##############ECHO OF PROBLEM################# ##############temp/sub_sin_cospostode.ode################# diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(cos(c(x)) - sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.8951707486311977 y[1] (numeric) 0.8951707486311977 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49003328892062076 Order of pole (three term test) 32.59933466539753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.8841777971195219 y[1] (numeric) 0.884177797119522 absolute error 1.1102230246251565e-16 relative error 1.2556558513932896e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48794872466530276 Order of pole (three term test) 32.60911481154044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.8730964285649468 y[1] (numeric) 0.8730964285649468 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4856689874260148 Order of pole (three term test) 32.61885131321357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.8619277510950932 y[1] (numeric) 0.861927751095093 absolute error 2.220446049250313e-16 relative error 2.57613941125483e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48319498906725655 Order of pole (three term test) 32.62854027594607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.8506728815684006 y[1] (numeric) 0.8506728815684006 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48052771915538545 Order of pole (three term test) 32.63817782428206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.839332945462443 y[1] (numeric) 0.839332945462443 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47766824456280293 Order of pole (three term test) 32.647760103330675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.8279090767613809 y[1] (numeric) 0.8279090767613809 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4746177090412204 Order of pole (three term test) 32.65728328030806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.8164024178425646 y[1] (numeric) 0.8164024178425646 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47137733276417304 Order of pole (three term test) 32.6667435460704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.8048141193622972 y[1] (numeric) 0.8048141193622972 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46794841183896746 Order of pole (three term test) 32.67613711663755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.7931453401407697 y[1] (numeric) 0.7931453401407698 absolute error 1.1102230246251565e-16 relative error 1.3997724861222927e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4643323177882551 Order of pole (three term test) 32.68546023470649 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.7813972470461803 y[1] (numeric) 0.7813972470461803 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4605304970014425 Order of pole (three term test) 32.69470917115432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.7695710148780486 y[1] (numeric) 0.7695710148780485 absolute error 1.1102230246251565e-16 relative error 1.4426518192100697e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45654447015615407 Order of pole (three term test) 32.70388022652978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.757667826249736 y[1] (numeric) 0.757667826249736 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45237583160998174 Order of pole (three term test) 32.71296973253301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.7456888714701863 y[1] (numeric) 0.7456888714701864 absolute error 1.1102230246251565e-16 relative error 1.4888555630933068e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4480262487627626 Order of pole (three term test) 32.72197405348276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.7336353484248949 y[1] (numeric) 0.7336353484248949 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4434974613896421 Order of pole (three term test) 32.73088958777074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.7215084624561217 y[1] (numeric) 0.7215084624561218 absolute error 1.1102230246251565e-16 relative error 1.5387526029089014e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4387912809451864 Order of pole (three term test) 32.73971276930211 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.709309426242358 y[1] (numeric) 0.709309426242358 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.433909589838825 Order of pole (three term test) 32.748440068921866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.6970394596770593 y[1] (numeric) 0.6970394596770593 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42885434068191197 Order of pole (three term test) 32.75706799582656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.684699789746657 y[1] (numeric) 0.6846997897466571 absolute error 1.1102230246251565e-16 relative error 1.6214741719665863e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4236275555067079 Order of pole (three term test) 32.76559309896044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.6722916504078613 y[1] (numeric) 0.6722916504078618 absolute error 4.440892098500626e-16 relative error 6.605603529073217e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4182313249575934 Order of pole (three term test) 32.77401196839594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.6598162824642663 y[1] (numeric) 0.6598162824642665 absolute error 2.220446049250313e-16 relative error 3.365248946202788e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4126678074548391 Order of pole (three term test) 32.78232123669751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.6472749334422697 y[1] (numeric) 0.6472749334422698 absolute error 1.1102230246251565e-16 relative error 1.7152263547746006e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4069392283312669 Order of pole (three term test) 32.790517580268656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.6346688574663228 y[1] (numeric) 0.6346688574663231 absolute error 2.220446049250313e-16 relative error 3.498589891608374e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40104787894214616 Order of pole (three term test) 32.79859772068119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.6219993151335184 y[1] (numeric) 0.6219993151335187 absolute error 3.3306690738754696e-16 relative error 5.354779326662937e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39499611574868243 Order of pole (three term test) 32.806558425986715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.6092675733875317 y[1] (numeric) 0.6092675733875317 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3887863593754638 Order of pole (three term test) 32.81439651200924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.5964749053919274 y[1] (numeric) 0.5964749053919275 absolute error 1.1102230246251565e-16 relative error 1.8613071808874494e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3824210936422441 Order of pole (three term test) 32.82210884361885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.5836225904028447 y[1] (numeric) 0.5836225904028448 absolute error 1.1102230246251565e-16 relative error 1.9022961805827745e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3759028645704472 Order of pole (three term test) 32.82969233598573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.5707119136410721 y[1] (numeric) 0.5707119136410723 absolute error 2.220446049250313e-16 relative error 3.8906600618938185e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3692342793647937 Order of pole (three term test) 32.83714395581407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.5577441661635272 y[1] (numeric) 0.5577441661635275 absolute error 3.3306690738754696e-16 relative error 5.971678909320833e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3624180053704524 Order of pole (three term test) 32.844460722555276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.5447206447341513 y[1] (numeric) 0.5447206447341515 absolute error 2.220446049250313e-16 relative error 4.0763023592285413e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3554567690061386 Order of pole (three term test) 32.85163970960021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.5316426516942343 y[1] (numeric) 0.5316426516942344 absolute error 1.1102230246251565e-16 relative error 2.0882881030841057e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3483533546735824 Order of pole (three term test) 32.85867804544976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.5185114948321818 y[1] (numeric) 0.5185114948321818 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3411106036438065 Order of pole (three term test) 32.86557291486345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.5053284872527377 y[1] (numeric) 0.5053284872527376 absolute error 1.1102230246251565e-16 relative error 2.1970323317036422e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33373141292065395 Order of pole (three term test) 32.87232155998544 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.492094947245674 y[1] (numeric) 0.4920949472456739 absolute error 1.1102230246251565e-16 relative error 2.2561154729168306e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3262187340820257 Order of pole (three term test) 32.87892128144764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.4788121981539634 y[1] (numeric) 0.47881219815396336 absolute error 5.551115123125783e-17 relative error 1.1593512330153305e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3185755720992902 Order of pole (three term test) 32.885369439449484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.4654815682414463 y[1] (numeric) 0.4654815682414463 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.310804984135332 Order of pole (three term test) 32.89166345481374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.45210439056000506 y[1] (numeric) 0.45210439056000506 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3029100783217311 Order of pole (three term test) 32.89780081001818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.4386820028162603 y[1] (numeric) 0.4386820028162602 absolute error 1.1102230246251565e-16 relative error 2.5308150721883336e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2948940125155489 Order of pole (three term test) 32.90377905020256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.42521574723780087 y[1] (numeric) 0.42521574723780087 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2867599930362279 Order of pole (three term test) 32.9095957841505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.41170697043896304 y[1] (numeric) 0.4117069704389631 absolute error 5.551115123125783e-17 relative error 1.3483170122689858e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2785112733831085 Order of pole (three term test) 32.91524868524598 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.39815702328616925 y[1] (numeric) 0.3981570232861693 absolute error 5.551115123125783e-17 relative error 1.3942024875788777e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2701511529340694 Order of pole (three term test) 32.920735492403956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.38456726076284325 y[1] (numeric) 0.38456726076284337 absolute error 1.1102230246251565e-16 relative error 2.886941083915654e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26168297562582465 Order of pole (three term test) 32.92605401097468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.37093904183391274 y[1] (numeric) 0.3709390418339128 absolute error 5.551115123125783e-17 relative error 1.496503332644959e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25311012861638893 Order of pole (three term test) 32.931202113621666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.3572737293099135 y[1] (numeric) 0.35727372930991363 absolute error 1.1102230246251565e-16 relative error 3.107485755444685e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24443604093026322 Order of pole (three term test) 32.93617774117249 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.34357268971071053 y[1] (numeric) 0.3435726897107106 absolute error 5.551115123125783e-17 relative error 1.6157032527235626e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23566418208686946 Order of pole (three term test) 32.94097890344247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.32983729312884613 y[1] (numeric) 0.3298372931288461 absolute error 5.551115123125783e-17 relative error 1.6829858960057984e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2267980607127882 Order of pole (three term test) 32.94560368003072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.31606891309253216 y[1] (numeric) 0.3160689130925322 absolute error 5.551115123125783e-17 relative error 1.7562989883477218e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21784122313835605 Order of pole (three term test) 32.950050221088254 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.30226892642829895 y[1] (numeric) 0.30226892642829895 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20879725197917864 Order of pole (three term test) 32.95431674805795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.2884387131233128 y[1] (numeric) 0.2884387131233129 absolute error 5.551115123125783e-17 relative error 1.924538860618401e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19966976470313574 Order of pole (three term test) 32.95840155438588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.2745796561873791 y[1] (numeric) 0.27457965618737923 absolute error 1.1102230246251565e-16 relative error 4.043354995926997e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19046241218344087 Order of pole (three term test) 32.96230300620401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.2606931415146424 y[1] (numeric) 0.2606931415146424 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18117887723833695 Order of pole (three term test) 32.96601954298362 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.24678055774499763 y[1] (numeric) 0.24678055774499774 absolute error 1.1102230246251565e-16 relative error 