(%i1) batch("diffeq.max") read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load("stringproc") (%o2) /usr/share/maxima/5.31.3/share/stringproc/stringproc.mac (%i3) alias(convfloat,float) (%o3) [convfloat] (%i4) alias(int_trunc,truncate) (%o4) [truncate] (%i5) alias(elapsed_time_seconds,elapsed_real_time) (%o5) [elapsed_time_seconds] (%i6) alias(ln,log) (%o6) [log] (%i7) alias(arcsin,asin) (%o7) [asin] (%i8) alias(arccos,acos) (%o8) [acos] (%i9) alias(arctan,atan) (%o9) [atan] (%i10) alias(float_abs,abs) (%o10) [mabs] (%i11) keepfloat:true (%o11) true (%i12) mode_declare(display_poles(),fixnum) (%o12) [display_poles()] (%i13) mode_declare(est_size_answer(),convfloat) (%o13) [est_size_answer()] (%i14) mode_declare(test_suggested_h(),convfloat) (%o14) [test_suggested_h()] (%i15) mode_declare(reached_interval(),boolean) (%o15) [reached_interval()] (%i16) mode_declare(display_alot([iter],fixnum),fixnum) (%o16) [display_alot([iter], fixnum)] (%i17) mode_declare(adjust_for_pole([h_param],convfloat),convfloat) (%o17) [adjust_for_pole([h_param], convfloat)] (%i18) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum) (%o18) [prog_report([x_start], convfloat, [x_end], convfloat)] (%i19) mode_declare(check_for_pole(),fixnum) (%o19) [check_for_pole()] (%i20) mode_declare(atomall(),fixnum) (%o20) [atomall()] (%i21) mode_declare(log10([x],convfloat),convfloat) (%o21) [log10([x], convfloat)] (%i22) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum) (%o22) [logitem_timestr([fd], fixnum, [secs_in], number)] (%i23) mode_declare(omniout_timestr(secs_in,number),fixnum) (%o23) [omniout_timestr(secs_in, number)] (%i24) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum) (%o24) [zero_ats_ar(ar, array([MAX_TERMS], convfloat))] (%i25) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([MAX_TERMS],convfloat),[arr_b], completearray([MAX_TERMS],convfloat),[jjj_ats], fixnum),convfloat) (%o25) [ats([mmm_ats], fixnum, [arr_a], completearray([MAX_TERMS], convfloat), [arr_b], completearray([MAX_TERMS], convfloat), [jjj_ats], fixnum)] (%i26) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([MAX_TERMS],convfloat),[arr_b], completearray([MAX_TERMS],convfloat),[jjj_att], fixnum),convfloat) (%o26) [att([mmm_att], fixnum, [arr_a], completearray([MAX_TERMS], convfloat), [arr_b], completearray([MAX_TERMS], convfloat), [jjj_att], fixnum)] (%i27) mode_declare(logitem_ditto([file],fixnum),fixnum) (%o27) [logitem_ditto([file], fixnum)] (%i28) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum) (%o28) [logitem_integer([file], fixnum, [n], fixnum)] (%i29) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum) (%o29) [logitem_good_digits([file], fixnum, [relerror], convfloat)] (%i30) mode_declare(logitem_number([file],fixnum,[x],number),fixnum) (%o30) [logitem_number([file], fixnum, [x], number)] (%i31) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum) (%o31) [logitem_pole([file], fixnum, [pole], fixnum)] (%i32) mode_declare(logstart([file],fixnum),fixnum) (%o32) [logstart([file], fixnum)] (%i33) mode_declare(logend([file],fixnum),fixnum) (%o33) [logend([file], fixnum)] (%i34) mode_declare(chk_data(),fixnum) (%o34) [chk_data()] (%i35) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat, [t2],convfloat,[clock_sec2],convfloat), convfloat) (%o35) [comp_expect_sec([t_end2], convfloat, [t_start2], convfloat, [t2], convfloat, [clock_sec2], convfloat)] (%i36) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2], convfloat),convfloat) (%o36) [comp_percent([t_end2], convfloat, [start2], convfloat, [t2], convfloat)] (%i37) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%o37) [comp_rad_from_ratio([term1], convfloat, [term2], convfloat, [last_no], fixnum)] (%i38) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%o38) [comp_ord_from_ratio([term1], convfloat, [term2], convfloat, [last_no], fixnum)] (%i39) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%o39) [comp_rad_from_three_terms([term1], convfloat, [term2], convfloat, [term3], convfloat, [last_no], fixnum)] (%i40) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%o40) [comp_ord_from_three_terms([term1], convfloat, [term2], convfloat, [term3], convfloat, [last_no], fixnum)] (%i41) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%o41) [comp_rad_from_six_terms([term1], convfloat, [term2], convfloat, [term3], convfloat, [term4], convfloat, [term5], convfloat, [term6], convfloat, [last_no], fixnum)] (%i42) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%o42) [comp_ord_from_six_terms([term1], convfloat, [term2], convfloat, [term3], convfloat, [term4], convfloat, [term5], convfloat, [term6], convfloat, [last_no], fixnum)] (%i43) mode_declare(factorial_2([nnn],fixnum),fixnum) (%o43) [factorial_2([nnn], fixnum)] (%i44) mode_declare(factorial_1([nnn],fixnum),fixnum) (%o44) [factorial_1([nnn], fixnum)] (%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum) (%o45) [factorial_3([mmm], fixnum, [nnn], fixnum)] (%i46) mode_declare(convfloat([mmm],fixnum),convfloat) (%o46) [convfloat([mmm], fixnum)] (%i47) mode_declare(elaped_time_seconds(),convfloat) (%o47) [elaped_time_seconds()] (%i48) mode_declare(Si([x],convfloat),convfloat) (%o48) [Si([x], convfloat)] (%i49) mode_declare(Ci([x],convfloat),convfloat) (%o49) [Ci([x], convfloat)] (%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end], convfloat,[estimated_h], convfloat,[estimated_answer], convfloat),convfloat) (%o50) [estimated_needed_step_error([x_start], convfloat, [x_end], convfloat, [estimated_h], convfloat, [estimated_answer], convfloat)] (%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat) (%o51) [my_check_sign([x0], convfloat, [xf], convfloat)] (%i52) mode_declare(main_prog(),fixnum) (%o52) [main_prog()] (%i53) define_variable(MAX_TERMS,30,fixnum) (%o53) 30 (%i54) define_variable(glob_iolevel,5,fixnum) (%o54) 5 (%i55) define_variable(glob_yes_pole,4,fixnum) (%o55) 4 (%i56) define_variable(glob_no_pole,3,fixnum) (%o56) 3 (%i57) define_variable(glob_not_given,0,fixnum) (%o57) 0 (%i58) define_variable(glob_no_sing_tests,4,fixnum) (%o58) 4 (%i59) define_variable(glob_ratio_test,1,fixnum) (%o59) 1 (%i60) define_variable(glob_three_term_test,2,fixnum) (%o60) 2 (%i61) define_variable(glob_six_term_test,3,fixnum) (%o61) 3 (%i62) define_variable(glob_log_10,log(10.0),convfloat) (%o62) 2.302585092994046 (%i63) define_variable(ALWAYS,1,fixnum) (%o63) 1 (%i64) define_variable(INFO,2,fixnum) (%o64) 2 (%i65) define_variable(DEBUGL,3,fixnum) (%o65) 3 (%i66) define_variable(DEBUGMASSIVE,4,fixnum) (%o66) 4 (%i67) define_variable(MAX_UNCHANGED,10,fixnum) (%o67) 10 (%i68) define_variable(glob_check_sign,1.0,convfloat) (%o68) 1.0 (%i69) define_variable(glob_desired_digits_correct,8.0,convfloat) (%o69) 8.0 (%i70) define_variable(glob_max_estimated_step_error,0.0,convfloat) (%o70) 0.0 (%i71) define_variable(glob_ratio_of_radius,0.1,convfloat) (%o71) 0.1 (%i72) define_variable(glob_percent_done,0.0,convfloat) (%o72) 0.0 (%i73) define_variable(glob_subiter_method,3,fixnum) (%o73) 3 (%i74) define_variable(glob_total_exp_sec,0.1,convfloat) (%o74) 0.1 (%i75) define_variable(glob_optimal_expect_sec,0.1,convfloat) (%o75) 0.1 (%i76) define_variable(glob_estimated_size_answer,100.0,convfloat) (%o76) 100.0 (%i77) define_variable(glob_html_log,true,boolean) (%o77) true (%i78) define_variable(glob_good_digits,0,fixnum) (%o78) 0 (%i79) define_variable(glob_max_opt_iter,10,fixnum) (%o79) 10 (%i80) define_variable(glob_dump,false,boolean) (%o80) false (%i81) define_variable(glob_djd_debug,true,boolean) (%o81) true (%i82) define_variable(glob_display_flag,true,boolean) (%o82) true (%i83) define_variable(glob_djd_debug2,true,boolean) (%o83) true (%i84) define_variable(glob_sec_in_minute,60,fixnum) (%o84) 60 (%i85) define_variable(glob_min_in_hour,60.0,convfloat) (%o85) 60.0 (%i86) define_variable(glob_hours_in_day,24.0,convfloat) (%o86) 24.0 (%i87) define_variable(glob_days_in_year,365,fixnum) (%o87) 365 (%i88) define_variable(glob_sec_in_hour,3600,fixnum) (%o88) 3600 (%i89) define_variable(glob_sec_in_day,86400,fixnum) (%o89) 86400 (%i90) define_variable(glob_sec_in_year,31536000,fixnum) (%o90) 31536000 (%i91) define_variable(glob_almost_1,0.999,convfloat) (%o91) 0.999 (%i92) define_variable(glob_clock_sec,0.0,convfloat) (%o92) 0.0 (%i93) define_variable(glob_clock_start_sec,0.0,convfloat) (%o93) 0.0 (%i94) define_variable(glob_not_yet_finished,true,boolean) (%o94) true (%i95) define_variable(glob_initial_pass,true,boolean) (%o95) true (%i96) define_variable(glob_not_yet_start_msg,true,boolean) (%o96) true (%i97) define_variable(glob_reached_optimal_h,false,boolean) (%o97) false (%i98) define_variable(glob_optimal_done,false,boolean) (%o98) false (%i99) define_variable(glob_disp_incr,0.1,convfloat) (%o99) 0.1 (%i100) define_variable(glob_h,0.1,convfloat) (%o100) 0.1 (%i101) define_variable(glob_diff_rc_fm,0.1,convfloat) (%o101) 0.1 (%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat) (%o102) 0.1 (%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat) (%o103) 0.1 (%i104) define_variable(glob_diff_ord_fm,0.1,convfloat) (%o104) 0.1 (%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat) (%o105) 0.1 (%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat) (%o106) 0.1 (%i107) define_variable(glob_six_term_ord_save,0.1,convfloat) (%o107) 0.1 (%i108) define_variable(glob_guess_error_rc,0.1,convfloat) (%o108) 0.1 (%i109) define_variable(glob_guess_error_ord,0.1,convfloat) (%o109) 0.1 (%i110) define_variable(glob_max_h,0.1,convfloat) (%o110) 0.1 (%i111) define_variable(glob_min_h,1.0E-6,convfloat) (%o111) 1.0E-6 (%i112) define_variable(glob_type_given_pole,0,fixnum) (%o112) 0 (%i113) define_variable(glob_large_float,1.0E+100,convfloat) (%o113) 1.0E+100 (%i114) define_variable(glob_larger_float,1.1E+100,convfloat) (%o114) 1.1E+100 (%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat) (%o115) 9.9E+100 (%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat) (%o116) 9.9E+100 (%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat) (%o117) 9.9E+100 (%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat) (%o118) 9.9E+100 (%i119) define_variable(glob_last_good_h,0.1,convfloat) (%o119) 0.1 (%i120) define_variable(glob_look_poles,false,boolean) (%o120) false (%i121) define_variable(glob_neg_h,false,boolean) (%o121) false (%i122) define_variable(glob_display_interval,0.0,convfloat) (%o122) 0.0 (%i123) define_variable(glob_next_display,0.0,convfloat) (%o123) 0.0 (%i124) define_variable(glob_dump_analytic,false,boolean) (%o124) false (%i125) define_variable(glob_abserr,1.0E-11,convfloat) (%o125) 1.0E-11 (%i126) define_variable(glob_relerr,1.0E-11,convfloat) (%o126) 1.0E-11 (%i127) define_variable(glob_min_pole_est,1.0E+9,convfloat) (%o127) 1.0E+9 (%i128) define_variable(glob_max_hours,0.0,convfloat) (%o128) 0.0 (%i129) define_variable(glob_max_iter,1000,fixnum) (%o129) 1000 (%i130) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat) (%o130) 1.0E-11 (%i131) define_variable(glob_max_trunc_err,1.0E-11,convfloat) (%o131) 1.0E-11 (%i132) define_variable(glob_no_eqs,0,fixnum) (%o132) 0 (%i133) define_variable(glob_optimal_clock_start_sec,0.0,convfloat) (%o133) 0.0 (%i134) define_variable(glob_optimal_start,0.0,convfloat) (%o134) 0.0 (%i135) define_variable(glob_upper_ratio_limit,1.0001,convfloat) (%o135) 1.0001 (%i136) define_variable(glob_lower_ratio_limit,0.9999,convfloat) (%o136) 0.9999 (%i137) define_variable(glob_small_float,0.0,convfloat) (%o137) 0.0 (%i138) define_variable(glob_smallish_float,0.0,convfloat) (%o138) 0.0 (%i139) define_variable(glob_unchanged_h_cnt,0,fixnum) (%o139) 0 (%i140) define_variable(glob_warned,false,boolean) (%o140) false (%i141) define_variable(glob_warned2,false,boolean) (%o141) false (%i142) define_variable(glob_max_sec,10000.0,convfloat) (%o142) 10000.0 (%i143) define_variable(glob_orig_start_sec,0.0,convfloat) (%o143) 0.0 (%i144) define_variable(glob_start,0,fixnum) (%o144) 0 (%i145) define_variable(glob_curr_iter_when_opt,0,fixnum) (%o145) 0 (%i146) define_variable(glob_current_iter,0,fixnum) (%o146) 0 (%i147) define_variable(glob_iter,0,fixnum) (%o147) 0 (%i148) define_variable(glob_normmax,0.0,convfloat) (%o148) 0.0 (%i149) define_variable(glob_max_minutes,0.0,convfloat) (%o149) 0.0 (%i150) array(array_y_init,MAX_TERMS) (%o150) array_y_init (%i151) array(array_norms,MAX_TERMS) (%o151) array_norms (%i152) array(array_fact_1,MAX_TERMS) (%o152) array_fact_1 (%i153) array(array_1st_rel_error,2) (%o153) array_1st_rel_error (%i154) array(array_last_rel_error,2) (%o154) array_last_rel_error (%i155) array(array_type_pole,2) (%o155) array_type_pole (%i156) array(array_type_real_pole,2) (%o156) array_type_real_pole (%i157) array(array_type_complex_pole,2) (%o157) array_type_complex_pole (%i158) array(array_y,MAX_TERMS) (%o158) array_y (%i159) array(array_x,MAX_TERMS) (%o159) array_x (%i160) array(array_tmp0,MAX_TERMS) (%o160) array_tmp0 (%i161) array(array_tmp1_g,MAX_TERMS) (%o161) array_tmp1_g (%i162) array(array_tmp1,MAX_TERMS) (%o162) array_tmp1 (%i163) array(array_tmp2,MAX_TERMS) (%o163) array_tmp2 (%i164) array(array_tmp3_g,MAX_TERMS) (%o164) array_tmp3_g (%i165) array(array_tmp3,MAX_TERMS) (%o165) array_tmp3 (%i166) array(array_tmp4,MAX_TERMS) (%o166) array_tmp4 (%i167) array(array_m1,MAX_TERMS) (%o167) array_m1 (%i168) array(array_y_higher,2,MAX_TERMS) (%o168) array_y_higher (%i169) array(array_y_higher_work,2,MAX_TERMS) (%o169) array_y_higher_work (%i170) array(array_y_higher_work2,2,MAX_TERMS) (%o170) array_y_higher_work2 (%i171) array(array_y_set_initial,2,MAX_TERMS) (%o171) array_y_set_initial (%i172) array(array_given_rad_poles,2,3) (%o172) array_given_rad_poles (%i173) array(array_given_ord_poles,2,3) (%o173) array_given_ord_poles (%i174) array(array_rad_test_poles,2,3) (%o174) array_rad_test_poles (%i175) array(array_ord_test_poles,2,3) (%o175) array_ord_test_poles (%i176) array(array_fact_2,MAX_TERMS,MAX_TERMS) (%o176) array_fact_2 (%i177) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%o177) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i178) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%o178) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i179) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%o179) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i180) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (if vallen = 4 then printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel) else printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel)) (%o180) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i181) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%o181) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i182) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%o182) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i183) logitem_time(fd,secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp],convfloat]), secs:secs_in,printf(fd,"~%"), if secs >= 0 then (years_int :truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int :truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp, truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp, truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if truncate(years_int) > 0.1 then printf(fd, "~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(fd,"~d Seconds~%", sec_int)) else printf(fd," 0.0 Seconds~%"), printf(fd,"~%")),0) (%o183) logitem_time(fd, secs_in) := (block(mode_declare([[days_int, hours_int, minutes_int, sec_int, years_int], fixnum, [secs, secs_temp], convfloat]), secs : secs_in, printf(fd, "~%"), secs if secs >= 0 then (years_int : truncate(----------------), glob_sec_in_year sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)), sec_temp days_int : truncate(---------------), sec_temp : glob_sec_in_day mod(sec_temp, truncate(glob_sec_in_day)), sec_temp hours_int : truncate(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)), sec_temp minutes_int : truncate(------------------), glob_sec_in_minute sec_int : mod(sec_temp, truncate(glob_sec_in_minute)), if truncate(years_int) > 0.1 then printf(fd, "~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0.1 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0.1 then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "~d Seconds~%", sec_int)) else printf(fd, " 0.0 Seconds~%"), printf(fd, "~%")), 0) (%i184) omniout_timestr(secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp], convfloat]),secs:secs_in, if secs >= 0 then ( years_int:truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int:truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp,truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp,truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(true,"= ~d Seconds~%", sec_int)) else printf(true,"= 0.0 Seconds~%")),0) (%o184) omniout_timestr(secs_in) := (block(mode_declare([[days_int, hours_int, minutes_int, sec_int, years_int], fixnum, [secs, secs_temp], convfloat]), secs secs : secs_in, if secs >= 0 then (years_int : truncate(----------------), glob_sec_in_year sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)), sec_temp days_int : truncate(---------------), sec_temp : glob_sec_in_day mod(sec_temp, truncate(glob_sec_in_day)), sec_temp hours_int : truncate(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)), sec_temp minutes_int : truncate(------------------), glob_sec_in_minute sec_int : mod(sec_temp, truncate(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0.1 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0.1 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0.1 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, "= 0.0 Seconds~%")), 0) (%i185) zero_ats_ar(arr_a):=( block(modedcclare([iii],fixnum),iii:1, while iii <= MAX_TERMS do (arr_a[iii]:0.0,iii:1+iii)),0) (%o185) zero_ats_ar(arr_a) := (block(modedcclare([iii], fixnum), iii : 1, while iii <= MAX_TERMS do (arr_a : 0.0, iii : 1 + iii)), 0) iii (%i186) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block( mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats], convfloat]),ret_ats:0.0, if jjj_ats <= mmm_ats then (ma_ats:1+mmm_ats,iii_ats:jjj_ats, while iii_ats <= mmm_ats do (lll_ats:ma_ats-iii_ats, if lll_ats <= MAX_TERMS and iii_ats <= MAX_TERMS then ret_ats :arr_a[iii_ats]*arr_b[lll_ats]+ret_ats, iii_ats:1+iii_ats)),ret_ats) (%o186) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block(mode_declare([[iii_ats, lll_ats, ma_ats], fixnum, [ret_ats], convfloat]), ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, if (lll_ats <= MAX_TERMS) and (iii_ats <= MAX_TERMS) then ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i187) att(mmm_att,arr_aa,arr_bb,jjj_att):=block( mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att], fixnum]),ret_att:0.0, if jjj_att < mmm_att then (ma_att:2+mmm_att,iii_att:jjj_att, while iii_att < mmm_att and iii_att <= MAX_TERMS do (lll_att:ma_att-iii_att,al_att:lll_att-1, if lll_att <= MAX_TERMS and iii_att <= MAX_TERMS then ret_att :arr_aa[iii_att]*arr_bb[lll_att]*al_att +ret_att,iii_att:1+iii_att), ret_att:ret_att/mmm_att),ret_att) (%o187) att(mmm_att, arr_aa, arr_bb, jjj_att) := block(mode_declare([[al_att, iii_att, lll_att, ma_att], convfloat, [ret_att], fixnum]), ret_att : 0.0, if jjj_att < mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while (iii_att < mmm_att) and (iii_att <= MAX_TERMS) do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if (lll_att <= MAX_TERMS) and (iii_att <= MAX_TERMS) then ret_att : arr_aa arr_bb al_att + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : -------), ret_att) mmm_att (%i188) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%o188) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, ""), 0) (%i189) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%o189) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, ""), 0) (%i190) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%o190) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, ""), 0) (%i191) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), if rel_error # -1.0 then (if rel_error > +1.0E-34 then ( good_digits :3-floor(log10(rel_error)), printf(file,"~d",good_digits)) else (good_digits:16, printf(file,"~d", good_digits))) else printf(file,"Unknown"), printf(file,"")),0) (%o191) logitem_good_digits(file, rel_error) := (block(mode_declare([[good_digits], fixnum]), printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 3 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")), 0) (%i192) log_revs(file,revs):=printf(file,revs) (%o192) log_revs(file, revs) := printf(file, revs) (%i193) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%o193) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, ""), 0) (%i194) logitem_pole(file,pole):=(printf(file,""), if pole = 0 then printf(file,"NA") elseif pole = 1 then printf(file,"Real") elseif pole = 2 then printf(file,"Complex") elseif pole = 4 then printf(file,"Yes") else printf(file,"No"), printf(file,""),0) (%o194) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") elseif pole = 4 then printf(file, "Yes") else printf(file, "No"), printf(file, ""), 0) (%i195) logstart(file):=(printf(file,""),0) (%o195) logstart(file) := (printf(file, ""), 0) (%i196) logend(file):=(printf(file,"~%"),0) (%o196) logend(file) := (printf(file, "~%"), 0) (%i197) chk_data():=( block(mode_declare([[errflag],boolean]),errflag:false, if glob_max_iter < 2 then (omniout_str(ALWAYS,"Illegal max_iter"), errflag:true),if errflag then quit()),0) (%o197) chk_data() := (block(mode_declare([[errflag], boolean]), errflag : false, if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()), 0) (%i198) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block( mode_declare([[ms2,rrr,sec_left,sub1,sub2], convfloat]),ms2:clock_sec2, sub1:t_end2-t_start2,sub2:t2-t_start2, if sub1 = 0.0 then sec_left:0.0 else (if sub2 > 0.0 then (rrr:sub1/sub2, sec_left:rrr*ms2-ms2) else sec_left:0.0),sec_left) (%o198) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block(mode_declare([[ms2, rrr, sec_left, sub1, sub2], convfloat]), ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i199) comp_percent(t_end2,t_start2,t2):=block( mode_declare([[rrr,sub1,sub2],convfloat]), sub1:t_end2-t_start2,sub2:t2-t_start2, if sub2 > glob_small_float then rrr:100.0*sub2/sub1 else rrr:0.0,rrr) (%o199) comp_percent(t_end2, t_start2, t2) := block(mode_declare([[rrr, sub1, sub2], convfloat]), sub1 : t_end2 - t_start2, 100.0 sub2 sub2 : t2 - t_start2, if sub2 > glob_small_float then rrr : ---------- sub1 else rrr : 0.0, rrr) (%i200) comp_rad_from_ratio(term1,term2,last_no):=( if term2 > 0.0 then ret:abs(term1*glob_h/term2) else ret:glob_larger_float,ret) (%o200) comp_rad_from_ratio(term1, term2, last_no) := !term1 glob_h! (if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret) ! term2 ! (%i201) comp_ord_from_ratio(term1,term2,last_no):=( if term2 > 0.0 then ret :abs(term2)*convfloat(last_no) *log(abs(term1*glob_h/term2)) /log(convfloat(last_no)) +1.0 else ret:glob_larger_float,ret) (%o201) comp_ord_from_ratio(term1, term2, last_no) := !term1 glob_h! mabs(term2) convfloat(last_no) log(!------------!) ! term2 ! (if term2 > 0.0 then ret : -------------------------------------------------- log(convfloat(last_no)) + 1.0 else ret : glob_larger_float, ret) (%i202) comp_rad_from_three_terms(term1,term2,term3,last_no):=( temp:abs( term1*term3 -term1*term3*convfloat(last_no) -2.0*term2*term2 +term2*term2*convfloat(last_no)), if temp > 0.0 then ret:abs(term2*glob_h*term1/temp) else ret:glob_larger_float,ret) (%o202) comp_rad_from_three_terms(term1, term2, term3, last_no) := (temp : mabs(term1 term3 - term1 term3 convfloat(last_no) - 2.0 term2 term2 + term2 term2 convfloat(last_no)), if temp > 0.0 !term2 glob_h term1! then ret : !------------------! else ret : glob_larger_float, ret) ! temp ! (%i203) comp_ord_from_three_terms(term1,term2,term3,last_no):=( ret:abs( (-term1*term3*convfloat(last_no*last_no) +term2*term2*convfloat(last_no*last_no) +4.0*term2*term2 -4.0*term2*term2*convfloat(last_no) -3.0*term1*term3 +4.0*term1*term3*convfloat(last_no)) /(term1*term3 -term1*term3*convfloat(last_no) -2.0*term2*term2 +term2*term2*convfloat(last_no))),ret) (%o203) comp_ord_from_three_terms(term1, term2, term3, last_no) := (ret : mabs((- term1 term3 convfloat(last_no last_no) + term2 term2 convfloat(last_no last_no) + 4.0 term2 term2 - 4.0 term2 term2 convfloat(last_no) - 3.0 term1 term3 + 4.0 term1 term3 convfloat(last_no))/(term1 term3 - term1 term3 convfloat(last_no) - 2.0 term2 term2 + term2 term2 convfloat(last_no))), ret) (%i204) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):= ( if term5 # 0.0 and term4 # 0.0 and term3 # 0.0 and term2 # 0.0 and term1 # 0.0 then (rm0:term6/term5,rm1:term5/term4, rm2:term4/term3,rm3:term3/term2, rm4:term2/term1, nr1 :convfloat(last_no-3)*rm2 -2.0*convfloat(last_no-2)*rm1 +convfloat(last_no-1)*rm0, nr2 :convfloat(last_no-4)*rm3 -2.0*convfloat(last_no-3)*rm2 +convfloat(last_no-2)*rm1, dr1:(-1.0)/rm3+2.0/rm2+(-1.0)/rm1, dr2:(-1.0)/rm4+2.0/rm3+(-1.0)/rm2, ds1:5.0/rm3-8.0/rm2+3.0/rm1, ds2:5.0/rm4-8.0/rm3+3.0/rm2, if abs(nr1*dr2-nr2*dr1) = 0.0 or abs(dr1) = 0.0 then (rad_c:glob_larger_float, ord_no:glob_larger_float) else (if abs(nr1*dr2-nr2*dr1) # 0.0 then ( rcs :(dr1*dr2-ds2*dr1+ds1*dr2) /(nr1*dr2-nr2*dr1), ord_no :(rcs*nr1-ds1)/(2.0*dr1) -convfloat(last_no)/2.0, if abs(rcs) # 0.0 then (if rcs > 0.0 then rad_c :sqrt(rcs) *abs(glob_h) else ( rad_c :glob_larger_float, ord_no :glob_larger_float)) else ( rad_c:glob_larger_float, ord_no:glob_larger_float)) else (rad_c:glob_larger_float, ord_no:glob_larger_float))) else (rad_c:glob_larger_float, ord_no:glob_larger_float), glob_six_term_ord_save:ord_no,rad_c) (%o204) comp_rad_from_six_terms(term1, term2, term3, term4, term5, term6, last_no) := (if (term5 # 0.0) and (term4 # 0.0) and (term3 # 0.0) term6 term5 and (term2 # 0.0) and (term1 # 0.0) then (rm0 : -----, rm1 : -----, term5 term4 term4 term3 term2 rm2 : -----, rm3 : -----, rm4 : -----, term3 term2 term1 nr1 : convfloat(last_no - 3) rm2 - 2.0 convfloat(last_no - 2) rm1 + convfloat(last_no - 1) rm0, nr2 : convfloat(last_no - 4) rm3 - 2.0 convfloat(last_no - 3) rm2 + convfloat(last_no - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (mabs(nr1 dr2 - nr2 dr1) = 0.0) or (mabs(dr1) = 0.0) rm4 rm3 rm2 then (rad_c : glob_larger_float, ord_no : glob_larger_float) else (if mabs(nr1 dr2 - nr2 dr1) # 0.0 dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(last_no) ord_no : ------------- - ------------------, 2.0 dr1 2.0 if mabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) mabs(glob_h) else (rad_c : glob_larger_float, ord_no : glob_larger_float)) else (rad_c : glob_larger_float, ord_no : glob_larger_float)) else (rad_c : glob_larger_float, ord_no : glob_larger_float))) else (rad_c : glob_larger_float, ord_no : glob_larger_float), glob_six_term_ord_save : ord_no, rad_c) (%i205) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%o205) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6, last_no) := glob_six_term_ord_save (%i206) factorial_2(nnn):=nnn! (%o206) factorial_2(nnn) := nnn! (%i207) factorial_1(nnn):=block(mode_declare([[ret],convfloat]), if nnn <= MAX_TERMS then (if array_fact_1[nnn] = 0 then (ret:factorial_2(nnn), array_fact_1[nnn]:ret) else ret:array_fact_1[nnn]) else ret:factorial_2(nnn),ret) (%o207) factorial_1(nnn) := block(mode_declare([[ret], convfloat]), if nnn <= MAX_TERMS then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%i208) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]), if nnn <= MAX_TERMS and mmm <= MAX_TERMS then (if array_fact_2[mmm,nnn] = 0 then (ret:factorial_1(mmm)/factorial_1(nnn), array_fact_2[mmm,nnn]:ret) else ret:array_fact_2[mmm,nnn]) else ret:factorial_2(mmm)/factorial_2(nnn),ret) (%o208) factorial_3(mmm, nnn) := block(mode_declare([[ret], convfloat]), if (nnn <= MAX_TERMS) and (mmm <= MAX_TERMS) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%i209) log10(x):=log(x)/glob_log_10 log(x) (%o209) log10(x) := ----------- glob_log_10 (%i210) expt(x,y):=(if x <= 0.0 and y < 0.0 then print("expt error x = ",x,"y = ",y),x^y) (%o210) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%i211) estimated_needed_step_error(x_start,x_end,estimated_h, estimated_answer):=block( [desired_abs_gbl_error,range, estimated_steps,step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32,""), desired_abs_gbl_error :expt(10.0,-glob_desired_digits_correct) *abs(estimated_answer), omniout_float(ALWAYS,"estimated_h",32, estimated_h,32,""), omniout_float(ALWAYS,"estimated_answer", 32,estimated_answer,32,""), omniout_float(ALWAYS, "desired_abs_gbl_error",32, desired_abs_gbl_error,32, ""),range:x_end-x_start, omniout_float(ALWAYS,"range",32,range,32, ""), estimated_steps:range/estimated_h, omniout_float(ALWAYS,"estimated_steps",32, estimated_steps,32,""), step_error :abs( desired_abs_gbl_error/estimated_steps), omniout_float(ALWAYS,"step_error",32, step_error,32,""), step_error) (%o211) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) mabs(estimated_answer), omniout_float(ALWAYS, "estimated_h", 32, estimated_h, 32, ""), omniout_float(ALWAYS, "estimated_answer", 32, estimated_answer, 32, ""), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h !desired_abs_gbl_error! 