4.498826952860557e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1718228731580234 Order of pole (three term test) 32.96954967815954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.23284329612522825 y[1] (numeric) 0.23284329612522833 absolute error 8.326672684688674e-17 relative error 3.5760843551237166e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16239814221938803 Order of pole (three term test) 32.97289199972477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.2188827503698818 y[1] (numeric) 0.21888275036988183 absolute error 2.7755575615628914e-17 relative error 1.2680567823972332e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15290845418914453 Order of pole (three term test) 32.97604517079526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.20490031652189988 y[1] (numeric) 0.20490031652190008 absolute error 1.942890293094024e-16 relative error 9.482124410902832e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1433576048159774 Order of pole (three term test) 32.97900793014461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.19089739281301565 y[1] (numeric) 0.19089739281301582 absolute error 1.6653345369377348e-16 relative error 8.72371545990119e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13374941431229334 Order of pole (three term test) 32.98177909270859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.17687537952393062 y[1] (numeric) 0.17687537952393084 absolute error 2.220446049250313e-16 relative error 1.2553731645561753e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12408772582618578 Order of pole (three term test) 32.98435755005912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.16283567884428896 y[1] (numeric) 0.16283567884428915 absolute error 1.942890293094024e-16 relative error 1.1931600659533012e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11437640390422878 Order of pole (three term test) 32.98674227084765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.14877969473245867 y[1] (numeric) 0.14877969473245897 absolute error 3.0531133177191805e-16 relative error 2.052103496521757e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10461933294570921 Order of pole (three term test) 32.98893230121766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.134708832775138 y[1] (numeric) 0.13470883277513818 absolute error 1.6653345369377348e-16 relative error 1.2362474699172738e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09482041564891654 Order of pole (three term test) 32.990926765186174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.12062450004679659 y[1] (numeric) 0.1206245000467969 absolute error 3.0531133177191805e-16 relative error 2.531088888687387e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0849835714501199 Order of pole (three term test) 32.99272486499423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.1065281049689708 y[1] (numeric) 0.106528104968971 absolute error 1.942890293094024e-16 relative error 1.823828832456884e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07511273495584263 Order of pole (three term test) 32.99432588142586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.09242105716942106 y[1] (numeric) 0.09242105716942135 absolute error 2.914335439641036e-16 relative error 3.1533240680190886e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06521185436907243 Order of pole (three term test) 32.99572917409585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.07830476734117175 y[1] (numeric) 0.07830476734117205 absolute error 2.914335439641036e-16 relative error 3.7217854526575057e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05528488991003446 Order of pole (three term test) 32.996934181705825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.064180647101442 y[1] (numeric) 0.06418064710144239 absolute error 3.885780586188048e-16 relative error 6.054442829232152e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04533581223215427 Order of pole (three term test) 32.997940422268826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.050050108850485886 y[1] (numeric) 0.05005010885048627 absolute error 3.8163916471489756e-16 relative error 7.625141552737954e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.035368600833850794 Order of pole (three term test) 32.998747493302034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.035914565630353 y[1] (numeric) 0.035914565630353376 absolute error 3.7470027081099033e-16 relative error 1.0433100449203662e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025387242466788723 Order of pole (three term test) 32.99935507198779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.02177543098358581 y[1] (numeric) 0.021775430983586152 absolute error 3.434752482434078e-16 relative error 1.5773522393302682e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015395729541232505 Order of pole (three term test) 32.999762915302746 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 0.7804034706280868 y[1] (closed_form) 0.007063532885291934 y[1] (numeric) 0.007063532885292169 absolute error 2.3505503099485736e-16 relative error 3.327726150809059e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.000554953202513564 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004994609701522454 Order of pole (three term test) 32.99997505325159 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 0.7900422961372556 y[1] (closed_form) -0.0065677718971203225 y[1] (numeric) -0.0065677718971177065 absolute error 2.615963001773025e-15 relative error 3.9830296221463007e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.800104594449539 y[1] (closed_form) -0.020797284559340823 y[1] (numeric) -0.020797284559335053 absolute error 5.7696902810988604e-15 relative error 2.774251736872774e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8101668927618223 y[1] (closed_form) -0.03502469151744203 y[1] (numeric) -0.03502469151743293 absolute error 9.096889908022376e-15 relative error 2.5972790948043594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.820035685337331 y[1] (closed_form) -0.04897505888760856 y[1] (numeric) -0.048975058887596415 absolute error 1.214306433183765e-14 relative error 2.479438434102635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300979836496143 y[1] (closed_form) -0.06319404273469642 y[1] (numeric) -0.06319404273468099 absolute error 1.5432100042289676e-14 relative error 2.4420181672942324e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8401602819618976 y[1] (closed_form) -0.07740662824859146 y[1] (numeric) -0.0774066282485729 absolute error 1.855460229904793e-14 relative error 2.3970301663908942e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500290745374063 y[1] (closed_form) -0.09133829105162106 y[1] (numeric) -0.09133829105159941 absolute error 2.1649348980190553e-14 relative error 2.3702380163818846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600913728496896 y[1] (closed_form) -0.10553395559633072 y[1] (numeric) -0.1055339555963058 absolute error 2.4924506902834764e-14 relative error 2.361752363208241e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.870153671161973 y[1] (closed_form) -0.11971893493430519 y[1] (numeric) -0.11971893493427718 absolute error 2.8005375796169574e-14 relative error 2.3392603527200855e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800224637374816 y[1] (closed_form) -0.13361936113856276 y[1] (numeric) -0.13361936113853176 absolute error 3.1002977962657496e-14 relative error 2.3202459358047318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900847620497649 y[1] (closed_form) -0.14777893687019972 y[1] (numeric) -0.14777893687016552 absolute error 3.419486915845482e-14 relative error 2.3139203652878877e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9001470603620483 y[1] (closed_form) -0.16192355013328696 y[1] (numeric) -0.1619235501332497 absolute error 3.727573805178963e-14 relative error 2.302057855148692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100158529375569 y[1] (closed_form) -0.17578023580558133 y[1] (numeric) -0.1757802358055409 absolute error 4.043987367197133e-14 relative error 2.3005927535959814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200781512498403 y[1] (closed_form) -0.1898909856766362 y[1] (numeric) -0.1898909856765927 absolute error 4.349298698969051e-14 relative error 2.290418728130379e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9301404495621236 y[1] (closed_form) -0.20398250927660522 y[1] (numeric) -0.2039825092765584 absolute error 4.682365606356598e-14 relative error 2.2954740693022834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400092421376323 y[1] (closed_form) -0.2177829898299264 y[1] (numeric) -0.21778298982987643 absolute error 4.9960036108132044e-14 relative error 2.294028387944688e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15215894261719545 Order of pole (three term test) 32.97631052713031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500715404499156 y[1] (closed_form) -0.23183222071350718 y[1] (numeric) -0.23183222071345405 absolute error 5.312417172831374e-14 relative error 2.2914921646703867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9601338387621989 y[1] (closed_form) -0.24585797881818794 y[1] (numeric) -0.24585797881813157 absolute error 5.6371574075342323e-14 relative error 2.2928511145464643e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700026313377076 y[1] (closed_form) -0.2595898402240515 y[1] (numeric) -0.2595898402239922 absolute error 5.934142066621462e-14 relative error 2.2859685346312917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800649296499909 y[1] (closed_form) -0.2735649143318072 y[1] (numeric) -0.273564914331745 absolute error 6.217248937900877e-14 relative error 2.27267774929645e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9901272279622743 y[1] (closed_form) -0.2875122902674574 y[1] (numeric) -0.28751229026739217 absolute error 6.522560269672795e-14 relative error 2.2686196348702882e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9999960205377829 y[1] (closed_form) -0.30116318022276933 y[1] (numeric) -0.30116318022270094 absolute error 6.838973831690964e-14 relative error 2.270853238643648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100583188500605 y[1] (closed_form) -0.31505152647302737 y[1] (numeric) -0.31505152647296386 absolute error 6.350475700855895e-14 relative error 2.0156943125935247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.020120617162338 y[1] (closed_form) -0.3289079740734765 y[1] (numeric) -0.3289079740734176 absolute error 5.889733145636455e-14 relative error 1.7906933275873442e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.029989409737841 y[1] (closed_form) -0.3424656131118664 y[1] (numeric) -0.3424656131118122 absolute error 5.42343947529389e-14 relative error 1.583644975626304e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400517080501186 y[1] (closed_form) -0.35625473843779676 y[1] (numeric) -0.3562547384377473 absolute error 4.9460435747050724e-14 relative error 1.3883446424863954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0501140063623962 y[1] (closed_form) -0.37000779333019673 y[1] (numeric) -0.37000779333015227 absolute error 4.446443213623752e-14 relative error 1.201716097275747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25252123868627296 Order of pole (three term test) 32.93155030414353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0599827989378992 y[1] (closed_form) -0.3834599858678627 y[1] (numeric) -0.38345998586782265 absolute error 4.0023540037736893e-14 relative error 1.0437474968125798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700450972501767 y[1] (closed_form) -0.39713748645541624 y[1] (numeric) -0.39713748645538105 absolute error 3.519406988061746e-14 relative error 8.861935999730524e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0801073955624543 y[1] (closed_form) -0.4107747772723701 y[1] (numeric) -0.41077477727233974 absolute error 3.036459972349803e-14 relative error 7.392031206279334e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27793873067298136 Order of pole (three term test) 32.91562779400823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0901696938747318 y[1] (closed_form) -0.42437047755676155 y[1] (numeric) -0.4243704775567356 absolute error 2.5923707624997405e-14 relative error 6.108744362767315e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000384864502348 y[1] (closed_form) -0.4376629950240147 y[1] (numeric) -0.43766299502399353 absolute error 2.1149748619109232e-14 relative error 4.8324278861978584e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1101007847625124 y[1] (closed_form) -0.4511722545320738 y[1] (numeric) -0.4511722545320574 absolute error 1.6431300764452317e-14 relative error 3.641912949964926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30235644818267154 Order of pole (three term test) 32.898233930988624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.12016308307479 y[1] (closed_form) -0.46463583330367675 y[1] (numeric) -0.4646358333036652 absolute error 1.1546319456101628e-14 relative error 2.485025611133867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.130031875650293 y[1] (closed_form) -0.4777948099914505 y[1] (numeric) -0.47779480999144336 absolute error 7.16093850883226e-15 relative error 1.4987476546596216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400941739625705 y[1] (closed_form) -0.49116388612593215 y[1] (numeric) -0.49116388612592976 absolute error 2.3869795029440866e-15 relative error 4.859843262849492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.150156472274848 y[1] (closed_form) -0.5044832324115289 y[1] (numeric) -0.5044832324115311 absolute error 2.220446049250313e-15 relative error 4.4014268593946023e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.160025264850351 y[1] (closed_form) -0.5174968313471326 y[1] (numeric) -0.5174968313471394 absolute error 6.772360450213455e-15 relative error 1.308676699059943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700875631626286 y[1] (closed_form) -0.5307136981433391 y[1] (numeric) -0.5307136981433503 absolute error 1.1213252548714081e-14 relative error 2.1128628463789005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1801498614749062 y[1] (closed_form) -0.5438768307120193 y[1] (numeric) -0.543876830712035 absolute error 1.5654144647214707e-14 relative error 2.8782517958562416e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900186540504092 y[1] (closed_form) -0.5567333456952779 y[1] (numeric) -0.556733345695298 absolute error 2.0095036745715333e-14 relative error 3.609454490393349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000809523626867 y[1] (closed_form) -0.5697861141062844 y[1] (numeric) -0.5697861141063093 absolute error 2.4868995751603507e-14 relative error 4.3646194836830645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2101432506749643 y[1] (closed_form) -0.582781192246993 y[1] (numeric) -0.5827811922470223 absolute error 2.930988785010413e-14 relative error 5.029312585928834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200120432504673 y[1] (closed_form) -0.5954690583803948 y[1] (numeric) -0.5954690583804286 absolute error 3.3861802251067274e-14 relative error 5.686576283773226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300743415627449 y[1] (closed_form) -0.6083459869716745 y[1] (numeric) -0.6083459869717129 absolute error 3.8413716652030416e-14 relative error 6.314452215465837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2401366398750224 y[1] (closed_form) -0.6211613211443573 y[1] (numeric) -0.6211613211444003 absolute error 4.296563105299356e-14 relative error 6.916984298674384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500054324505254 y[1] (closed_form) -0.6336691252360946 y[1] (numeric) -0.6336691252361425 absolute error 4.785061236134425e-14 relative error 7.551356134562482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260067730762803 y[1] (closed_form) -0.6463586307473616 y[1] (numeric) -0.6463586307474142 absolute error 5.262457136723242e-14 relative error 8.141698565451891e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2701300290750805 y[1] (closed_form) -0.6589826930981266 y[1] (numeric) -0.6589826930981835 absolute error 5.684341886080802e-14 relative error 8.62593501409963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799988216505835 y[1] (closed_form) -0.6712991839286735 y[1] (numeric) -0.6712991839287344 absolute error 6.09512440519211e-14 relative error 9.079594540129405e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290061119962861 y[1] (closed_form) -0.683789851693441 y[1] (numeric) -0.6837898516935058 absolute error 6.483702463810914e-14 relative error 9.482010368761235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3001234182751387 y[1] (closed_form) -0.6962112864242775 y[1] (numeric) -0.6962112864243466 absolute error 6.905587213168474e-14 relative error 9.918809631247698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099922108506417 y[1] (closed_form) -0.7083253848672655 y[1] (numeric) -0.7083253848673385 absolute error 7.30526750203353e-14 relative error 1.0313434557202095e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200545091629192 y[1] (closed_form) -0.7206059790807494 y[1] (numeric) -0.720605979080827 absolute error 7.760458942129844e-14 relative error 1.0769351306284714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3301168074751968 y[1] (closed_form) -0.7328136126644774 y[1] (numeric) -0.7328136126645591 absolute error 8.171241461241152e-14 relative error 1.1150504466655423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399856000506998 y[1] (closed_form) -0.7447144216527675 y[1] (numeric) -0.7447144216528533 absolute error 8.58202398035246e-14 relative error 1.15239126983819e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3500478983629773 y[1] (closed_form) -0.7567738954788974 y[1] (numeric) -0.7567738954789875 absolute error 9.015010959956271e-14 relative error 1.1912423266465134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360110196675255 y[1] (closed_form) -0.7687567467101555 y[1] (numeric) -0.7687567467102501 absolute error 9.459100169806334e-14 relative error 1.2304412560001507e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3701724949875325 y[1] (closed_form) -0.7806617620949212 y[1] (numeric) -0.7806617620950198 absolute error 9.85878045867139e-14 relative error 1.2628747733480833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3800412875630355 y[1] (closed_form) -0.792261066546587 y[1] (numeric) -0.7922610665466896 absolute error 1.0258460747536446e-13 relative error 1.2948333801448038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390103585875313 y[1] (closed_form) -0.804008356419823 y[1] (numeric) -0.8040083564199294 absolute error 1.0635936575909e-13 relative error 1.3228639343090748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4001658841875906 y[1] (closed_form) -0.8156742412565808 y[1] (numeric) -0.8156742412566909 absolute error 1.1002310174035301e-13 relative error 1.348860809566056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4100346767630936 y[1] (closed_form) -0.8270355702974236 y[1] (numeric) -0.827035570297538 absolute error 1.1446399383885364e-13 relative error 1.3840274584282923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4200969750753711 y[1] (closed_form) -0.8385367317029969 y[1] (numeric) -0.8385367317031154 absolute error 1.184607967275042e-13 relative error 1.4127084986118662e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4301592733876487 y[1] (closed_form) -0.8499529921088633 y[1] (numeric) -0.8499529921089861 absolute error 1.2279066652354231e-13 relative error 1.4446759722426519e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4400280659631517 y[1] (closed_form) -0.8610661258148894 y[1] (numeric) -0.861066125815016 absolute error 1.2656542480726785e-13 relative error 1.469868817420843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4500903642754293 y[1] (closed_form) -0.8723108130445659 y[1] (numeric) -0.8723108130446966 absolute error 1.3067324999838092e-13 relative error 1.498012497888237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4601526625877068 y[1] (closed_form) -0.8834671796828092 y[1] (numeric) -0.8834671796829436 absolute error 1.3444800828210646e-13 relative error 1.5218223310839603e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4700214551632098 y[1] (closed_form) -0.8943221213906527 y[1] (numeric) -0.8943221213907907 absolute error 1.3800072196090696e-13 relative error 1.5430762435610855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4800837534754874 y[1] (closed_form) -0.9053002194439418 y[1] (numeric) -0.9053002194440838 absolute error 1.4199752484955752e-13 relative error 1.5685130943277136e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490146051787765 y[1] (closed_form) -0.9161866567616189 y[1] (numeric) -0.9161866567617647 absolute error 1.4577228313328305e-13 relative error 1.5910762513016088e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500014844363268 y[1] (closed_form) -0.9267736420609002 y[1] (numeric) -0.9267736420610494 absolute error 1.4921397450962104e-13 relative error 1.6100368821215988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100771426755455 y[1] (closed_form) -0.9374752757438614 y[1] (numeric) -0.9374752757440141 absolute error 1.5276668818842154e-13 relative error 1.6295543161626882e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.520139440987823 y[1] (closed_form) -0.9480819909991592 y[1] (numeric) -0.9480819909993159 absolute error 1.566524687746096e-13 relative error 1.6523092966834817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.530008233563326 y[1] (closed_form) -0.9583914965159233 y[1] (numeric) -0.9583914965160832 absolute error 1.5998313784848506e-13 relative error 1.6692879520538088e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400705318756036 y[1] (closed_form) -0.9688070393242577 y[1] (numeric) -0.9688070393244217 absolute error 1.6397994073713562e-13 relative error 1.6925965035463773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5501328301878812 y[1] (closed_form) -0.9791244913954165 y[1] (numeric) -0.9791244913955841 absolute error 1.6764367671839864e-13 relative error 1.712179382618428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600016227633842 y[1] (closed_form) -0.9891472433587498 y[1] (numeric) -0.9891472433589209 absolute error 1.7108536809473662e-13 relative error 1.7296248788380475e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49988376226409487 Order of pole (three term test) 32.51079186281785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700639210756617 y[1] (closed_form) -0.9992673261371876 y[1] (numeric) -0.9992673261373622 absolute error 1.7463808177353712e-13 relative error 1.7476612834788254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5801262193879393 y[1] (closed_form) -1.0092862341050823 y[1] (numeric) -1.009286234105261 absolute error 1.787459069646502e-13 relative error 1.7710130280647422e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899950119634423 y[1] (closed_form) -1.019013216689204 y[1] (numeric) -1.019013216689386 absolute error 1.8185453143360064e-13 relative error 1.7846140604971734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000573102757198 y[1] (closed_form) -1.028828736059396 y[1] (numeric) -1.0288287360595816 absolute error 1.8562928971732617e-13 relative error 1.8042778473346364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6101196085879974 y[1] (closed_form) -1.0385400875560578 y[1] (numeric) -1.0385400875562467 absolute error 1.8895995879120164e-13 relative error 1.8194767930034482e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4984544456819091 Order of pole (three term test) 32.46070291296779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6199884011635004 y[1] (closed_form) -1.047962550990378 y[1] (numeric) -1.0479625509905706 absolute error 1.9251267247000214e-13 relative error 1.8370186252177414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.630050699475778 y[1] (closed_form) -1.0574646775397123 y[1] (numeric) -1.0574646775399075 absolute error 1.9517720772910252e-13 relative error 1.8457090045144584e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6401129977880555 y[1] (closed_form) -1.0668597368552766 y[1] (numeric) -1.0668597368554755 absolute error 1.9895196601282805e-13 relative error 1.864837139690619e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6499817903635585 y[1] (closed_form) -1.0759692052951308 y[1] (numeric) -1.0759692052953338 absolute error 2.0294876890147862e-13 relative error 1.8861949570927653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.660044088675836 y[1] (closed_form) -1.0851493915191062 y[1] (numeric) -1.0851493915193124 absolute error 2.0627943797535409e-13 relative error 1.9009312412421155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6701063869881136 y[1] (closed_form) -1.094219707459899 y[1] (numeric) -1.0942197074601077 absolute error 2.0872192862952943e-13 relative error 1.907495608117428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6801686853003912 y[1] (closed_form) -1.1031792347571534 y[1] (numeric) -1.1031792347573661 absolute error 2.1271873151818e-13 relative error 1.9282336434206586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900374778758942 y[1] (closed_form) -1.1118579746018886 y[1] (numeric) -1.1118579746021047 absolute error 2.1604940059205546e-13 relative error 1.94313847206442e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000997761881718 y[1] (closed_form) -1.1205953880925774 y[1] (numeric) -1.1205953880927975 absolute error 2.2004620348070603e-13 relative error 1.9636543735492066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7101620745004493 y[1] (closed_form) -1.1292193424286237 y[1] (numeric) -1.1292193424288468 absolute error 2.2315482794965646e-13 relative error 1.976186729760713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200308670759523 y[1] (closed_form) -1.1375664014572102 y[1] (numeric) -1.137566401457436 absolute error 2.2581936320875684e-13 relative error 1.9851092904949082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300931653882299 y[1] (closed_form) -1.1459630528801876 y[1] (numeric) -1.1459630528804159 absolute error 2.282618538629322e-13 relative error 1.991877951817329e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7401554637005074 y[1] (closed_form) -1.1542436766980069 y[1] (numeric) -1.1542436766982378 absolute error 2.3092638912203256e-13 relative error 2.0006727676659518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500242562760104 y[1] (closed_form) -1.1622515464307117 y[1] (numeric) -1.1622515464309455 absolute error 2.3381296898605797e-13 relative error 2.0117243096307368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.760086554588288 y[1] (closed_form) -1.1702998826961024 y[1] (numeric) -1.170299882696339 absolute error 2.3669954885008337e-13 relative error 2.0225546661149956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7701488529005656 y[1] (closed_form) -1.1782297272768227 y[1] (numeric) -1.1782297272770612 absolute error 2.384759056894836e-13 relative error 2.0240187475209934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800176454760686 y[1] (closed_form) -1.1858912043468806 y[1] (numeric) -1.185891204347122 absolute error 2.4136248555350903e-13 relative error 2.0352835459846196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900799437883461 y[1] (closed_form) -1.1935839856868182 y[1] (numeric) -1.193583985687062 absolute error 2.438049762076844e-13 relative error 2.042629418049647e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8001422421006237 y[1] (closed_form) -1.201155917850104 y[1] (numeric) -1.2011559178503501 absolute error 2.462474668618597e-13 relative error 2.0500874466206455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100110346761267 y[1] (closed_form) -1.208464110483405 y[1] (numeric) -1.2084641104836535 absolute error 2.4846791291111003e-13 relative error 2.0560636493517286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200733329884042 y[1] (closed_form) -1.2157944169644637 