32, estimated_steps, 32, ""), step_error : !---------------------!, ! estimated_steps ! omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%i212) exact_soln_y(x):=block(-sin(x)-cos(x)+2.0) (%o212) exact_soln_y(x) := block(- sin(x) - cos(x) + 2.0) (%i213) display_poles():=( block(mode_declare([[rad_given],convfloat]), if glob_type_given_pole = 4 then (rad_given :sqrt( array_given_rad_poles[1,2] *array_given_rad_poles[1,2] +(array_x[1] -array_given_rad_poles[1,1]) *(array_x[1] -array_given_rad_poles[1,1])), if rad_given < glob_least_given_sing then glob_least_given_sing :rad_given, omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4,rad_given,4," "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles[ 1,1],4," ")) elseif glob_type_given_pole = 3 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_rad_test_poles[1,1] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (ratio test) for eq 1 ", 4, array_rad_test_poles[1,1], 4," "), if array_rad_test_poles[1,1] < glob_least_ratio_sing then glob_least_ratio_sing :array_rad_test_poles[1,1], omniout_float(ALWAYS, "Order of pole (ratio test) ", 4, array_ord_test_poles[1,1], 4," ")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if array_rad_test_poles[1,2] > 0.0 and array_rad_test_poles[1,2] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_rad_test_poles[1,2], 4," "), if array_rad_test_poles[1,2] < glob_least_3_sing then glob_least_3_sing :array_rad_test_poles[1,2], omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_ord_test_poles[1,2], 4," ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if array_rad_test_poles[1,3] > 0.0 and array_rad_test_poles[1,3] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_rad_test_poles[1,3], 4," "), if array_rad_test_poles[1,3] < glob_least_6_sing then glob_least_6_sing :array_rad_test_poles[1,3], omniout_float(ALWAYS, "Order of pole (six term test) ", 4, array_ord_test_poles[1,3], 4," ")) else omniout_str(ALWAYS, "NO COMPLEX POLE (six term test) for Equation 1")), 0) (%o213) display_poles() := (block(mode_declare([[rad_given], convfloat]), if glob_type_given_pole = 4 then (rad_given : sqrt(array_given_rad_poles array_given_rad_poles 1, 2 1, 2 + (array_x - array_given_rad_poles ) 1 1, 1 (array_x - array_given_rad_poles )), 1 1, 1 if rad_given < glob_least_given_sing then glob_least_given_sing : rad_given, omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3 1, 1 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_rad_test_poles < glob_large_float then (omniout_float(ALWAYS, "Ra\ 1, 1 dius of convergence (ratio test) for eq 1 ", 4, array_rad_test_poles , 4, " "), if array_rad_test_poles < 1, 1 1, 1 glob_least_ratio_sing then glob_least_ratio_sing : array_rad_test_poles , 1, 1 omniout_float(ALWAYS, "Order of pole (ratio test) ", 4, array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS, 1, 1 "NO POLE (ratio test) for Equation 1"), if (array_rad_test_poles > 0.0) and (array_rad_test_poles < glob_large_float) 1, 2 1, 2 then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_rad_test_poles , 4, " "), if array_rad_test_poles < 1, 2 1, 2 glob_least_3_sing then glob_least_3_sing : array_rad_test_poles , 1, 2 omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS, 1, 2 "NO REAL POLE (three term test) for Equation 1"), if (array_rad_test_poles > 0.0) and (array_rad_test_poles < 1, 3 1, 3 glob_large_float) then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_rad_test_poles , 4, " "), if array_rad_test_poles < 1, 3 1, 3 glob_least_6_sing then glob_least_6_sing : array_rad_test_poles , 1, 3 omniout_float(ALWAYS, "Order of pole (six term test) ", 4, array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS, 1, 3 "NO COMPLEX POLE (six term test) for Equation 1")), 0) (%i214) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0 else ret:-1.0,ret) (%o214) my_check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i215) est_size_answer():=block([min_size], min_size:glob_estimated_size_answer, if abs(array_y[1]) < min_size then (min_size:abs(array_y[1]), omniout_float(ALWAYS,"min_size",32,min_size, 32,"")), if min_size < 1.0 then (min_size:1.0, omniout_float(ALWAYS,"min_size",32,min_size, 32,"")),min_size) (%o215) est_size_answer() := block([min_size], min_size : glob_estimated_size_answer, if !array_y ! < min_size then (min_size : !array_y !, ! 1! ! 1! omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%i216) test_suggested_h():=block( [max_estimated_step_error,hn_div_ho,hn_div_ho_2, hn_div_ho_3,no_terms,est_tmp], max_estimated_step_error:0.0,no_terms:MAX_TERMS, hn_div_ho:0.5,hn_div_ho_2:0.25,hn_div_ho_3:0.125, omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""), omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32, ""), omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32, ""), est_tmp:abs(array_y[no_terms]*hn_div_ho_3 +array_y[no_terms-1]*hn_div_ho_2 +array_y[no_terms-2]*hn_div_ho +array_y[no_terms-3]), if est_tmp >= max_estimated_step_error then max_estimated_step_error:est_tmp, omniout_float(ALWAYS,"max_estimated_step_error",32, max_estimated_step_error,32,""), max_estimated_step_error) (%o216) test_suggested_h() := block([max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0, no_terms : MAX_TERMS, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), est_tmp : mabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if est_tmp >= max_estimated_step_error then max_estimated_step_error : est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""), max_estimated_step_error) (%i217) reached_interval():=block(mode_declare([[ret],boolean]), if glob_check_sign*array_x[1] >= glob_check_sign*glob_next_display then ret:true else ret:false,return(ret)) (%o217) reached_interval() := block(mode_declare([[ret], boolean]), if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%i218) display_alot(iter):=( block(mode_declare( [[abserr],convfloat,[analytic_val_y],convfloat, [ind_var],convfloat,[numeric_val],convfloat, [relerr],convfloat,[term_no],fixnum]), if reached_interval() then (if iter >= 0 then (ind_var:array_x[1], omniout_float(ALWAYS, "x[1] ", 33,ind_var,20, " "), analytic_val_y :exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20," "), term_no:1, numeric_val:array_y[term_no], abserr :abs( numeric_val-analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33,numeric_val, 20," "), if abs(analytic_val_y) # 0.0 then ( relerr :abserr*100.0 /abs(analytic_val_y), if relerr > 1.0E-34 then glob_good_digits :3-floor(log10(relerr)) else glob_good_digits :16) else (relerr:-1.0, glob_good_digits:-1), if glob_iter = 1 then array_1st_rel_error[1] :relerr else array_last_rel_error[ 1] :relerr, omniout_float(ALWAYS, "absolute error ", 4,abserr,20," "), omniout_float(ALWAYS, "relative error ", 4,relerr,20,"%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits,4, " "), omniout_float(ALWAYS, "h ", 4,glob_h,20, " ")))),0) (%o218) display_alot(iter) := (block(mode_declare([[abserr], convfloat, [analytic_val_y], convfloat, [ind_var], convfloat, [numeric_val], convfloat, [relerr], convfloat, [term_no], fixnum]), if reached_interval() then (if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : mabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if mabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : --------------------, if relerr > 1.0E-34 mabs(analytic_val_y) then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))), 0) (%i219) adjust_for_pole(h_param):=( block(mode_declare( [[hnew],convfloat,[sz2],convfloat,[tmp], convfloat]),hnew:h_param, glob_normmax:glob_small_float, if abs(array_y_higher[1,1]) > glob_small_float then (tmp:abs(array_y_higher[1,1]), if tmp < glob_normmax then glob_normmax:tmp), if glob_look_poles and glob_min_pole_est > glob_small_float and glob_min_pole_est < glob_large_float then (sz2:glob_min_pole_est/10.0, if sz2 < hnew then ( omniout_float(INFO, "glob_h adjusted to ", 20,h_param,12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h:true, glob_curr_iter_when_opt :glob_current_iter, glob_optimal_clock_start_sec :elapsed_time_seconds(), glob_optimal_start:array_x[1]), hnew:sz2),hnew) (%o219) adjust_for_pole(h_param) := (block(mode_declare([[hnew], convfloat, [sz2], convfloat, [tmp], convfloat]), hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (glob_min_pole_est > glob_small_float) and (glob_min_pole_est < glob_large_float) glob_min_pole_est then (sz2 : -----------------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), hnew) 1 (%i220) prog_report(x_start,x_end):=( block(mode_declare([[clock_sec],convfloat,[opt_clock_sec], convfloat,[clock_sec1],convfloat, [expect_sec],convfloat,[left_sec], convfloat,[percent_done],convfloat, [total_clock_sec],convfloat]), clock_sec1:elapsed_time_seconds(), total_clock_sec:clock_sec1-glob_orig_start_sec, glob_clock_sec:clock_sec1-glob_clock_start_sec, left_sec:-clock_sec1+glob_orig_start_sec +glob_max_sec, expect_sec:comp_expect_sec(x_end,x_start, glob_h+array_x[1], clock_sec1 -glob_orig_start_sec), opt_clock_sec:clock_sec1 -glob_optimal_clock_start_sec, glob_optimal_expect_sec :comp_expect_sec(x_end,x_start,glob_h+array_x[1], opt_clock_sec), glob_total_exp_sec :total_clock_sec+glob_optimal_expect_sec, percent_done:comp_percent(x_end,x_start, glob_h+array_x[1]), glob_percent_done:percent_done, omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(total_clock_sec), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(glob_clock_sec), if percent_done < 100.0 then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(expect_sec), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(left_sec), omniout_float(INFO, "Percent Done ",33, percent_done,4,"%")),0) (%o220) prog_report(x_start, x_end) := (block(mode_declare([[clock_sec], convfloat, [opt_clock_sec], convfloat, [clock_sec1], convfloat, [expect_sec], convfloat, [left_sec], convfloat, [percent_done], convfloat, [total_clock_sec], convfloat]), clock_sec1 : elapsed_time_seconds(), total_clock_sec : clock_sec1 - glob_orig_start_sec, glob_clock_sec : clock_sec1 - glob_clock_start_sec, left_sec : - clock_sec1 + glob_orig_start_sec + glob_max_sec, expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x , 1 clock_sec1 - glob_orig_start_sec), opt_clock_sec : clock_sec1 - glob_optimal_clock_start_sec, glob_optimal_expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x , 1 opt_clock_sec), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(x_end, x_start, glob_h + array_x ), 1 glob_percent_done : percent_done, omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(total_clock_sec), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(glob_clock_sec), if percent_done < 100.0 then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(expect_sec), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(left_sec), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")), 0) (%i221) check_for_pole():=( block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc], convfloat,[m,n],fixnum,[nr1,nr2], convfloat,[ord_no],fixnum, [term1,term2,term3,part1,part2, part3,part4,part5,part6,part7, part8,part9,part10,part11,part12, part13,part14,rad_c,rcs,rm0,rm1, rm2,rm3,rm4],convfloat, [found_sing],fixnum, [h_new,ratio,term,local_test, tmp_rad,tmp_ord,tmp_ratio, prev_tmp_rad],convfloat,[last_no], fixnum), glob_min_pole_est:glob_larger_float, tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,1]:glob_larger_float, array_ord_test_poles[1,1]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-3 and found_sing = 1 do (tmp_rad :comp_rad_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,1] then ( array_rad_test_poles[1,1]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,1]:rad_c, array_ord_test_poles[1,1] :tmp_ord)), glob_min_pole_est:glob_larger_float, tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,2]:glob_larger_float, array_ord_test_poles[1,2]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-4 and found_sing = 1 do (tmp_rad :comp_rad_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,2] then ( array_rad_test_poles[1,2]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,2]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,2] :tmp_ord)), glob_min_pole_est:glob_larger_float, tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,3]:glob_larger_float, array_ord_test_poles[1,3]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-7 and found_sing = 1 do (tmp_rad :comp_rad_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,3] then ( array_rad_test_poles[1,3]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,3]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,3] :tmp_ord)), if