y[1] (numeric) -1.2157944169647146 absolute error 2.509104035652854e-13 relative error 2.0637568330980355e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8301356313006818 y[1] (closed_form) -1.223001625485068 y[1] (numeric) -1.2230016254853218 absolute error 2.537969834293108e-13 relative error 2.0751974334347236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400044238761848 y[1] (closed_form) -1.229949959699557 y[1] (numeric) -1.229949959699813 absolute error 2.560174294785611e-13 relative error 2.0815271992130407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500667221884624 y[1] (closed_form) -1.236911197447479 y[1] (numeric) -1.2369111974477376 absolute error 2.5868196473766147e-13 relative error 2.0913543775129864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.86012902050074 y[1] (closed_form) -1.2437471991821871 y[1] (numeric) -1.2437471991824478 absolute error 2.6068036618198676e-13 relative error 2.0959272620142935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.869997813076243 y[1] (closed_form) -1.2503294247013947 y[1] (numeric) -1.2503294247016576 absolute error 2.6290081223123707e-13 relative error 2.1026523653478232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800601113885205 y[1] (closed_form) -1.2569153318325197 y[1] (numeric) -1.2569153318327844 absolute error 2.646771690706373e-13 relative error 2.1057676867124475e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.890122409700798 y[1] (closed_form) -1.2633739775519677 y[1] (numeric) -1.2633739775522348 absolute error 2.6711965972481266e-13 relative error 2.1143356161443887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.899991202276301 y[1] (closed_form) -1.2695841734273612 y[1] (numeric) -1.26958417342763 absolute error 2.688960165642129e-13 relative error 2.1179849449312445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100535005885786 y[1] (closed_form) -1.2757888256814134 y[1] (numeric) -1.275788825681685 absolute error 2.715605518233133e-13 relative error 2.1285697629329032e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9201157989008562 y[1] (closed_form) -1.2818643056015417 y[1] (numeric) -1.281864305601815 absolute error 2.7333690866271354e-13 relative error 2.1323388713475756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299845914763591 y[1] (closed_form) -1.28769688553863 y[1] (numeric) -1.2876968855389055 absolute error 2.7555735471196385e-13 relative error 2.1399240598201893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400468897886367 y[1] (closed_form) -1.2935147016078052 y[1] (numeric) -1.293514701608082 absolute error 2.76667577736589e-13 relative error 2.138882359765207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9501091881009143 y[1] (closed_form) -1.2992015506159684 y[1] (numeric) -1.299201550616246 absolute error 2.7755575615628914e-13 relative error 2.1363564107870433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9601714864131918 y[1] (closed_form) -1.3047568567753836 y[1] (numeric) -1.304756856775663 absolute error 2.795541576006144e-13 relative error 2.1425766505762094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700402789886948 y[1] (closed_form) -1.3100770145489262 y[1] (numeric) -1.3100770145492078 absolute error 2.815525590449397e-13 relative error 2.149129829148871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9801025773009724 y[1] (closed_form) -1.315370117119958 y[1] (numeric) -1.3153701171202414 absolute error 2.8332891588433995e-13 relative error 2.1539862598117785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.99016487561325 y[1] (closed_form) -1.3205300397911648 y[1] (numeric) -1.3205300397914501 absolute error 2.8532731732866523e-13 relative error 2.160702965710559e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000033668188753 y[1] (closed_form) -1.3254608661087515 y[1] (numeric) -1.3254608661090375 absolute error 2.859934511434403e-13 relative error 2.157690645239881e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100959665010305 y[1] (closed_form) -1.3303554609065642 y[1] (numeric) -1.3303554609068529 absolute error 2.886579864025407e-13 relative error 2.1697808960459043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020158264813308 y[1] (closed_form) -1.3351153585535833 y[1] (numeric) -1.3351153585538726 absolute error 2.893241202173158e-13 relative error 2.1670346188718802e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.030027057388811 y[1] (closed_form) -1.3396524179596425 y[1] (numeric) -1.339652417959933 absolute error 2.9043434324194095e-13 relative error 2.167982824114086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400893557010886 y[1] (closed_form) -1.3441441021202196 y[1] (numeric) -1.3441441021205112 absolute error 2.915445662665661e-13 relative error 2.1689978463372412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.050151654013366 y[1] (closed_form) -1.3484996930439648 y[1] (numeric) -1.3484996930442568 absolute error 2.9198865547641617e-13 relative error 2.1652852943355958e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060020446588869 y[1] (closed_form) -1.3526389042904206 y[1] (numeric) -1.3526389042907134 absolute error 2.928768338961163e-13 relative error 2.165225567349449e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700827449011467 y[1] (closed_form) -1.3567236373823515 y[1] (numeric) -1.3567236373826455 absolute error 2.9398705692074145e-13 relative error 2.166889769002308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0801450432134243 y[1] (closed_form) -1.3606710035721719 y[1] (numeric) -1.3606710035724674 absolute error 2.9554136915521667e-13 relative error 2.172026657284027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900138357889273 y[1] (closed_form) -1.364408643289674 y[1] (numeric) -1.3644086432899714 absolute error 2.973177259946169e-13 relative error 2.179095884923196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100076134101205 y[1] (closed_form) -1.3680827509486666 y[1] (numeric) -1.3680827509489655 absolute error 2.9887203822909214e-13 relative error 2.1846049737988872e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24506412331463845 Order of pole (three term test) 32.064161159457115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1101384324134824 y[1] (closed_form) -1.3716183416067385 y[1] (numeric) -1.3716183416070393 absolute error 3.008704396734174e-13 relative error 2.193543426380347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200072249889854 y[1] (closed_form) -1.3749510476539657 y[1] (numeric) -1.3749510476542681 absolute error 3.0242475190789264e-13 relative error 2.199531048206481e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130069523301263 y[1] (closed_form) -1.37821122488807 y[1] (numeric) -1.3782112248883738 absolute error 3.0375701953744283e-13 relative error 2.2039946711514568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1401318216135405 y[1] (closed_form) -1.3813318596234665 y[1] (numeric) -1.3813318596237716 absolute error 3.05089287166993e-13 relative error 2.2086603233067865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20940078811834886 Order of pole (three term test) 32.04596320807825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500006141890435 y[1] (closed_form) -1.3842566341114946 y[1] (numeric) -1.384256634111801 absolute error 3.064215547965432e-13 relative error 2.2136181055272628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.160062912501321 y[1] (closed_form) -1.3870999482740618 y[1] (numeric) -1.387099948274369 absolute error 3.0730973321624333e-13 relative error 2.2154837046791193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1701252108135987 y[1] (closed_form) -1.389802819963629 y[1] (numeric) -1.3898028199639376 absolute error 3.086420008457935e-13 relative error 2.2207610778475084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799940033891017 y[1] (closed_form) -1.392317031952639 y[1] (numeric) -1.3923170319529494 absolute error 3.1041835768519377e-13 relative error 2.229509160351584e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17257607806829625 Order of pole (three term test) 32.03075425922297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190056301701379 y[1] (closed_form) -1.3947409253803424 y[1] (numeric) -1.3947409253806538 absolute error 3.113065361048939e-13 relative error 2.2320025923094022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2001186000136568 y[1] (closed_form) -1.3970236026938077 y[1] (numeric) -1.397023602694119 absolute error 3.113065361048939e-13 relative error 2.2283555947416904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099873925891598 y[1] (closed_form) -1.399124990559712 y[1] (numeric) -1.399124990560024 absolute error 3.11972669919669e-13 relative error 2.2297698348942082e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200496909014373 y[1] (closed_form) -1.4011272828732566 y[1] (numeric) -1.4011272828735695 absolute error 3.128608483393691e-13 relative error 2.2329223915888156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230111989213715 y[1] (closed_form) -1.4029877124602983 y[1] (numeric) -1.4029877124606112 absolute error 3.128608483393691e-13 relative error 2.2299614284627773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239980781789218 y[1] (closed_form) -1.404674385929151 y[1] (numeric) -1.404674385929464 absolute error 3.128608483393691e-13 relative error 2.2272837852910716e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11517020415307459 Order of pole (three term test) 32.0134477871872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500430801014955 y[1] (closed_form) -1.406253275994604 y[1] (numeric) -1.4062532759949176 absolute error 3.135269821541442e-13 relative error 2.2295200125482037e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.260105378413773 y[1] (closed_form) -1.4076897843319123 y[1] (numeric) -1.407689784332226 absolute error 3.1374902675906924e-13 relative error 2.228822218156354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2701676767260506 y[1] (closed_form) -1.4089837654960529 y[1] (numeric) -1.4089837654963662 absolute error 3.133049375492192e-13 relative error 2.223623474035669e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800364693015536 y[1] (closed_form) -1.4101142937292557 y[1] (numeric) -1.4101142937295694 absolute error 3.1374902675906924e-13 relative error 2.224990046227484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290098767613831 y[1] (closed_form) -1.4111255886259282 y[1] (numeric) -1.4111255886262417 absolute error 3.135269821541442e-13 relative error 2.2218219602936864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3001610659261087 y[1] (closed_form) -1.4119940084777083 y[1] (numeric) -1.4119940084780214 absolute error 3.1308289294429414e-13 relative error 2.2173103502176575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3100298585016117 y[1] (closed_form) -1.4127068629529278 y[1] (numeric) -1.412706862953241 absolute error 3.133049375492192e-13 relative error 2.217763258361538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200921568138893 y[1] (closed_form) -1.4132920347128417 y[1] (numeric) -1.413292034713156 absolute error 3.141931159689193e-13 relative error 2.223129461228148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03607094030436778 Order of pole (three term test) 32.00129213373044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330154455126167 y[1] (closed_form) -1.4137341120773785 y[1] (numeric) -1.413734112077693 absolute error 3.1441516057384433e-13 relative error 2.2240049093236798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.34002324770167 y[1] (closed_form) -1.4140286515563818 y[1] (numeric) -1.4140286515566964 absolute error 3.1463720517876936e-13 relative error 2.2251119511083245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016168413711355464 Order of pole (three term test) 32.00026896671503 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500855460139474 y[1] (closed_form) -1.4141871737964984 y[1] (numeric) -1.4141871737968126 absolute error 3.141931159689193e-13 relative error 2.221722285356632e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.360147844326225 y[1] (closed_form) -1.4142025110093066 y[1] (numeric) -1.4142025110096201 absolute error 3.135269821541442e-13 relative error 2.21698787630056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370016636901728 y[1] (closed_form) -1.4140784705432417 y[1] (numeric) -1.4140784705435554 absolute error 3.1374902675906924e-13 relative error 2.2187525890167704e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800789352140055 y[1] (closed_form) -1.4138102006671054 y[1] (numeric) -1.4138102006674185 absolute error 3.1308289294429414e-13 relative error 2.2144619751404126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390141233526283 y[1] (closed_form) -1.4133987839318107 y[1] (numeric) -1.413398783932123 absolute error 3.12194714524594e-13 relative error 2.2088225777025703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400010026101786 y[1] (closed_form) -1.4128562750995368 y[1] (numeric) -1.412856275099849 absolute error 3.12194714524594e-13 relative error 2.2096707218333278e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100723244140636 y[1] (closed_form) -1.4121614544255479 y[1] (numeric) -1.41216145442586 absolute error 3.12194714524594e-13 relative error 2.2107579380970394e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420134622726341 y[1] (closed_form) -1.411323653826297 y[1] (numeric) -1.4113236538266087 absolute error 3.1175062531474396e-13 relative error 2.2089236899668204e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.430003415301844 y[1] (closed_form) -1.410363164634016 y[1] (numeric) -1.4103631646343275 absolute error 3.115285807098189e-13 relative error 2.208853637996561e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400657136141217 y[1] (closed_form) -1.409242418178354 y[1] (numeric) -1.4092424181786654 absolute error 3.113065361048939e-13 relative error 2.2090346706090626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4501280119263993 y[1] (closed_form) -1.4079789873469113 y[1] (numeric) -1.407978987347222 absolute error 3.106404022901188e-13 relative error 2.2062857832521066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599968045019023 y[1] (closed_form) -1.4066013817891878 y[1] (numeric) -1.4066013817894982 absolute error 3.1041835768519377e-13 relative error 2.2068679990228905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.47005910281418 y[1] (closed_form) -1.405055717703589 y[1] (numeric) -1.4050557177038985 absolute error 3.0953017926549364e-13 relative error 2.20297441137343e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4801214011264574 y[1] (closed_form) -1.4033677931414164 y[1] (numeric) -1.4033677931417248 absolute error 3.084199562408685e-13 relative error 2.1977129427380924e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4899901937019604 y[1] (closed_form) -1.4015743104239848 y[1] (numeric) -1.4015743104242924 absolute error 3.0753177782116836e-13 relative error 2.19418817492551e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.500052492014238 y[1] (closed_form) -1.3996051190888719 y[1] (numeric) -1.399605119089179 absolute error 3.070876886113183e-13 relative error 2.1941023537498143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5101147903265155 y[1] (closed_form) -1.3974942191448059 y[1] (numeric) -1.397494219145113 absolute error 3.070876886113183e-13 relative error 2.1974165216886556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199835829020185 y[1] (closed_form) -1.3952864725698593 y[1] (numeric) -1.3952864725701657 absolute error 3.064215547965432e-13 relative error 2.1961192975100766e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530045881214296 y[1] (closed_form) -1.3928955253436444 y[1] (numeric) -1.3928955253439506 absolute error 3.0619951019161817e-13 relative error 2.198294880128034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5401081795265736 y[1] (closed_form) -1.3903635488480872 y[1] (numeric) -1.3903635488483925 absolute error 3.0531133177191805e-13 relative error 2.195910069886885e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550170477838851 y[1] (closed_form) -1.3876907994432583 y[1] (numeric) -1.387690799443563 absolute error 3.0464519795714295e-13 relative error 2.195339178434898e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.560039270414354 y[1] (closed_form) -1.3849329719887393 y[1] (numeric) -1.3849329719890426 absolute error 3.0331293032759277e-13 relative error 2.1900910474536594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5701015687266318 y[1] (closed_form) -1.3819821965455914 y[1] (numeric) -1.3819821965458945 absolute error 3.0309088572266774e-13 relative error 2.1931605666142084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5801638670389093 y[1] (closed_form) -1.3788914967966526 y[1] (numeric) -1.3788914967969543 absolute error 3.0175861809311755e-13 relative error 2.1884145256834402e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5900326596144123 y[1] (closed_form) -1.3757246216272099 y[1] (numeric) -1.37572462162751 absolute error 3.0020430585864233e-13 relative error 2.1821540527751844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.60009495792669 y[1] (closed_form) -1.372357701565084 y[1] (numeric) -1.3723577015653827 absolute error 2.986499936241671e-13 relative error 2.1761818604841605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6101572562389674 y[1] (closed_form) -1.3688518316675926 y[1] (numeric) -1.3688518316678895 absolute error 2.9687363678476686e-13 relative error 2.16877846028889e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200260488144704 y[1] (closed_form) -1.3652787575013132 y[1] (numeric) -1.3652787575016088 absolute error 2.9554136915521667e-13 relative error 2.164696165756702e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.630088347126748 y[1] (closed_form) -1.3614987214858705 y[1] (numeric) -1.3614987214861647 absolute error 2.942091015256665e-13 relative error 2.160920879929888e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6401506454390256 y[1] (closed_form) -1.3575808350958602 y[1] (numeric) -1.3575808350961525 absolute error 2.922107000813412e-13 relative error 2.152436838582123e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500194380145285 y[1] (closed_form) -1.353604776041435 y[1] (numeric) -1.3536047760417258 absolute error 2.90878432451791e-13 relative error 2.1489170073886248e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.277203159772039 Order of pole (three term test) 32.083875606784225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660081736326806 y[1] (closed_form) -1.3494150243509904 y[1] (numeric) -1.3494150243512797 absolute error 2.893241202173158e-13 relative error 2.144070689864062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6701440346390837 y[1] (closed_form) -1.3450886457481455 y[1] (numeric) -1.3450886457484328 absolute error 2.873257187729905e-13 relative error 2.136109911277843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6800128272145867 y[1] (closed_form) -1.3407131784136612 y[1] (numeric) -1.3407131784139477 absolute error 2.864375403532904e-13 relative error 2.1364565140786098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900751255268642 y[1] (closed_form) -1.3361174798805124 y[1] (numeric) -1.3361174798807973 absolute error 2.8488322811881517e-13 relative error 2.1321720014043373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700137423839142 y[1] (closed_form) -1.3313865007979508 y[1] (numeric) -1.3313865007982342 absolute error 2.8332891588433995e-13 relative error 2.1280741220864873e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710006216414645 y[1] (closed_form) -1.3266155610736048 y[1] (numeric) -1.3266155610738863 absolute error 2.815525590449397e-13 relative error 2.122337226446255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200685147269223 y[1] (closed_form) -1.3216180496938306 y[1] (numeric) -1.3216180496941108 absolute error 2.802202914153895e-13 relative error 2.1202819640690143e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7301308130392 y[1] (closed_form) -1.3164867258173496 y[1] (numeric) -1.3164867258176283 absolute error 2.786659791809143e-13 relative error 2.116739756778806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.739999605614703 y[1] (closed_form) -1.3113246053349734 y[1] (numeric) -1.3113246053352503 absolute error 2.7688962234151404e-13 relative error 2.1115261714378e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500619039269805 y[1] (closed_form) -1.3059297765497566 y[1] (numeric) -1.3059297765500324 absolute error 2.757793993168889e-13 relative error 2.1117475400973947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760124202239258 y[1] (closed_form) -1.3004027236896913 y[1] (numeric) -1.3004027236899651 absolute error 2.737809978725636e-13 relative error 2.1053554632349002e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769992994814761 y[1] (closed_form) -1.2948540659622745 y[1] (numeric) -1.2948540659625467 absolute error 2.722266856380884e-13 relative error 2.1023734858938127e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800552931270386 y[1] (closed_form) -1.28906677261409 y[1] (numeric) -1.289066772614361 absolute error 2.708944180085382e-13 relative error 2.101477004633307e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790117591439316 y[1] (closed_form) -1.2831489625532255 y[1] (numeric) -1.2831489625534935 absolute error 2.680078381445128e-13 relative error 2.0886728350793155e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.799986384014819 y[1] (closed_form) -1.2772187587979078 y[1] (numeric) -1.277218758798174 absolute error 2.6623148130511254e-13 relative error 2.084462661319539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100486823270967 y[1] (closed_form) -1.271044206765218 y[1] (numeric) -1.2710442067654826 absolute error 2.646771690706373e-13 relative error 2.0823600600346973e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8201109806393743 y[1] (closed_form) -1.2647409627864916 y[1] (numeric) -1.2647409627867547 absolute error 2.631228568361621e-13 relative error 2.0804486023481586e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.830173278951652 y[1] (closed_form) -1.2583096650588343 y[1] (numeric) -1.258309665059095 absolute error 2.6068036618198676e-13 relative error 2.0716710156541493e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840042071527155 y[1] (closed_form) -1.2518782909491621 y[1] (numeric) -1.251878290949421 absolute error 2.589040093425865e-13 relative error 2.0681244432019662e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8501043698394324 y[1] (closed_form) -1.24519528304718 y[1] (numeric) -1.2451952830474364 absolute error 2.5646151868841116e-13 relative error 2.059608819436027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.86016666815171 y[1] (closed_form) -1.2383862003766588 y[1] (numeric) -1.2383862003769133 absolute error 2.544631172440859e-13 relative error 2.054796130372659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870035460727213 y[1] (closed_form) -1.2315862655963516 y[1] (numeric) -1.2315862655966034 absolute error 2.517985819849855e-13 relative error 2.044506251968156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8800977590394905 y[1] (closed_form) -1.224529505377024 y[1] (numeric) -1.2245295053772731 absolute error 2.4913404672588513e-13 relative error 2.0345287363996876e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890160057351768 y[1] (closed_form) -1.2173487627783364 y[1] (numeric) -1.2173487627785835 absolute error 2.4713564528155985e-13 relative error 2.030113742568941e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43810243375974084 Order of pole (three term test) 32.25903088880584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900028849927271 y[1] (closed_form) -1.2101863841132365 y[1] (numeric) -1.210186384113482 absolute error 2.453592884421596e-13 relative error 2.0274504131191867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9100911482395486 y[1] (closed_form) -1.2027622193861216 y[1] (numeric) -1.202762219386364 absolute error 2.424727085781342e-13 relative error 2.0159654557647308e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920153446551826 y[1] (closed_form) -1.195216276195435 y[1] (numeric) -1.1952162761956746 absolute error 2.395861287141088e-13 relative error 2.0045420522279852e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.930022239127329 y[1] (closed_form) -1.1876978964626903 y[1] (numeric) -1.1876978964629281 absolute error 2.3780977187470853e-13 relative error 2.002274926839352e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45590197104058455 Order of pole (three term test) 32.29469104415277 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400845374396067 y[1] (closed_form) -1.1799130055309128 y[1] (numeric) -1.1799130055311475 absolute error 2.347011474057581e-13 relative error 1.989139422191148e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9501468357518843 y[1] (closed_form) -1.1720086495954578 y[1] (numeric) -1.1720086495956898 absolute error 2.320366121466577e-13 relative error 1.9798199631611063e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9600156283273873 y[1] (closed_form) -1.164141031847978 y[1] (numeric) -1.1641410318482073 absolute error 2.2937207688755734e-13 relative error 1.970311763029674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.970077926639665 y[1] (closed_form) -1.1560024175008539 y[1] (numeric) -1.15600241750108 absolute error 2.2604140781368187e-13 relative error 1.9553714109210755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4708702827415346 Order of pole (three term test) 32.33184454419264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9801402249519424 y[1] (closed_form) -1.147746759073013 y[1] (numeric) -1.1477467590732355 absolute error 2.2248869413488137e-13 relative error 1.938482442891637e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9900090175274454 y[1] (closed_form) -1.1395369805158595 y[1] (numeric) -1.1395369805160798 absolute error 2.2026824808563106e-13 relative error 1.932962701973194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.000071315839723 y[1] (closed_form) -1.1310519637296357 y[1] (numeric) -1.131051963729853 absolute error 2.1738166822160565e-13 relative error 1.9219423615586253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0101336141520005 y[1] (closed_form) -1.1224524290710154 y[1] (numeric) -1.1224524290712299 absolute error 2.1449508835758024e-13 relative error 1.9109503690513156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0200024067275035 y[1] (closed_form) -1.1139078746952011 y[1] (numeric) -1.113907874695413 absolute error 2.1183055309847987e-13 relative error 1.901688262653167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4852888404415139 Order of pole (three term test) 32.37959231669085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.030064705039781 y[1] (closed_form) -1.1050840880475743 y[1] (numeric) -1.1050840880477832 absolute error 2.0894397323445446e-13 relative error 1.8907518033637575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0401270033520587 y[1] (closed_form) -1.0961484127488152 y[1] (numeric) -1.0961484127490209 absolute error 2.05613304160579e-13 relative error 1.875779791944065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0499957959275616 y[1] (closed_form) -1.0872767686882394 y[1] (numeric) -1.0872767686884417 absolute error 2.0228263508670352e-13 relative error 1.8604521030165142e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.060058094239839 y[1] (closed_form) -1.0781221494925781 y[1] (numeric) -1.078122149492777 absolute error 1.9895196601282805e-13 relative error 1.8453564478428116e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0701203925521168 y[1] (closed_form) -1.0688583715149131 y[1] (numeric) -1.0688583715151079 absolute error 1.9473311851925246e-13 relative error 1.821879527811094e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799891851276198 y[1] (closed_form) -1.059667618132408 