abs(glob_min_pole_est)*glob_ratio_of_radius < abs(glob_h) then (h_new :glob_check_sign*glob_min_pole_est *glob_ratio_of_radius, term:1,ratio:1.0, while term <= MAX_TERMS do ( array_y[term] :array_y[term]*ratio, array_y_higher[1,term] :array_y_higher[1,term]*ratio, array_x[term] :array_x[term]*ratio, ratio:ratio*h_new/abs(glob_h), term:1+term),glob_h:h_new), if reached_interval() then display_poles()),0) (%o221) check_for_pole() := (block(mode_declare([cnt], fixnum, [dr1, dr2, ds1, ds2, hdrc], convfloat, [m, n], fixnum, [nr1, nr2], convfloat, [ord_no], fixnum, [term1, term2, term3, part1, part2, part3, part4, part5, part6, part7, part8, part9, part10, part11, part12, part13, part14, rad_c, rcs, rm0, rm1, rm2, rm3, rm4], convfloat, [found_sing], fixnum, [h_new, ratio, term, local_test, tmp_rad, tmp_ord, tmp_ratio, prev_tmp_rad], convfloat, [last_no], fixnum), glob_min_pole_est : glob_larger_float, tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float, rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float, 1, 1 array_ord_test_poles : glob_larger_float, found_sing : 1, 1, 1 last_no : - 10 - 1 + MAX_TERMS, cnt : 0, while (last_no < MAX_TERMS - 3) and (found_sing = 1) do (tmp_rad : comp_rad_from_ratio(array_y_higher , array_y_higher , 1, last_no - 1 1, last_no tmp_rad last_no), tmp_ratio : ------------, if (cnt > 0) prev_tmp_rad and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0 then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0, prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles 1, 1 then (array_rad_test_poles : rad_c, last_no : last_no - 1, 1, 1 tmp_ord : comp_ord_from_ratio(array_y_higher , 1, last_no - 1 array_y_higher , last_no), array_rad_test_poles : rad_c, 1, last_no 1, 1 array_ord_test_poles : tmp_ord)), glob_min_pole_est : glob_larger_float, 1, 1 tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float, rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float, 1, 2 array_ord_test_poles : glob_larger_float, found_sing : 1, 1, 2 last_no : - 10 - 1 + MAX_TERMS, cnt : 0, while (last_no < MAX_TERMS - 4) and (found_sing = 1) do (tmp_rad : comp_rad_from_three_terms(array_y_higher , 1, last_no - 2 array_y_higher , array_y_higher , last_no), 1, last_no - 1 1, last_no tmp_rad tmp_ratio : ------------, if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit) prev_tmp_rad and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0 then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0, prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles 1, 2 then (array_rad_test_poles : rad_c, last_no : last_no - 1, 1, 2 tmp_ord : comp_ord_from_three_terms(array_y_higher , 1, last_no - 2 array_y_higher , array_y_higher , last_no), 1, last_no - 1 1, last_no array_rad_test_poles : rad_c, if rad_c < glob_min_pole_est 1, 2 then glob_min_pole_est : rad_c, array_ord_test_poles : tmp_ord)), 1, 2 glob_min_pole_est : glob_larger_float, tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float, rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float, 1, 3 array_ord_test_poles : glob_larger_float, found_sing : 1, 1, 3 last_no : - 10 - 1 + MAX_TERMS, cnt : 0, while (last_no < MAX_TERMS - 7) and (found_sing = 1) do (tmp_rad : comp_rad_from_six_terms(array_y_higher , 1, last_no - 5 array_y_higher , array_y_higher , 1, last_no - 4 1, last_no - 3 array_y_higher , array_y_higher , 1, last_no - 2 1, last_no - 1 tmp_rad array_y_higher , last_no), tmp_ratio : ------------, 1, last_no prev_tmp_rad if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0 then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0, prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles 1, 3 then (array_rad_test_poles : rad_c, last_no : last_no - 1, 1, 3 tmp_ord : comp_ord_from_six_terms(array_y_higher , 1, last_no - 5 array_y_higher , array_y_higher , 1, last_no - 4 1, last_no - 3 array_y_higher , array_y_higher , 1, last_no - 2 1, last_no - 1 array_y_higher , last_no), array_rad_test_poles : rad_c, 1, last_no 1, 3 if rad_c < glob_min_pole_est then glob_min_pole_est : rad_c, array_ord_test_poles : tmp_ord)), if mabs(glob_min_pole_est) 1, 3 glob_ratio_of_radius < mabs(glob_h) then (h_new : glob_check_sign glob_min_pole_est glob_ratio_of_radius, term : 1, ratio : 1.0, while term <= MAX_TERMS do (array_y : array_y ratio, term term array_y_higher : array_y_higher ratio, 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ------------, term : 1 + term), term term mabs(glob_h) glob_h : h_new), if reached_interval() then display_poles()), 0) (%i222) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]),array_tmp1[1]:sin(array_x[1]), array_tmp1_g[1]:cos(array_x[1]), array_tmp2[1]:array_tmp1[1]+array_const_0D0[1], array_tmp3[1]:cos(array_x[1]), array_tmp3_g[1]:sin(array_x[1]), array_tmp4[1]:array_tmp2[1]-array_tmp3[1], if not array_y_set_initial[1,2] then (if 1 <= MAX_TERMS then ( temporary :array_tmp4[1]*expt(glob_h,1) *factorial_3(0,1), if 2 <= MAX_TERMS then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:temporary*1.0/glob_h, array_y_higher[2,1]:temporary,0)),kkk:2, array_tmp1[2]:array_tmp1_g[1]*array_x[2]/1, array_tmp1_g[2]:(-array_tmp1[1]*array_x[2])/1, array_tmp2[2]:array_tmp1[2], array_tmp3[2]:(-array_tmp3_g[1]*array_x[2])/1, array_tmp3_g[2]:array_tmp3[1]*array_x[2]/1, array_tmp4[2]:array_tmp2[2]-array_tmp3[2], if not array_y_set_initial[1,3] then (if 2 <= MAX_TERMS then ( temporary :array_tmp4[2]*expt(glob_h,1) *factorial_3(1,2), if 3 <= MAX_TERMS then (array_y[3]:temporary, array_y_higher[1,3]:temporary), temporary:temporary*2.0/glob_h, array_y_higher[2,2]:temporary,0)),kkk:3, array_tmp1[3]:array_tmp1_g[2]*array_x[2]/2, array_tmp1_g[3]:(-array_tmp1[2]*array_x[2])/2, array_tmp2[3]:array_tmp1[3], array_tmp3[3]:(-array_tmp3_g[2]*array_x[2])/2, array_tmp3_g[3]:array_tmp3[2]*array_x[2]/2, array_tmp4[3]:array_tmp2[3]-array_tmp3[3], if not array_y_set_initial[1,4] then (if 3 <= MAX_TERMS then ( temporary :array_tmp4[3]*expt(glob_h,1) *factorial_3(2,3), if 4 <= MAX_TERMS then (array_y[4]:temporary, array_y_higher[1,4]:temporary), temporary:temporary*3.0/glob_h, array_y_higher[2,3]:temporary,0)),kkk:4, array_tmp1[4]:array_tmp1_g[3]*array_x[2]/3, array_tmp1_g[4]:(-array_tmp1[3]*array_x[2])/3, array_tmp2[4]:array_tmp1[4], array_tmp3[4]:(-array_tmp3_g[3]*array_x[2])/3, array_tmp3_g[4]:array_tmp3[3]*array_x[2]/3, array_tmp4[4]:array_tmp2[4]-array_tmp3[4], if not array_y_set_initial[1,5] then (if 4 <= MAX_TERMS then ( temporary :array_tmp4[4]*expt(glob_h,1) *factorial_3(3,4), if 5 <= MAX_TERMS then (array_y[5]:temporary, array_y_higher[1,5]:temporary), temporary:temporary*4.0/glob_h, array_y_higher[2,4]:temporary,0)),kkk:5, array_tmp1[5]:array_tmp1_g[4]*array_x[2]/4, array_tmp1_g[5]:(-array_tmp1[4]*array_x[2])/4, array_tmp2[5]:array_tmp1[5], array_tmp3[5]:(-array_tmp3_g[4]*array_x[2])/4, array_tmp3_g[5]:array_tmp3[4]*array_x[2]/4, array_tmp4[5]:array_tmp2[5]-array_tmp3[5], if not array_y_set_initial[1,6] then (if 5 <= MAX_TERMS then ( temporary :array_tmp4[5]*expt(glob_h,1) *factorial_3(4,5), if 6 <= MAX_TERMS then (array_y[6]:temporary, array_y_higher[1,6]:temporary), temporary:temporary*5.0/glob_h, array_y_higher[2,5]:temporary,0)),kkk:6, while kkk <= MAX_TERMS do (array_tmp1[kkk] :array_tmp1_g[kkk-1]*array_x[2]/(kkk-1), array_tmp1_g[kkk] :(-array_tmp1[kkk-1]*array_x[2])/(kkk-1), array_tmp2[kkk]:array_tmp1[kkk], array_tmp3[kkk] :(-array_tmp3_g[kkk-1]*array_x[2])/(kkk-1), array_tmp3_g[kkk] :array_tmp3[kkk-1]*array_x[2]/(kkk-1), array_tmp4[kkk]:array_tmp2[kkk]-array_tmp3[kkk], order_d:1, if order_d+kkk <= MAX_TERMS then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :array_tmp4[kkk]*expt(glob_h,order_d) *factorial_3(kkk-1, -1+order_d +kkk), array_y[order_d+kkk]:temporary, array_y_higher[1,order_d+kkk]:temporary, term:-1+order_d+kkk,adj2:-1+order_d+kkk, adj3:2, while term >= 1 and term <= MAX_TERMS and adj3 < 1+order_d do ( if adj3 <= 1+order_d then ( if adj2 > 0 then temporary :temporary*adj2/glob_h else temporary:temporary, array_y_higher[adj3,term] :temporary),term:term-1, adj2:adj2-1,adj3:1+adj3))), kkk:1+kkk)),0) (%o222) atomall() := (block(mode_declare([[kkk, order_d], fixnum, [adj2, adj3, temporary, term, temp, temp2], convfloat]), array_tmp1 : sin(array_x ), array_tmp1_g : cos(array_x ), 1 1 1 1 array_tmp2 : array_tmp1 + array_const_0D0 , array_tmp3 : cos(array_x ), 1 1 1 1 1 array_tmp3_g : sin(array_x ), array_tmp4 : array_tmp2 - array_tmp3 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= MAX_TERMS 1, 2 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(0, 1), 1 if 2 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary), 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1_g array_x - array_tmp1 array_x 1 2 1 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 2 1 2 1 - array_tmp3_g array_x 1 2 array_tmp2 : array_tmp1 , array_tmp3 : ------------------------, 2 2 2 1 array_tmp3 array_x 1 2 array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 , 2 1 2 2 2 if not array_y_set_initial then (if 2 <= MAX_TERMS 1, 3 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), 2 if 3 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary), 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 3, glob_h 2, 2 array_tmp1_g array_x - array_tmp1 array_x 2 2 2 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 3 2 3 2 - array_tmp3_g array_x 2 2 array_tmp2 : array_tmp1 , array_tmp3 : ------------------------, 3 3 3 2 array_tmp3 array_x 2 2 array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 , 3 2 3 3 3 if not array_y_set_initial then (if 3 <= MAX_TERMS 1, 4 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), 3 if 4 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary), 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp1_g array_x - array_tmp1 array_x 3 2 3 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 4 3 4 3 - array_tmp3_g array_x 3 2 array_tmp2 : array_tmp1 , array_tmp3 : ------------------------, 4 4 4 3 array_tmp3 array_x 3 2 array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 , 4 3 4 4 4 if not array_y_set_initial then (if 4 <= MAX_TERMS 1, 5 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4), 4 if 5 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary), 5 1, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 5, glob_h 2, 4 array_tmp1_g array_x - array_tmp1 array_x 4 2 4 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 5 4 5 4 - array_tmp3_g array_x 4 2 array_tmp2 : array_tmp1 , array_tmp3 : ------------------------, 5 5 5 4 array_tmp3 array_x 4 2 array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 , 5 4 5 5 5 if not array_y_set_initial then (if 5 <= MAX_TERMS 1, 6 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), 5 if 6 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary), 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 array_tmp1_g array_x kkk - 1 2 while kkk <= MAX_TERMS do (array_tmp1 : ----------------------------, kkk kkk - 1 - array_tmp1 array_x kkk - 1 2 array_tmp1_g : ----------------------------, array_tmp2 : array_tmp1 , kkk kkk - 1 kkk kkk - array_tmp3_g array_x kkk - 1 2 array_tmp3 : ------------------------------, kkk kkk - 1 array_tmp3 array_x kkk - 1 2 array_tmp3_g : --------------------------, kkk kkk - 1 array_tmp4 : array_tmp2 - array_tmp3 , order_d : 1, kkk kkk kkk if order_d + kkk <= MAX_TERMS then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp4 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while (term >= 1) and (term <= MAX_TERMS) and (adj3 < 1 + order_d) do (if adj3 <= 1 + order_d temporary adj2 then (if adj2 > 0 then temporary : -------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)), 0) (%i223) exact_soln_y(x):=block(-sin(x)-cos(x)+2.0) (%o223) exact_soln_y(x) := block(- sin(x) - cos(x) + 2.0) (%i224) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,best_h,found_h], convfloat,[repeat_it],fixnum]),Digits:32, max_terms:30,glob_html_log:true,term:1, while term <= MAX_TERMS do (array_y_init[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_norms[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_fact_1[term]:0.0,term:1+term),term:1, while term <= 2 do (array_1st_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_tmp0[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp1_g[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp1[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp2[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp3_g[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp3[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp4[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_m1[term]:0.0,term:1+term), ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher[ord,term]:0.0,term:1+term), ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher_work[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher_work2[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_set_initial[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_rad_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_ord_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_rad_test_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_ord_test_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= MAX_TERMS do (term:1, while term <= MAX_TERMS do (array_fact_2[ord,term]:0.0,term:1+term), ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x), zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1_g), zero_ats_ar(array_tmp1),zero_ats_ar(array_tmp2), zero_ats_ar(array_tmp3_g),zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4),zero_ats_ar(array_m1), zero_ats_ar(array_const_1),array_const_1[1]:1, zero_ats_ar(array_const_0D0),array_const_0D0[1]:0.0, zero_ats_ar(array_m1),array_m1[1]:-1.0,iiif:0, while iiif <= MAX_TERMS do (jjjf:0, while jjjf <= MAX_TERMS do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false, array_y_set_initial[1,21]:false, array_y_set_initial[1,22]:false, array_y_set_initial[1,23]:false, array_y_set_initial[1,24]:false, array_y_set_initial[1,25]:false, array_y_set_initial[1,26]:false, array_y_set_initial[1,27]:false, array_y_set_initial[1,28]:false, array_y_set_initial[1,29]:false, array_y_set_initial[1,30]:false,ALWAYS:1,INFO:2,DEBUGL:3, DEBUGMASSIVE:4,MAX_TERMS:30,glob_iolevel:INFO, glob_orig_start_sec:elapsed_time_seconds(), glob_curr_iter_when_opt:0,glob_display_flag:true, glob_no_eqs:1,glob_iter:-1,opt_iter:-1,glob_max_iter:50000, glob_max_hours:0.0,glob_max_minutes:15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/subpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"Digits:32,"), omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"x_start:0.0,"), omniout_str(ALWAYS,"x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter:100,"), omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS,"glob_desired_digits_correct:10,"), omniout_str(ALWAYS,"glob_display_interval:0.01,"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter:1000000000,"), omniout_str(ALWAYS,"glob_max_minutes:10.0,"), omniout_str(ALWAYS,"glob_subiter_method:3,"), omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS,"exact_soln_y (x) := (block("), omniout_str(ALWAYS," (2.0 - cos(x) - sin(x)) "), omniout_str(ALWAYS,"));"),omniout_str(ALWAYS,""), omniout_str(ALWAYS,"/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:0.0,glob_smallish_float:0.0, glob_large_float:1.0E+100,glob_larger_float:1.1E+100, glob_almost_1:0.99,x_start:0.0,x_end:10.0, array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_max_iter:100, glob_desired_digits_correct:10,glob_display_interval:0.01, glob_look_poles:true,glob_max_iter:1000000000, glob_max_minutes:10.0,glob_subiter_method:3, glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, omniout_str(ALWAYS,"START of Optimize"), glob_check_sign:my_check_sign(x_start,x_end),found_h:false, glob_h:glob_min_h*glob_check_sign, if abs(glob_max_h) < abs(glob_h) then glob_h:abs(glob_max_h)*glob_check_sign, if abs(glob_display_interval) < abs(glob_h) then glob_h:abs(glob_display_interval), if glob_h > 0.0 then (glob_neg_h:false, glob_display_interval:abs(glob_display_interval)) else (glob_neg_h:true, glob_display_interval :-abs(glob_display_interval)),chk_data(), best_h:glob_h,min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err:estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(ALWAYS,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:0.0, while opt_iter <= 100 and not found_h do (omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start,order_diff:1,term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no]*expt(glob_h,term_no-1) /factorial_1(term_no-1),term_no:1+term_no), rows:order_diff,r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),r_order:1+r_order), atomall(),estimated_step_error:test_suggested_h(), omniout_float(ALWAYS,"estimated_step_error",32, estimated_step_error,32,""), if estimated_step_error > est_needed_step_err and opt_iter = 1 or glob_check_sign*glob_h >= glob_check_sign*glob_max_h then (found_h:true, glob_h:glob_check_sign*glob_max_h, best_h:glob_h) elseif estimated_step_error > est_needed_step_err and not found_h then (glob_h:glob_h/2.0,best_h:glob_h, found_h:true) else (glob_h:glob_h*2.0,best_h:glob_h), omniout_float(ALWAYS,"best_h",32,best_h,32,""), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(ALWAYS,"Beginning glob_h too large."), found_h:false), if opt_iter > 100 then (glob_h:glob_check_sign*glob_max_h,found_h:false), if glob_check_sign*glob_display_interval < glob_check_sign*glob_h then glob_h:glob_check_sign*glob_display_interval, if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(ALWAYS,"START of Soultion"), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start,order_diff:1,term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(), glob_current_iter:0,glob_iter:0, omniout_str(DEBUGL," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(INFO," "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), glob_current_iter:1+glob_current_iter, atomall(),display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1), term_no:MAX_TERMS, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(ALWAYS,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "), omniout_int(INFO, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2014-01-09T00:54:24-06:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "sub"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_str(html_log_file,"16"), logitem_good_digits(html_log_file, array_last_rel_error[ 1]), logitem_integer(html_log_file, MAX_TERMS), if glob_least_given_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_given_sing), 0) else ( logitem_str(html_log_file, "NOT GIVEN"),0), if glob_least_ratio_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_ratio_sing), 0) else ( logitem_str(html_log_file,"NONE"),0), if glob_least_3_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_3_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), if glob_least_6_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_6_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if glob_percent_done < 100.0 then ( logitem_time(html_log_file, glob_total_exp_sec),0) else ( logitem_str(html_log_file,"Done"), 0), log_revs(html_log_file, " 225 "), logitem_str(html_log_file, "sub diffeq.max"), logitem_str(html_log_file, "sub maxima results"), logitem_str(html_log_file, "All Tests - Maxima only - to save time"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%o224) main_prog() := block(mode_declare([[d1, d2, d3, d4, est_err_2], convfloat, [niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii], fixnum, [temp_sum], convfloat, [current_iter], fixnum, [x_start, x_end], convfloat, [it, opt_iter], fixnum, [tmp], convfloat, [subiter], fixnum, [est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h], convfloat, [repeat_it], fixnum]), Digits : 32, max_terms : 30, glob_html_log : true, term : 1, while term <= MAX_TERMS do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_type_pole : 0, term : 1 + term), term term : 1, while term <= 2 do (array_type_real_pole : 0, term : 1 + term), term term : 1, while term <= 2 do (array_type_complex_pole : 0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_y : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_x : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp1_g : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_tmp3_g : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_tmp4 : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_rad_test_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_ord_test_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= MAX_TERMS do (term : 1, while term <= MAX_TERMS do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), zero_ats_ar(array_y), zero_ats_ar(array_x), zero_ats_ar(array_tmp0), zero_ats_ar(array_tmp1_g), zero_ats_ar(array_tmp1), zero_ats_ar(array_tmp2), zero_ats_ar(array_tmp3_g), zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4), zero_ats_ar(array_m1), zero_ats_ar(array_const_1), array_const_1 : 1, zero_ats_ar(array_const_0D0), array_const_0D0 : 0.0, 1 1 zero_ats_ar(array_m1), array_m1 : - 1.0, iiif : 0, 1 while iiif <= MAX_TERMS do (jjjf : 0, while jjjf <= MAX_TERMS do (array_fact_1 : 0, array_fact_2 : 0, iiif iiif, jjjf jjjf : 1 + jjjf), iiif : 1 + iiif), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, ALWAYS : 1, INFO : 2, DEBUGL : 3, 1, 30 DEBUGMASSIVE : 4, MAX_TERMS : 30, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/subpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:0.0,"), omniout_str(ALWAYS, "x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:1000000000,"), omniout_str(ALWAYS, "glob_max_minutes:10.0,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (2.0 - cos(x) - sin(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100, glob_almost_1 : 0.99, x_start : 0.0, x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_look_poles : true, 1 + 0 glob_max_iter : 100, glob_desired_digits_correct : 10, glob_display_interval : 0.01, glob_look_poles : true, glob_max_iter : 1000000000, glob_max_minutes : 10.0, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_sec : 3600.0 glob_max_hours + 60.0 glob_max_minutes, omniout_str(ALWAYS, "START of Optimize"), glob_check_sign : my_check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h glob_check_sign, if mabs(glob_max_h) < mabs(glob_h) then glob_h : mabs(glob_max_h) glob_check_sign, if mabs(glob_display_interval) < mabs(glob_h) then glob_h : mabs(glob_display_interval), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : mabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - mabs(glob_display_interval)), chk_data(), best_h : glob_h, min_value : glob_larger_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, if term_no < MAX_TERMS then array_y_higher : r_order, term_no array_y_init expt(glob_h, term_no - 1) it ----------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_check_sign glob_h >= glob_check_sign glob_max_h) then (found_h : true, glob_h : glob_check_sign glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) and (not found_h) glob_h then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_check_sign glob_max_h, found_h : false), if glob_check_sign glob_display_interval < glob_check_sign glob_h then glob_h : glob_check_sign glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, if term_no < MAX_TERMS then array_y_higher : r_order, term_no array_y_init expt(glob_h, term_no - 1) it ----------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (glob_clock_sec - glob_orig_start_sec < glob_max_sec) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, iii : MAX_TERMS, 2 while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, iii : MAX_TERMS, factorial_1(calc_term - 1) while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, iii : MAX_TERMS, factorial_1(calc_term - 1) while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : MAX_TERMS, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - glob_orig_start_sec >= glob_max_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x \ , 1 ) = sin ( x ) - cos ( x ) ; "), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2014-01-09T00:54:24-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "sub"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, MAX_TERMS), 1 if glob_least_given_sing < glob_large_float then (logitem_float(html_log_file, glob_least_given_sing), 0) else (logitem_str(html_log_file, "NOT GIVEN"), 0), if glob_least_ratio_sing < glob_large_float then (logitem_float(html_log_file, glob_least_ratio_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), if glob_least_3_sing < glob_large_float then (logitem_float(html_log_file, glob_least_3_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), if glob_least_6_sing < glob_large_float then (logitem_float(html_log_file, glob_least_6_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if glob_percent_done < 100.0 then (logitem_time(html_log_file, glob_total_exp_sec), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 225 "), logitem_str(html_log_file, "sub diffeq.max"), logitem_str(html_log_file, "sub maxima results"), logitem_str(html_log_file, "All Tests - Maxima only - to save time"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i225) main():=(alias(convfloat,convfloat),compile(all),main_prog()) (%o225) main() := (alias(convfloat, convfloat), compile(all), main_prog()) (%i226) main() warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable secs in translation. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable sec_temp in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable years_int in translation. warning: encountered undefined variable days_int in translation. warning: encountered undefined variable hours_int in translation. warning: encountered undefined variable minutes_int in translation. warning: encountered undefined variable sec_int in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable iii in translation. warning: encountered undefined variable fixnum in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable iii_ats in translation. warning: encountered undefined variable ma_ats in translation. warning: encountered undefined variable ret_ats in translation. warning: encountered undefined variable lll_ats in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable iii_att in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable ma_att in translation. warning: encountered undefined variable lll_att in translation. warning: encountered undefined variable ret_att in translation. warning: encountered undefined variable al_att in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable good_digits in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable errflag in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable sub1 in translation. warning: encountered undefined variable sub2 in translation. warning: encountered undefined variable rrr in translation. warning: encountered undefined variable ms2 in translation. warning: encountered undefined variable sec_left in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ret in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temp in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable rm0 in translation. warning: encountered undefined variable rm1 in translation. warning: encountered undefined variable rm2 in translation. warning: encountered undefined variable rm3 in translation. warning: encountered undefined variable rm4 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable nr1 in translation. warning: encountered undefined variable dr2 in translation. warning: encountered undefined variable nr2 in translation. warning: encountered undefined variable dr1 in translation. warning: encountered undefined variable ds1 in translation. warning: encountered