y[1] (numeric) -1.0596676181326 absolute error 1.9184653865522705e-13 relative error 1.810440702088675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0900514834398973 y[1] (closed_form) -1.0501904012978531 y[1] (numeric) -1.050190401298041 absolute error 1.8784973576657649e-13 relative error 1.7887207456326663e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.100113781752175 y[1] (closed_form) -1.040606853742673 y[1] (numeric) -1.0406068537428568 absolute error 1.8385293287792592e-13 relative error 1.766785719473938e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.109982574327678 y[1] (closed_form) -1.0311052584513796 y[1] (numeric) -1.0311052584515603 absolute error 1.8074430840897548e-13 relative error 1.7529181131365382e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1200448726399554 y[1] (closed_form) -1.021313969075248 y[1] (numeric) -1.0213139690754254 absolute error 1.7741363933510002e-13 relative error 1.7371116493759483e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130107170952233 y[1] (closed_form) -1.011419272688176 y[1] (numeric) -1.0114192726883509 absolute error 1.7474910407599964e-13 relative error 1.7277612637491766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1401694692645106 y[1] (closed_form) -1.0014221711182096 y[1] (numeric) -1.0014221711183808 absolute error 1.7119639039719914e-13 relative error 1.7095326560029878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999976347020299 Order of pole (three term test) 32.49859129610895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1500382618400136 y[1] (closed_form) -0.991518828213863 y[1] (numeric) -0.9915188282140309 absolute error 1.6797674362578618e-13 relative error 1.694135692091516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.160100560152291 y[1] (closed_form) -0.9813218836300851 y[1] (numeric) -0.9813218836302493 absolute error 1.6420198534206065e-13 relative error 1.673273449631513e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1701628584645687 y[1] (closed_form) -0.9710255811937477 y[1] (numeric) -0.9710255811939081 absolute error 1.6042722705833512e-13 relative error 1.6521421285432155e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1800316510400717 y[1] (closed_form) -0.9608317805142528 y[1] (numeric) -0.96083178051441 absolute error 1.5720758028692217e-13 relative error 1.636161328914226e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1900939493523492 y[1] (closed_form) -0.9503417602520758 y[1] (numeric) -0.9503417602522297 absolute error 1.538769112130467e-13 relative error 1.6191744659545553e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200156247664627 y[1] (closed_form) -0.9397555188436352 y[1] (numeric) -0.9397555188437855 absolute error 1.503241975342462e-13 relative error 1.5996096273977665e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.21002504024013 y[1] (closed_form) -0.9292804300792438 y[1] (numeric) -0.9292804300793903 absolute error 1.4654943925052066e-13 relative error 1.5770206119376018e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2200873385524074 y[1] (closed_form) -0.9185067702890852 y[1] (numeric) -0.9185067702892278 absolute error 1.425526363618701e-13 relative error 1.55200419825979e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.230149636864685 y[1] (closed_form) -0.9076401126133401 y[1] (numeric) -0.9076401126134792 absolute error 1.3911094498553211e-13 relative error 1.5326663404616867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4921779490406001 Order of pole (three term test) 32.588109833773395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.240018429440188 y[1] (closed_form) -0.8968931584830507 y[1] (numeric) -0.8968931584831863 absolute error 1.3555823130673161e-13 relative error 1.5114200618500242e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2500807277524655 y[1] (closed_form) -0.8858455504592826 y[1] (numeric) -0.8858455504594142 absolute error 1.3156142841808105e-13 relative error 1.4851508634871018e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.260143026064743 y[1] (closed_form) -0.8747082514655469 y[1] (numeric) -0.8747082514656747 absolute error 1.2778667013435552e-13 relative error 1.4609061926677024e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270011818640246 y[1] (closed_form) -0.86369909924103 y[1] (numeric) -0.8636990992411542 absolute error 1.241229341530925e-13 relative error 1.4371085284465935e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2800741169525236 y[1] (closed_form) -0.8523874807043108 y[1] (numeric) -0.8523874807044305 absolute error 1.1968204205459188e-13 relative error 1.4040802424233282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.290136415264801 y[1] (closed_form) -0.8409895587934955 y[1] (numeric) -0.840989558793611 absolute error 1.155742168634788e-13 relative error 1.3742645869383259e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.300005207840304 y[1] (closed_form) -0.8297281116030356 y[1] (numeric) -0.8297281116031475 absolute error 1.1191048088221578e-13 relative error 1.3487608689791721e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3100675061525817 y[1] (closed_form) -0.8181626577609733 y[1] (numeric) -0.8181626577610809 absolute error 1.0758061108617767e-13 relative error 1.3149049283254798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3201298044648593 y[1] (closed_form) -0.8065143657736747 y[1] (numeric) -0.8065143657737783 absolute error 1.035838081975271e-13 relative error 1.2843392826383325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3299985970403623 y[1] (closed_form) -0.7950107536939497 y[1] (numeric) -0.7950107536940493 absolute error 9.958700530887654e-14 relative error 1.2526497892783716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.34006089535264 y[1] (closed_form) -0.7832018680881365 y[1] (numeric) -0.7832018680882323 absolute error 9.581224702515101e-14 relative error 1.223340379141804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3501231936649174 y[1] (closed_form) -0.7713136840818372 y[1] (numeric) -0.7713136840819292 absolute error 9.203748874142548e-14 relative error 1.1932562670787545e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599919862404204 y[1] (closed_form) -0.7595782550255507 y[1] (numeric) -0.7595782550256385 absolute error 8.781864124784988e-14 relative error 1.156150017023537e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.370054284552698 y[1] (closed_form) -0.7475365601732036 y[1] (numeric) -0.7475365601732873 absolute error 8.37108160567368e-14 relative error 1.1198223674483704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3801165828649755 y[1] (closed_form) -0.7354191779968831 y[1] (numeric) -0.7354191779969624 absolute error 7.938094626069869e-14 relative error 1.0793972830150363e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899853754404785 y[1] (closed_form) -0.7234624884044443 y[1] (numeric) -0.7234624884045193 absolute error 7.505107646466058e-14 relative error 1.0373872545925843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400047673752756 y[1] (closed_form) -0.7111988162430689 y[1] (numeric) -0.7111988162431392 absolute error 7.027711745877241e-14 relative error 9.881500904348181e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4101099720650336 y[1] (closed_form) -0.698863135917702 y[1] (numeric) -0.6988631359177679 absolute error 6.59472476627343e-14 relative error 9.436360894345446e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.420172270377311 y[1] (closed_form) -0.686456696403555 y[1] (numeric) -0.686456696403617 absolute error 6.195044477408373e-14 relative error 9.024669013886964e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.430041062952814 y[1] (closed_form) -0.6742213234050011 y[1] (numeric) -0.674221323405059 absolute error 5.795364188543317e-14 relative error 8.595640611416962e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4401033612650918 y[1] (closed_form) -0.6616784413185971 y[1] (numeric) -0.6616784413186504 absolute error 5.3290705182007514e-14 relative error 8.053867536595185e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4501656595773693 y[1] (closed_form) -0.6490685649562974 y[1] (numeric) -0.6490685649563463 absolute error 4.8960835385969403e-14 relative error 7.543245510474845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4600344521528723 y[1] (closed_form) -0.6366373442434154 y[1] (numeric) -0.63663734424346 absolute error 4.451994328746878e-14 relative error 6.9929833193144846e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4019763078239326 Order of pole (three term test) 32.79734126992172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47009675046515 y[1] (closed_form) -0.6238985431694182 y[1] (numeric) -0.6238985431694577 absolute error 3.952393967665557e-14 relative error 6.334994705368776e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4801590487774274 y[1] (closed_form) -0.6110965729961696 y[1] (numeric) -0.6110965729962047 absolute error 3.5083047578154947e-14 relative error 5.740998907283162e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4900278413529304 y[1] (closed_form) -0.5984806868989829 y[1] (numeric) -0.5984806868990137 absolute error 3.0753177782116836e-14 relative error 5.138541385765325e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.500090139665208 y[1] (closed_form) -0.5855574258470098 y[1] (numeric) -0.5855574258470361 absolute error 2.631228568361621e-14 relative error 4.4935448723164e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5101524379774856 y[1] (closed_form) -0.5725748776953064 y[1] (numeric) -0.5725748776953281 absolute error 2.1760371282653068e-14 relative error 3.8004411528220714e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200212305529885 y[1] (closed_form) -0.5597856746569913 y[1] (numeric) -0.5597856746570077 absolute error 1.6431300764452317e-14 relative error 2.935284254017504e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.530083528865266 y[1] (closed_form) -0.5466895785650432 y[1] (numeric) -0.5466895785650551 absolute error 1.1879386363489175e-14 relative error 2.172967407696031e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5401458271775437 y[1] (closed_form) -0.5335381307037634 y[1] (numeric) -0.5335381307037703 absolute error 6.8833827526759706e-15 relative error 1.2901388591657817e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500146197530467 y[1] (closed_form) -0.5205871150723169 y[1] (numeric) -0.5205871150723195 absolute error 2.55351295663786e-15 relative error 4.905063691949312e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5600769180653242 y[1] (closed_form) -0.5073299643497275 y[1] (numeric) -0.5073299643497257 absolute error 1.887379141862766e-15 relative error 3.720220121990868e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.570139216377602 y[1] (closed_form) -0.4940214469791119 y[1] (numeric) -0.49402144697910566 absolute error 6.217248937900877e-15 relative error 1.2584977789767401e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580008008953105 y[1] (closed_form) -0.4809202686587768 y[1] (numeric) -0.4809202686587662 absolute error 1.0602629885170245e-14 relative error 2.2046544045106648e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5900703072653823 y[1] (closed_form) -0.46751398858931115 y[1] (numeric) -0.4675139885892958 absolute error 1.532107773982716e-14 relative error 3.2771378212783277e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.60013260557766 y[1] (closed_form) -0.4540603731992718 y[1] (numeric) -0.4540603731992518 absolute error 1.9984014443252818e-14 relative error 4.401180024243716e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.610001398153163 y[1] (closed_form) -0.440820817171029 y[1] (numeric) -0.4408208171710045 absolute error 2.4480417692984702e-14 relative error 5.553371515004208e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6200636964654405 y[1] (closed_form) -0.42727746718566195 y[1] (numeric) -0.42727746718563275 absolute error 2.919886554764162e-14 relative error 6.833701233993234e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.630125994777718 y[1] (closed_form) -0.41369085578699644 y[1] (numeric) -0.4136908557869624 absolute error 3.402833570476105e-14 relative error 8.225546982426354e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.639994787353221 y[1] (closed_form) -0.4003248315075509 y[1] (numeric) -0.40032483150751214 absolute error 3.8746783559417963e-14 relative error 9.67883591270234e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6500570856654986 y[1] (closed_form) -0.38665659433657534 y[1] (numeric) -0.38665659433653166 absolute error 4.368727601899991e-14 relative error 1.129872777521316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.660119383977776 y[1] (closed_form) -0.37294920857477354 y[1] (numeric) -0.37294920857472497 absolute error 4.85722573273506e-14 relative error 1.3023826357741748e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.669988176553279 y[1] (closed_form) -0.35946873926356937 y[1] (numeric) -0.35946873926351625 absolute error 5.312417172831374e-14 relative error 1.4778523394592617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2458345356947599 Order of pole (three term test) 32.93538875752081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6800504748655567 y[1] (closed_form) -0.3456879099777922 y[1] (numeric) -0.3456879099777346 absolute error 5.762057497804562e-14 relative error 1.6668380152996183e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6901127731778343 y[1] (closed_form) -0.331872080139226 y[1] (numeric) -0.3318720801391633 absolute error 6.267208974009009e-14 relative error 1.8884411642521443e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999815657533373 y[1] (closed_form) -0.3182892919631286 y[1] (numeric) -0.31828929196306127 absolute error 6.733502644351574e-14 relative error 2.1155291159250182e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.710043864065615 y[1] (closed_form) -0.3044082669140127 y[1] (numeric) -0.3044082669139403 absolute error 7.238654120556021e-14 relative error 