undefined variable ds2 in translation. warning: encountered undefined variable rcs in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable ord_no in translation. warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any. warning: encountered undefined variable rad_c in translation. warning: encountered undefined variable glob_six_term_ord_save in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_1 in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_2 in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable glob_log_10 in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_x in translation. warning: encountered undefined variable array_given_rad_poles in translation. warning: encountered undefined variable rad_given in translation. warning: variable glob_least_given_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable array_given_ord_poles in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable array_rad_test_poles in translation. warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable array_ord_test_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: variable glob_least_3_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_3_sing in translation. warning: variable glob_least_6_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_estimated_size_answer in translation. warning: encountered undefined variable array_y in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable ALWAYS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_next_display in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable ind_var in translation. warning: encountered undefined variable analytic_val_y in translation. warning: encountered undefined variable term_no in translation. warning: encountered undefined variable numeric_val in translation. warning: encountered undefined variable abserr in translation. warning: encountered undefined variable relerr in translation. warning: variable glob_good_digits (declared type fixnum) assigned type any. warning: encountered undefined variable array_1st_rel_error in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable array_last_rel_error in translation. warning: encountered undefined variable INFO in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable array_y_higher in translation. warning: encountered undefined variable tmp in translation. warning: variable glob_normmax (declared type convfloat) assigned type any. warning: encountered undefined variable glob_normmax in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable INFO in translation. warning: encountered undefined variable hnew in translation. warning: encountered undefined variable sz2 in translation. warning: encountered undefined variable glob_look_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_current_iter in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_optimal_start (declared type convfloat) assigned type any. warning: encountered undefined variable glob_reached_optimal_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable clock_sec1 in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_clock_start_sec in translation. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_optimal_clock_start_sec in translation. warning: encountered undefined variable opt_clock_sec in translation. warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_optimal_expect_sec in translation. warning: encountered undefined variable total_clock_sec in translation. warning: variable glob_total_exp_sec (declared type convfloat) assigned type any. warning: encountered undefined variable percent_done in translation. warning: variable glob_percent_done (declared type convfloat) assigned type any. warning: encountered undefined variable INFO in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable expect_sec in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable left_sec in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable last_no in translation. warning: encountered undefined variable found_sing in translation. warning: variable tmp_rad (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_rad in translation. warning: encountered undefined variable prev_tmp_rad in translation. warning: encountered undefined variable cnt in translation. warning: encountered undefined variable tmp_ratio in translation. warning: encountered undefined variable glob_upper_ratio_limit in translation. warning: encountered undefined variable glob_lower_ratio_limit in translation. warning: variable tmp_ord (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_ord in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_ratio_of_radius in translation. warning: encountered undefined variable term in translation. warning: encountered undefined variable ratio in translation. warning: encountered undefined variable h_new in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable array_tmp1_g in translation. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp2 in translation. warning: encountered undefined variable array_tmp3 in translation. warning: encountered undefined variable array_tmp3_g in translation. warning: encountered undefined variable array_tmp4 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_init in translation. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: encountered undefined variable ord in translation. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: encountered undefined variable iiif in translation. warning: encountered undefined variable jjjf in translation. warning: encountered undefined variable INFO in translation. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable x_start in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable est_answer in translation. warning: encountered undefined variable est_needed_step_err in translation. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type any. warning: encountered undefined variable order_diff in translation. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: encountered undefined variable it in translation. warning: encountered undefined variable estimated_step_error in translation. warning: encountered undefined variable best_h in translation. warning: encountered undefined variable glob_html_log in translation. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable DEBUGL in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_current_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_look_poles in translation. warning: encountered undefined variable glob_next_display in translation. warning: encountered undefined variable calc_term in translation. warning: encountered undefined variable temp_sum in translation. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. Warning: modedcclare has a function or macro call which has not been translated properly. The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################" "##############temp/subpostode.ode#################" "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:0.0," "x_end:10.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.01," "glob_look_poles:true," "glob_max_iter:1000000000," "glob_max_minutes:10.0," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (2.0 - cos(x) - sin(x)) " "));" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" glob_desired_digits_correct = 10. "" estimated_h = 1.000000E-6 "" estimated_answer = 1. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 10. "" estimated_steps = 10000000. "" step_error = 9.999999999999999000000000000000000E-18 "" est_needed_step_err = 9.999999999999999000000000000000000E-18 "" opt_iter = 1 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.479596309143242700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 "" estimated_step_error = 2.479596309143242700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 "" best_h = 2.000000E-6 "" opt_iter = 2 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.66402894566730630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 "" estimated_step_error = 1.66402894566730630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 "" best_h = 4.000000E-6 "" opt_iter = 3 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.116710963428164500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 "" estimated_step_error = 1.116710963428164500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 "" best_h = 8.000000E-6 "" opt_iter = 4 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 7.4941209723208370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 "" estimated_step_error = 7.4941209723208370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 "" best_h = 1.600000E-5 "" opt_iter = 5 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 5.029220196379386000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 "" estimated_step_error = 5.029220196379386000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 "" best_h = 3.200000E-5 "" opt_iter = 6 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.37505354186319000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 "" estimated_step_error = 3.37505354186319000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 "" best_h = 6.400000E-5 "" opt_iter = 7 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.26496143353162760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 "" estimated_step_error = 2.26496143353162760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 "" best_h = 1.280000E-4 "" opt_iter = 8 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.519991689542375700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 "" estimated_step_error = 1.519991689542375700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 "" best_h = 2.560000E-4 "" opt_iter = 9 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.0200515736182791000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 "" estimated_step_error = 1.0200515736182791000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 "" best_h = 5.120000E-4 "" opt_iter = 10 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.84548268459940200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 "" estimated_step_error = 6.84548268459940200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 "" best_h = 1.024000E-3 "" opt_iter = 11 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.593969220564776400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" estimated_step_error = 4.593969220564776400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" best_h = 2.048000E-3 "" opt_iter = 12 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.0830190141818176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 "" estimated_step_error = 3.0830190141818176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 "" best_h = 4.096000E-3 "" opt_iter = 13 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.069057493681943400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" estimated_step_error = 2.069057493681943400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" best_h = 8.192000E-3 "" opt_iter = 14 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.3886262703040989000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 "" estimated_step_error = 1.3886262703040989000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 "" best_h = 1.638400E-2 "" opt_iter = 15 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 9.32032603077579200000000000000000000000000000000000000000000000000000000000000000000000000E-74 "" estimated_step_error = 9.32032603077579200000000000000000000000000000000000000000000000000000000000000000000000000E-74 "" best_h = 3.276800E-2 "" opt_iter = 16 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.256660420644666000000000000000000000000000000000000000000000000000000000000000000E-66 "" estimated_step_error = 6.256660420644666000000000000000000000000000000000000000000000000000000000000000000E-66 "" best_h = 6.553600E-2 "" opt_iter = 17 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.201315590689140300000000000000000000000000000000000000000000000000000000E-58 "" estimated_step_error = 4.201315590689140300000000000000000000000000000000000000000000000000000000E-58 "" best_h = 0.131072 "" opt_iter = 18 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.82286076696520100000000000000000000000000000000000000000000000000E-50 "" estimated_step_error = 2.82286076696520100000000000000000000000000000000000000000000000000E-50 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 0.0 " " y[1] (analytic) = 1. " " y[1] (numeric) = 1. " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.5000000000000001 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.00E-2 " " y[1] (analytic) = 0.9900501662491681 " " y[1] (numeric) = 0.9900501662491681 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999000033332888 " " Order of pole (three term test) = 22.490000666653334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.00E-2 " " y[1] (analytic) = 0.9802013266400892 " " y[1] (numeric) = 0.9802013266400892 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49960005333048885 " " Order of pole (three term test) = 22.480005332906682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.00E-2 " " y[1] (analytic) = 0.9704544660485168 " " y[1] (numeric) = 0.9704544660485168 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49910026996760215 " " Order of pole (three term test) = 22.47001799676028 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.00E-2 " " y[1] (analytic) = 0.9608105591523879 " " y[1] (numeric) = 0.9608105591523879 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4984008531513096 " " Order of pole (three term test) = 22.46004265301541 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.00E-2 " " y[1] (analytic) = 0.9512705703343554 " " y[1] (numeric) = 0.9512705703343554 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4975020826390128 " " Order of pole (three term test) = 22.450083291676584 