2.3779426866224858e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7201061623778924 y[1] (closed_form) -0.2904964208344004 y[1] (numeric) -0.2904964208343231 absolute error 7.732703366514215e-14 relative error 2.6618928192999318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.73016846069017 y[1] (closed_form) -0.2765551622846989 y[1] (numeric) -0.2765551622846164 absolute error 8.248957072964913e-14 relative error 2.9827528818547416e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.740037253265673 y[1] (closed_form) -0.2628547976684732 y[1] (numeric) -0.26285479766838615 absolute error 8.704148513061227e-14 relative error 3.311390391298611e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7500995515779505 y[1] (closed_form) -0.24885944955359474 y[1] (numeric) -0.24885944955350275 absolute error 9.198197759019422e-14 relative error 3.6961416476325064e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.760161849890228 y[1] (closed_form) -0.2348389046700422 y[1] (numeric) -0.2348389046699452 absolute error 9.700573677662305e-14 relative error 4.1307353614563944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.770030642465731 y[1] (closed_form) -0.22106488108090683 y[1] (numeric) -0.221064881080805 absolute error 1.0183520693374248e-13 relative error 4.6065755191785594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7800929407780086 y[1] (closed_form) -0.20699862024962523 y[1] (numeric) -0.20699862024951843 absolute error 1.0680345496894006e-13 relative error 5.159621587822319e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.790155239090286 y[1] (closed_form) -0.19291140101648385 y[1] (numeric) -0.19291140101637227 absolute error 1.1157741397482823e-13 relative error 5.7838683139984137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800024031665789 y[1] (closed_form) -0.17907610868393264 y[1] (numeric) -0.1790761086838163 absolute error 1.163513729807164e-13 relative error 6.497314121677464e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100863299780667 y[1] (closed_form) -0.16495158824364897 y[1] (numeric) -0.16495158824352774 absolute error 1.212363542890671e-13 relative error 7.349814304909246e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8201486282903443 y[1] (closed_form) -0.1508103666211562 y[1] (numeric) -0.15081036662103015 absolute error 1.2606582444618653e-13 relative error 8.359228033897079e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300174208658473 y[1] (closed_form) -0.13692625088812083 y[1] (numeric) -0.1369262508879899 absolute error 1.3092305017892159e-13 relative error 9.561574156141593e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.840079719178125 y[1] (closed_form) -0.12275617635284941 y[1] (numeric) -0.12275617635271356 absolute error 1.3584966485069572e-13 relative error 1.1066625638469748e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8501420174904024 y[1] (closed_form) -0.10857367287833353 y[1] (numeric) -0.1085736728781928 absolute error 1.407207683712386e-13 relative error 1.2960855485558526e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600108100659054 y[1] (closed_form) -0.09465322300614964 y[1] (numeric) -0.09465322300600412 absolute error 1.455224829527424e-13 relative error 1.537427657833561e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870073108378183 y[1] (closed_form) -0.08045034086745129 y[1] (numeric) -0.08045034086730071 absolute error 1.5057399771478686e-13 relative error 1.8716390271468234e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.056794859058651954 Order of pole (three term test) 32.99678387056008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8801354066904605 y[1] (closed_form) -0.0662393132127509 y[1] (numeric) -0.06623931321259521 absolute error 1.5568102362806258e-13 relative error 2.3502813673209157e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8900041992659635 y[1] (closed_form) -0.05229505114661914 y[1] (numeric) -0.05229505114645865 absolute error 1.6048967710347029e-13 relative error 3.0689266686728516e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.900066497578241 y[1] (closed_form) -0.038072137407673456 y[1] (numeric) -0.038072137407508005 absolute error 1.6545098624476395e-13 relative error 4.3457236055104497e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9101287958905186 y[1] (closed_form) -0.023845368903152586 y[1] (numeric) -0.02384536890298218 absolute error 1.7040535649215371e-13 relative error 7.146266312098216e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199975884660216 y[1] (closed_form) -0.009889838008198204 y[1] (numeric) -0.00988983800802296 absolute error 1.7524350026665303e-13 relative error 1.7719552142450112e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930059886778299 y[1] (closed_form) 0.004340313308670352 y[1] (numeric) 0.004340313308850527 absolute error 1.801753191088551e-13 relative error 4.151205369182243e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9401221850905768 y[1] (closed_form) 0.018570025173186844 y[1] (numeric) 0.018570025173372053 absolute error 1.8520948663613979e-13 relative error 9.973572190066965e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499909776660798 y[1] (closed_form) 0.03252427139512193 y[1] (numeric) 0.03252427139531205 absolute error 1.9011875407315415e-13 relative error 5.845442370206904e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9600532759783573 y[1] (closed_form) 0.04674885975712739 y[1] (numeric) 0.04674885975732237 absolute error 1.949759798058892e-13 relative error 4.170710918273529e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03303834808259587 Order of pole (three term test) 32.99892075270234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.970115574290635 y[1] (closed_form) 0.06096871484415689 y[1] (numeric) 0.06096871484435678 absolute error 1.9988871668985553e-13 relative error 3.278545680367288e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979984366866138 y[1] (closed_form) 0.07490912404684047 y[1] (numeric) 0.0749091240470452 absolute error 2.0472512574087887e-13 relative error 2.7329798385155965e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9900466651784154 y[1] (closed_form) 0.08911535392527448 y[1] (numeric) 0.08911535392548428 absolute error 2.0980439607853896e-13 relative error 2.354301327854966e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0001089634906934 y[1] (closed_form) 0.10331256096386043 y[1] (numeric) 0.10331256096407453 absolute error 2.1409263251115362e-13 relative error 2.0722807615430707e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010171261802971 y[1] (closed_form) 0.11749930770968042 y[1] (numeric) 0.1174993077098995 absolute error 2.1907475833415901e-13 relative error 1.8644770135620984e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.020040054378474 y[1] (closed_form) 0.1314016856282273 y[1] (numeric) 0.13140168562845123 absolute error 2.2393198406689407e-13 relative error 1.7041789304017095e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030102352690752 y[1] (closed_form) 0.14556347372014533 y[1] (numeric) 0.1455634737203742 absolute error 2.28872476526476e-13 relative error 1.5723207936525158e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.040164651003029 y[1] (closed_form) 0.15971052365692684 y[1] (numeric) 0.15971052365716062 absolute error 2.3378521341044234e-13 relative error 1.4638059412580405e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.050033443578532 y[1] (closed_form) 0.1735698167901194 y[1] (numeric) 0.17356981679035813 absolute error 2.387257058700243e-13 relative error 1.375387208933287e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.06009574189081 y[1] (closed_form) 0.18768344689776328 y[1] (numeric) 0.18768344689800684 absolute error 2.435551760271437e-13 relative error 1.2976912991150223e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13153845270107256 Order of pole (three term test) 32.98239945611589 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.070158040203087 y[1] (closed_form) 0.20177807424539962 y[1] (numeric) 0.20177807424564806 absolute error 2.484401573354944e-13 relative error 1.231254477299377e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.08002683277859 y[1] (closed_form) 0.21558181566072332 y[1] (numeric) 0.2155818156609766 absolute error 2.5326962749261384e-13 relative error 1.1748190667955156e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.090089131090868 y[1] (closed_form) 0.2296345920663243 y[1] (numeric) 0.22963459206658257 absolute error 2.5826563110342704e-13 relative error 1.1246808626673866e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100151429403145 y[1] (closed_form) 0.24366411820071276 y[1] (numeric) 0.24366411820097608 absolute error 2.633171458654715e-13 relative error 1.0806562238621034e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110020221978648 y[1] (closed_form) 0.25739989093642046 y[1] (numeric) 0.2573998909366885 absolute error 2.6806334929574405e-13 relative error 1.0414275947069361e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120082520290926 y[1] (closed_form) 0.27137917266230327 y[1] (numeric) 0.27137917266257633 absolute error 2.7305935290655725e-13 relative error 1.0061912645239905e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1301448186032035 y[1] (closed_form) 0.28533097752022374 y[1] (numeric) 0.2853309775205013 absolute error 2.7755575615628914e-13 relative error 9.727501674318432e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1400136111787065 y[1] (closed_form) 0.29898642575483947 y[1] (numeric) 0.2989864257551216 absolute error 2.821076705572523e-13 relative error 9.435467508099271e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150075909490984 y[1] (closed_form) 0.31287963793443574 y[1] (numeric) 0.31287963793472295 absolute error 2.87214696470528e-13 relative error 9.179718385212212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160138207803262 y[1] (closed_form) 0.3267411713657503 y[1] (numeric) 0.3267411713660423 absolute error 2.9198865547641617e-13 relative error 8.93639005626161e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170007000378765 y[1] (closed_form) 0.3403040115325755 y[1] (numeric) 0.3403040115328724 absolute error 2.9687363678476686e-13 relative error 8.723777173468574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180069298691042 y[1] (closed_form) 0.3540986567219685 y[1] (numeric) 0.3540986567222703 absolute error 3.018141292443488e-13 relative error 8.52344744931714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.19013159700332 y[1] (closed_form) 0.36785744977893386 y[1] (numeric) 0.36785744977924045 absolute error 3.06588088250237e-13 relative error 8.334426513163806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200000389578823 y[1] (closed_form) 0.3813154816155565 y[1] (numeric) 0.38131548161586787 absolute error 3.1136204725612515e-13 relative error 8.165470909729319e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2100626878911 y[1] (closed_form) 0.39499915103538163 y[1] (numeric) 0.39499915103569766 absolute error 3.160249839595508e-13 relative error 8.000649700921591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220124986203378 y[1] (closed_form) 0.40864282718891515 y[1] (numeric) 0.408642827189236 absolute error 3.2085445411667024e-13 relative error 7.85170894406375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229993778778881 y[1] (closed_form) 0.42198394471178496 y[1] (numeric) 0.4219839447121105 absolute error 3.255173908200959e-13 relative error 7.713975730579615e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240056077091158 y[1] (closed_form) 0.4355443294093725 y[1] (numeric) 0.4355443294097029 absolute error 3.304023721284466e-13 relative error 7.585964270881325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250118375403436 y[1] (closed_form) 0.44906061568218575 y[1] (numeric) 0.44906061568252076 absolute error 3.35009797680641e-13 relative error 7.460235566900347e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259987167978939 y[1] (closed_form) 0.46227281807638154 y[1] (numeric) 0.4622728180767212 absolute error 3.3967273438406664e-13 relative error 7.347884649534864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2700494662912165 y[1] (closed_form) 0.47569771999810245 y[1] (numeric) 0.47569771999844684 absolute error 3.4439118223872356e-13 relative error 7.239706388336217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31676924189394395 Order of pole (three term test) 32.88686021137683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.280111764603494 y[1] (closed_form) 0.48907445800468513 y[1] (numeric) 0.4890744580050343 absolute error 3.4916514124461173e-13 relative error 7.139304364188793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.290174062915772 y[1] (closed_form) 0.5024016777148762 y[1] (numeric) 0.5024016777152304 absolute error 3.5416114485542494e-13 relative error 7.049362304407332e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.300042855491275 y[1] (closed_form) 0.5154232033829333 y[1] (numeric) 0.5154232033832922 absolute error 3.588240815588506e-13 relative error 6.961737058086274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310105153803552 y[1] (closed_form) 0.5286483602664582 y[1] (numeric) 0.5286483602668216 absolute error 3.6337599595981374e-13 relative error 6.873680564840093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.32016745211583 y[1] (closed_form) 0.5418199920358373 y[1] (numeric) 0.5418199920362048 absolute error 3.674838211509268e-13 relative error 6.7823968578594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330036244691333 y[1] (closed_form) 0.5546850450631429 y[1] (numeric) 0.5546850450635147 absolute error 3.7181369094696493e-13 relative error 6.70314972895365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.34009854300361 y[1] (closed_form) 0.5677467243194537 y[1] (numeric) 0.5677467243198299 absolute error 3.7614356074300304e-13 relative error 6.625200016677833e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350160841315888 y[1] (closed_form) 0.580750919791629 y[1] (numeric) 0.5807509197920099 absolute error 3.809175197488912e-13 relative error 6.559051510164854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360029633891391 y[1] (closed_form) 0.5934479276003937 y[1] (numeric) 0.593447927600779 absolute error 3.8535841184739184e-13 relative error 6.49355055304664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3808972871347215 Order of pole (three term test) 32.82392495372457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370091932203668 y[1] (closed_form) 0.6063343797793379 y[1] (numeric) 0.6063343797797277 absolute error 3.8979930394589246e-13 relative error 6.428784461929264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.380154230515946 y[1] (closed_form) 0.6191594412128877 y[1] (numeric) 0.6191594412132819 absolute error 3.942401960443931e-13 relative error 6.367345304015806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390023023091449 y[1] (closed_form) 0.6316769823880386 y[1] (numeric) 0.6316769823884374 absolute error 3.9879211044535623e-13 relative error 6.31322846271417e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4000853214037265 y[1] (closed_form) 0.6443766156625204 y[1] (numeric) 0.6443766156629237 absolute error 4.0334402484631937e-13 relative error 6.259445408825371e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.410147619716004 y[1] (closed_form) 0.6570110064535317 y[1] (numeric) 0.6570110064539397 absolute error 4.0800696154974503e-13 relative error 6.210047587362633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.420016412291507 y[1] (closed_form) 0.669337821016686 y[1] (numeric) 0.6693378210170984 absolute error 4.1233683134578314e-13 relative error 6.160369523411466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.430078710603785 y[1] (closed_form) 0.6818392116099318 y[1] (numeric) 0.6818392116103483 absolute error 4.1655567883935873e-13 relative error 6.10929485641936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440141008916062 y[1] (closed_form) 0.6942715666695909 y[1] (numeric) 0.6942715666700119 absolute error 4.2099657093785936e-13 relative error 6.063860183089059e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450009801491565 y[1] (closed_form) 0.7063965662078112 y[1] (numeric) 0.7063965662082363 absolute error 4.2510439612897244e-13 relative error 6.017928405443482e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460072099803843 y[1] (closed_form) 0.7186884686694669 y[1] (numeric) 0.7186884686698963 absolute error 4.2943426592501055e-13 relative error 5.975249146824872e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.47013439811612 y[1] (closed_form) 0.7309076046473649 y[1] (numeric) 0.7309076046477982 absolute error 4.333200465111986e-13 relative error 5.928520154339604e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480003190691623 y[1] (closed_form) 0.7428198822875854 y[1] (numeric) 0.7428198822880226 absolute error 4.3720582709738665e-13 relative error 5.885758277645573e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490065489003901 y[1] (closed_form) 0.7548912396094047 y[1] (numeric) 0.7548912396098456 absolute error 4.4086956307864966e-13 relative error 5.840173258690405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5001277873161785 y[1] (closed_form) 0.7668861649533634 y[1] (numeric) 0.7668861649538085 absolute error 4.4508841057222526e-13 relative error 5.8038393559921947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5099965798916815 y[1] (closed_form) 0.7785750051735146 y[1] (numeric) 0.7785750051739638 absolute error 4.4919623576333834e-13 relative error 5.76946643263008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.520058878203959 y[1] (closed_form) 0.790414958735534 y[1] (numeric) 0.7904149587359873 absolute error 4.533040609544514e-13 relative error 5.735013690525599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530121176516237 y[1] (closed_form) 0.8021748835789025 y[1] (numeric) 0.8021748835793598 absolute error 4.57300863843102e-13 relative error 5.700762679116237e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.53998996909174 y[1] (closed_form) 0.8136297718469082 y[1] (numeric) 0.8136297718473694 absolute error 4.6118664442929e-13 relative error 5.6682616638082714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550052267404017 y[1] (closed_form) 0.8252276711851672 y[1] (numeric) 0.8252276711856319 absolute error 4.647393581080905e-13 relative error 5.631650201945432e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560114565716295 y[1] (closed_form) 0.8367420170526949 y[1] (numeric) 0.8367420170531636 absolute error 4.687361609967411e-13 relative error 5.6019197248848304e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569983358291798 y[1] (closed_form) 0.8479526492846724 y[1] (numeric) 0.847952649285145 absolute error 4.726219415829291e-13 relative error 5.573683176550366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580045656604075 y[1] (closed_form) 0.8592980616716879 y[1] (numeric) 0.8592980616721646 absolute error 4.767297667740422e-13 relative error 5.5478976159518727e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590107954916353 y[1] (closed_form) 0.8705564709952432 y[1] (numeric) 0.8705564709957239 absolute error 4.806155473602303e-13 relative error 5.520785421430247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.60017025322863 y[1] (closed_form) 0.8817267373527313 y[1] (numeric) 0.8817267373532159 absolute error 4.846123502488808e-13 relative error 5.496173924631862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610039045804133 y[1] (closed_form) 0.8925954826537775 y[1] (numeric) 0.8925954826542661 absolute error 4.886091531375314e-13 relative error 5.474026730281521e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620101344116411 y[1] (closed_form) 0.903587828089353 y[1] (numeric) 0.9035878280898457 absolute error 4.927169783286445e-13 relative error 5.452895258344728e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6301636424286885 y[1] (closed_form) 0.9144886861672169 y[1] (numeric) 0.9144886861677136 absolute error 4.96713781217295e-13 relative error 5.431601163914995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6400324350041915 y[1] (closed_form) 0.9250899819039804 y[1] (numeric) 0.9250899819044809 absolute error 5.004885395010206e-13 relative error 5.410160625358158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650094733316469 y[1] (closed_form) 0.9358063754416028 y[1] (numeric) 0.9358063754421068 absolute error 5.039302308773586e-13 relative error 5.384983946487393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660157031628747 y[1] (closed_form) 0.9464280195260371 y[1] (numeric) 0.9464280195265447 absolute error 5.075939668586216e-13 relative error 5.363260135861365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.67002582420425 y[1] (closed_form) 0.9567523294518098 y[1] (numeric) 0.9567523294523212 absolute error 5.114797474448096e-13 relative error 5.3459994995556695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680088122516527 y[1] (closed_form) 0.9671831313101603 y[1] (numeric) 0.9671831313106753 absolute error 5.150324611236101e-13 relative error 5.325076962683785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690150420828805 y[1] (closed_form) 0.9775160068503863 y[1] (numeric) 0.9775160068509051 absolute error 5.188072194073357e-13 relative error 5.3074038253241786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700019213404308 y[1] (closed_form) 0.9875540438771566 y[1] (numeric) 0.987554043877679 absolute error 5.223599330861362e-13 relative error 5.2894313615013994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710081511716585 y[1] (closed_form) 0.9976898711749012 y[1] (numeric) 0.9976898711754273 absolute error 5.261346913698617e-13 relative error 5.273529446082019e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720143810028863 y[1] (closed_form) 1.0077246833778293 y[1] (numeric) 1.0077246833783593 absolute error 5.300204719560497e-13 relative error 5.259576159030408e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.730012602604366 y[1] (closed_form) 1.0174674179303518 y[1] (numeric) 1.0174674179308858 absolute error 5.340172748447003e-13 relative error 5.248495091183894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740074900916643 y[1] (closed_form) 1.02729915312638 y[1] (numeric) 1.0272991531269184 absolute error 5.384581669432009e-13 relative error 5.2414933401289285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750137199228921 y[1] (closed_form) 1.0370268753176097 y[1] (numeric) 1.0370268753181513 absolute error 5.415667914121514e-13 relative error 5.2223023752039786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.760005991804424 y[1] (closed_form) 1.046465543455833 y[1] (numeric) 1.0464655434563779 absolute error 5.448974604860268e-13 relative error 5.2070272537265314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7700682901167015 y[1] (closed_form) 1.0559843425508144 y[1] (numeric) 1.0559843425513624 absolute error 5.480060849549773e-13 relative error 5.1895285078870096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.780130588428979 y[1] (closed_form) 1.065396224294453 y[1] (numeric) 1.0653962242950052 absolute error 5.522249324485529e-13 relative error 5.183282236749598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999381004482 y[1] (closed_form) 1.0745223355969984 y[1] (numeric) 1.0745223355975544 absolute error 5.559996907322784e-13 relative error 5.1743893292210455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.80006167931676 y[1] (closed_form) 1.0837196360888777 y[1] (numeric) 1.0837196360894366 absolute error 5.588862705963038e-13 relative error 5.1571112304775903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810123977629037 y[1] (closed_form) 1.092807211058872 y[1] (numeric) 1.0928072110594342 absolute error 5.622169396701793e-13 relative error 5.144703786548233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.81999277020454 y[1] (closed_form) 1.1016125562604735 y[1] (numeric) 1.1016125562610393 absolute error 5.657696533489798e-13 relative error 5.135831560140687e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4884664536093482 Order of pole (three term test) 32.39324010442467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.830055068516818 y[1] (closed_form) 1.110480084846749 y[1] (numeric) 1.1104800848473186 absolute error 5.695444116327053e-13 relative error 5.128812478535397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840117366829095 y[1] (closed_form) 1.1192351784426497 y[1] (numeric) 1.1192351784432226 absolute error 5.728750807065808e-13 relative error 5.1184513473182904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849986159404598 y[1] (closed_form) 1.1277118368186827 y[1] (numeric) 1.1277118368192587 absolute error 5.759837051755312e-13 relative error 5.107543313550763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.860048457716876 y[1] (closed_form) 1.1362416168385396 y[1] (numeric) 1.1362416168391192 absolute error 5.795364188543317e-13 relative error 5.100468159816435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870110756029153 y[1] (closed_form) 1.144656353538848 y[1] (numeric) 1.144656353539431 absolute error 5.828670879282072e-13 relative error 5.0920705251510705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880173054341431 y[1] (closed_form) 1.1529551949359913 y[1] (numeric) 1.1529551949365762 absolute error 5.848654893725325e-13 relative error 5.0727512390887185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890041846916934 y[1] (closed_form) 1.1609810586399099 y[1] (numeric) 1.1609810586404972 absolute error 5.873079800267078e-13 relative error 5.0587214636795156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900104145229212 y[1] (closed_form) 1.1690478690863944 y[1] (numeric) 1.1690478690869843 absolute error 5.899725152858082e-13 relative error 5.046606994347195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46517530948297187 Order of pole (three term test) 32.31667957446176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910166443541489 y[1] (closed_form) 1.1769963146133253 y[1] (numeric) 1.176996314613919 absolute error 5.937472735695337e-13 relative error 5.044597559038199e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920035236116992 y[1] (closed_form) 1.1846761562333985 y[1] (numeric) 1.1846761562339951 absolute error 5.966338534335591e-13 relative error 5.036261178164656e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.93009753442927 y[1] (closed_form) 1.1923877840400021 y[1] (numeric) 1.1923877840406014 absolute error 5.992983886926595e-13 relative error 5.026035965096354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940159832741547 y[1] (closed_form) 1.1999786837841657 y[1] (numeric) 1.1999786837847677 absolute error 6.019629239517599e-13 relative error 5.0164468093170896e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.95002862531705 y[1] (closed_form) 1.2073055950267106 y[1] (numeric) 1.207305595027316 absolute error 6.052935930256353e-13 relative error 5.013590556682906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.960090923629328 y[1] (closed_form) 1.2146551033069326 y[1] (numeric) 1.2146551033075415 absolute error 6.088463067044358e-13 relative error 5.0125035909109895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970153221941605 y[1] (closed_form) 1.2218816289810615 y[1] (numeric) 1.2218816289816727 absolute error 6.112887973586112e-13 relative error 5.002847926180629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980022014517108 y[1] (closed_form) 1.2288490190259602 y[1] (numeric) 1.2288490190265737 absolute error 6.135092434078615e-13 relative error 4.992551842488802e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990084312829386 y[1] (closed_form) 1.235829796632835 y[1] (numeric) 1.2358297966334515 absolute error 6.163958232718869e-13 relative error 4.9877080561686604e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ; Iterations 22482 Total Elapsed Time 5 Seconds Elapsed Time(since restart) 5 Seconds Time to Timeout 2 Minutes 55.0 Seconds Percent Done 100.00694116078445%