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.000000000000001000E-2 " " y[1] (analytic) = 0.9418354535853511 " " y[1] (numeric) = 0.9418354535853511 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4964043179269331 " " Order of pole (three term test) = 22.44014389635554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.00E-2 " " y[1] (analytic) = 0.9325061524091875 " " y[1] (numeric) = 0.9325061524091875 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4951079981063185 " " Order of pole (three term test) = 22.43022844267788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.00E-2 " " y[1] (analytic) = 0.9232835997282077 " " y[1] (numeric) = 0.9232835997282078 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.202472376799478800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49361364168781346 " " Order of pole (three term test) = 22.420340896692874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.00E-2 " " y[1] (analytic) = 0.9141687177899948 " " y[1] (numeric) = 0.9141687177899946 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.214461841692771600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4919218463940608 " " Order of pole (three term test) = 22.410485213287092 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.99999999999999900E-2 " " y[1] (analytic) = 0.9051624180751462 " " y[1] (numeric) = 0.9051624180751461 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.226545648002131500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.40066533460247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10999999999999999 " " y[1] (analytic) = 0.8962656012061284 " " y[1] (numeric) = 0.8962656012061283 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.238721003161451400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.390885188459567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11999999999999998 " " y[1] (analytic) = 0.8874791568572145 " " y[1] (numeric) = 0.8874791568572143 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.250984900374149400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4856689874260147 " " Order of pole (three term test) = 22.38114868678643 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12999999999999998 " " y[1] (analytic) = 0.878803963665517 " " y[1] (numeric) = 0.878803963665517 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48319498906725666 " " Order of pole (three term test) = 22.371459724053928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13999999999999999 " " y[1] (analytic) = 0.8702408891431261 " " y[1] (numeric) = 0.8702408891431263 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.275765180050694400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4805277191553855 " " Order of pole (three term test) = 22.361822175717943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15 " " y[1] (analytic) = 0.8617907895903585 " " y[1] (numeric) = 0.8617907895903584 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.28827441420311220000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.477668244562803 " " Order of pole (three term test) = 22.352239896669325 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16 " " y[1] (analytic) = 0.8534545100101272 " " y[1] (numeric) = 0.853454510010127 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.60171576013344300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4746177090412205 " " Order of pole (three term test) = 22.342716719691943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17 " " y[1] (analytic) = 0.8452328840234432 " " y[1] (numeric) = 0.8452328840234431 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.313511395037445800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.471377332764173 " " Order of pole (three term test) = 22.333256453929593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000002 " " y[1] (analytic) = 0.8371267337860544 " " y[1] (numeric) = 0.8371267337860542 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.65246104279569600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4679484118389673 " " Order of pole (three term test) = 22.323862883362455 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000003 " " y[1] (analytic) = 0.8291368699062289 " " y[1] (numeric) = 0.8291368699062289 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46433231778825507 " " Order of pole (three term test) = 22.31453976529351 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.20000000000000004 " " y[1] (analytic) = 0.8212640913636972 " " y[1] (numeric) = 0.8212640913636969 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.70369309044462700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46053049700144255 " " Order of pole (three term test) = 22.305290828845674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.21000000000000005 " " y[1] (analytic) = 0.813509185429752 " " y[1] (numeric) = 0.8135091854297519 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.364733237816681500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4565444701561541 " " Order of pole (three term test) = 22.296119773470217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22000000000000006 " " y[1] (analytic) = 0.8058729275885252 " " y[1] (numeric) = 0.8058729275885249 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.13299536422210300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4523758316099816 " " Order of pole (three term test) = 22.287030267467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23000000000000007 " " y[1] (analytic) = 0.7983560814594368 " " y[1] (numeric) = 0.7983560814594365 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.17190919092998100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.27802594651724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24000000000000007 " " y[1] (analytic) = 0.7909593987208359 " " y[1] (numeric) = 0.7909593987208355 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.210922936451518000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4434974613896422 " " Order of pole (three term test) = 22.26911041222926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.25000000000000006 " " y[1] (analytic) = 0.7836836190348324 " " y[1] (numeric) = 0.783683619034832 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.666689963444600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43879128094518627 " " Order of pole (three term test) = 22.260287230697898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.26000000000000006 " " y[1] (analytic) = 0.7765294699733315 " " y[1] (numeric) = 0.7765294699733314 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.42972426360494100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43390958983882494 " " Order of pole (three term test) = 22.251559931078127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2700000000000001 " " y[1] (analytic) = 0.7694976669452782 " " y[1] (numeric) = 0.7694976669452781 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.442789331685015200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4288543406819122 " " Order of pole (three term test) = 22.242932004173447 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2800000000000001 " " y[1] (analytic) = 0.7625889131251153 " " y[1] (numeric) = 0.7625889131251151 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.91172086432629760000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.423627555506708 " " Order of pole (three term test) = 22.23440690103956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2900000000000001 " " y[1] (analytic) = 0.7558038993824672 " " y[1] (numeric) = 0.7558038993824671 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.468930003579326500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41823132495759335 " " Order of pole (three term test) = 22.225988031604064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3000000000000001 " " y[1] (analytic) = 0.7491433042130544 " " y[1] (numeric) = 0.7491433042130542 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.96398037166307470000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41266780745483905 " " Order of pole (three term test) = 22.217678763302484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3100000000000001 " " y[1] (analytic) = 0.7426077936708431 " " y[1] (numeric) = 0.7426077936708428 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.990065641883788400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.209482419731344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3200000000000001 " " y[1] (analytic) = 0.7361980213014412 " " y[1] (numeric) = 0.7361980213014411 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.50804945476832300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4010478789421462 " " Order of pole (three term test) = 22.201402279318803 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3300000000000001 " " y[1] (analytic) = 0.7299146280767446 " " y[1] (numeric) = 0.7299146280767443 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.04206267944098700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39499611574868254 " " Order of pole (three term test) = 22.193441574013285 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.34000000000000014 " " y[1] (analytic) = 0.7237582423308394 " " y[1] (numeric) = 0.7237582423308391 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.601908315612628400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3887863593754641 " " Order of pole (three term test) = 22.185603487990765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.35000000000000014 " " y[1] (analytic) = 0.7177294796971695 " " y[1] (numeric) = 0.7177294796971694 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.546854429183529300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38242109364224425 " " Order of pole (three term test) = 22.17789115638115 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.36000000000000015 " " y[1] (analytic) = 0.7118289430469751 " " y[1] (numeric) = 0.7118289430469749 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.11935342182873400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37590286457044736 " " Order of pole (three term test) = 22.170307664014263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.37000000000000016 " " y[1] (analytic) = 0.7060572224290035 " " y[1] (numeric) = 0.7060572224290033 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.144852823134440000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3692342793647938 " " Order of pole (three term test) = 22.162856044185926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38000000000000017 " " y[1] (analytic) = 0.7004148950105071 " " y[1] (numeric) = 0.7004148950105067 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.34037358447953500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.15553927744472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3900000000000002 " " y[1] (analytic) = 0.6949025250195255 " " y[1] (numeric) = 0.6949025250195251 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.39066910625464300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35545676900613854 " " Order of pole (three term test) = 22.148360290399793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4000000000000002 " " y[1] (analytic) = 0.6895206636884642 " " y[1] (numeric) = 0.689520663688464 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.22027484625688300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34835335467358236 " " Order of pole (three term test) = 22.14132195455024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4100000000000002 " " y[1] (analytic) = 0.6842698491989719 " " y[1] (numeric) = 0.6842698491989716 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.867478930679844000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3411106036438067 " " Order of pole (three term test) = 22.13442708513655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4200000000000002 " " y[1] (analytic) = 0.6791506066281214 " " y[1] (numeric) = 0.6791506066281211 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.9041685914288297000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33373141292065384 " " Order of pole (three term test) = 22.127678440014574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4300000000000002 " " y[1] (analytic) = 0.674163447895904 " " y[1] (numeric) = 0.6741634478959037 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.9404474304720100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3262187340820258 " " Order of pole (three term test) = 22.121078718552358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4400000000000002 " " y[1] (analytic) = 0.6693088717140367 " " y[1] (numeric) = 0.6693088717140365 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.31752071889314800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3185755720992898 " " Order of pole (three term test) = 22.114630560550513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.45000000000000023 " " y[1] (analytic) = 0.6645873635360928 " " y[1] (numeric) = 0.6645873635360924 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.68217956307778600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3108049841353321 " " Order of pole (three term test) = 22.108336545186262 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.46000000000000024 " " y[1] (analytic) = 0.6599993955089547 " " y[1] (numeric) = 0.6599993955089545 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.36431527719510900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30291007832173134 " " Order of pole (three term test) = 22.102199189981814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.47000000000000025 " " y[1] (analytic) = 0.6555454264256027 " " y[1] (numeric) = 0.6555454264256022 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.77434685604449100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29489401251554925 " " Order of pole (three term test) = 22.096220949797445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.48000000000000026 " " y[1] (analytic) = 0.6512259016792328 " " y[1] (numeric) = 0.6512259016792323 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.81928050934317300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28675999303622834 " " Order of pole (three term test) = 22.0904042158495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49000000000000027 " " y[1] (analytic) = 0.6470412532187204 " " y[1] (numeric) = 0.6470412532187199 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.57922906076180300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27851127338310844 " " Order of pole (three term test) = 22.08475131475402 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000002 " " y[1] (analytic) = 0.642991899505424 " " y[1] (numeric) = 0.6429918995054237 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.179954951901184000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2701511529340699 " " Order of pole (three term test) = 22.07926450759605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000002 " " y[1] (analytic) = 0.6390782454713411 " " y[1] (numeric) = 0.6390782454713406 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.94890200060764500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (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) = 22.07394598902532 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000002 " " y[1] (analytic) = 0.6353006824786134 " " y[1] (numeric) = 0.6353006824786128 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.73777610543123200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2531101286163889 " " Order of pole (three term test) = 22.068797886378327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000002 " " y[1] (analytic) = 0.631659588280392 " " y[1] (numeric) = 0.6316595882803915 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.78814352876039600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24443604093026358 " " Order of pole (three term test) = 22.063822258827507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000003 " " y[1] (analytic) = 0.6281553269830625 " " y[1] (numeric) = 0.6281553269830622 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.30230172507201700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2356641820868697 " " Order of pole (three term test) = 22.059021096557526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000003 " " y[1] (analytic) = 0.6247882490098349 " " y[1] (numeric) = 0.6247882490098345 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.33087662764771500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2267980607127885 " " Order of pole (three term test) = 22.054396319969282 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000003 " " y[1] (analytic) = 0.6215586910657005 " " y[1] (numeric) = 0.6215586910656999 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.93095889884196600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21784122313835572 " " Order of pole (three term test) = 22.04994977891175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5700000000000003 " " y[1] (analytic) = 0.6184669761037619 " " y[1] (numeric) = 0.6184669761037614 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.18048379313233600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20879725197917876 " " Order of pole (three term test) = 22.045683251942062 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5800000000000003 " " y[1] (analytic) = 0.6155134132929394 " " y[1] (numeric) = 0.615513413292939 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.21493959772910100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19966976470313655 " " Order of pole (three term test) = 22.04159844561412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5900000000000003 " " y[1] (analytic) = 0.6126982979870528 " " y[1] (numeric) = 0.6126982979870522 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.06011187131302600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1904624121834408 " " Order of pole (three term test) = 22.037696993795997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6000000000000003 " " y[1] (analytic) = 0.6100219116952862 " " y[1] (numeric) = 0.6100219116952859 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.45991711120564100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1811788772383364 " " Order of pole (three term test) = 22.03398045701639 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6100000000000003 " " y[1] (analytic) = 0.6074845220540392 " " y[1] (numeric) = 0.6074845220540387 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.13787087834968500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17182287315802328 " " Order of pole (three term test) = 22.030450321840465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6200000000000003 " " y[1] (analytic) = 0.6050863828001608 " " y[1] (numeric) = 0.6050863828001605 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.5044522047614400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16239814221938767 " " Order of pole (three term test) = 22.02710800027523 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6300000000000003 " " y[1] (analytic) = 0.6028277337455786 " " y[1] (numeric) = 0.6028277337455781 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.20846008300708400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15290845418914414 " " Order of pole (three term test) = 22.02395482920474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6400000000000003 " " y[1] (analytic) = 0.6007088007533152 " " y[1] (numeric) = 0.6007088007533148 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.39275351539972900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14335760481597767 " " Order of pole (three term test) = 22.02099206985538 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6500000000000004 " " y[1] (analytic) = 0.5987297957149045 " " y[1] (numeric) = 0.598729795714904 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.41718907307435000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1337494143122934 " " Order of pole (three term test) = 22.0182209072914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6600000000000004 " " y[1] (analytic) = 0.596890916529201 " " y[1] (numeric) = 0.5968909165292006 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.44003967144199300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1240877258261861 " " Order of pole (three term test) = 22.015642449940863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6700000000000004 " " y[1] (analytic) = 0.5951923470825911 " " y[1] (numeric) = 0.5951923470825905 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.326590219674801000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11437640390422953 " " Order of pole (three term test) = 22.013257729152336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6800000000000004 " " y[1] (analytic) = 0.5936342572306034 " " y[1] (numeric) = 0.593634257230603 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.61064162538995300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10461933294570948 " " Order of pole (three term test) = 22.011067698782348 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6900000000000004 " " y[1] (analytic) = 0.5922168027809255 " " y[1] (numeric) = 0.5922168027809249 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.37345090017526400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.48204156489173100E-2 " " Order of pole (three term test) = 22.009073234813822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7000000000000004 " " y[1] (analytic) = 0.5909401254778205 " " y[1] (numeric) = 0.59094012547782 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.51496117294425200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.49835714501203500E-2 " " Order of pole (three term test) = 22.00727513500577 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7100000000000004 " " y[1] (analytic) = 0.5898043529879551 " " y[1] (numeric) = 0.5898043529879546 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.52943255844589800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.51127349558426400E-2 " " Order of pole (three term test) = 22.005674118574145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7200000000000004 " " y[1] (analytic) = 0.5888095988876317 " " y[1] (numeric) = 0.5888095988876314 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.656614770152708000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.52118543690720900E-2 " " Order of pole (three term test) = 22.004270825904165 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7300000000000004 " " y[1] (analytic) = 0.5879559626514317 " " y[1] (numeric) = 0.5879559626514312 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.55310326044503200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.52848899100344600E-2 " " Order of pole (three term test) = 22.003065818294175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7400000000000004 " " y[1] (analytic) = 0.587243529642267 " " y[1] (numeric) = 0.5872435296422666 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.56226654588412100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.533581223215439300E-2 " " Order of pole (three term test) = 22.002059577731178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7500000000000004 " " y[1] (analytic) = 0.586672371102845 " " y[1] (numeric) = 0.5866723711028445 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.56962883756141200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.536860083385122700E-2 " " Order of pole (three term test) = 22.00125250669797 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7600000000000005 " " y[1] (analytic) = 0.5862425441485435 " " y[1] (numeric) = 0.586242544148543 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.57517881093150900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.53872424667888200E-2 " " Order of pole (three term test) = 22.00064492801221 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7700000000000005 " " y[1] (analytic) = 0.5859540917617 " " y[1] (numeric) = 0.5859540917616994 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.47363488227564100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.539572954123251700E-2 " " Order of pole (three term test) = 22.000237084697257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7800000000000005 " " y[1] (analytic) = 0.5858070427873124 " " y[1] (numeric) = 0.585807042787312 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.58081035927895100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.398058529133183000E-3 " " Order of pole (three term test) = 22.000029139885022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7900000000000005 " " y[1] (analytic) = 0.5858014119301561 " " y[1] (numeric) = 0.5858014119301557 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.58088322776201200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.601771634404881500E-3 " " Order of pole (three term test) = 22.000021176750625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8000000000000005 " " y[1] (analytic) = 0.5859371997533118 " " y[1] (numeric) = 0.5859371997533114 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.5791263984780400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.459976115064491300E-2 " " Order of pole (three term test) = 22.000213198479248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8100000000000005 " " y[1] (analytic) = 0.5862143926781105 " " y[1] (numeric) = 0.58621439267811 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.57554258982364200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.459191095708589400E-2 " " Order of pole (three term test) = 22.000605128264738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8200000000000005 " " y[1] (analytic) = 0.5866329629854907 " " y[1] (numeric) = 0.5866329629854902 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.46267167612788700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.457422432703144400E-2 " " Order of pole (three term test) = 22.001196809340414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8300000000000005 " " y[1] (analytic) = 0.5871928688187702 " " y[1] (numeric) = 0.5871928688187698 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.56291899020192700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.454270846823013600E-2 " " Order of pole (three term test) = 22.00198800504173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8400000000000005 " " y[1] (analytic) = 0.5878940541878326 " " y[1] (numeric) = 0.5878940541878321 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.553898643584099000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.44933761199358700E-2 " " Order of pole (three term test) = 22.00297839890096 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8500000000000005 " " y[1] (analytic) = 0.5887364489747251 " " y[1] (numeric) = 0.5887364489747247 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.54309013181427300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.44222471477625600E-2 " " Order of pole (three term test) = 22.004167594773772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8600000000000005 " " y[1] (analytic) = 0.5897199689406712 " " y[1] (numeric) = 0.5897199689406707 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.41313744741828900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.43253501356823600E-2 " " Order of pole (three term test) = 22.005555116997655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8700000000000006 " " y[1] (analytic) = 0.5908445157344938 " " y[1] (numeric) = 0.5908445157344933 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.39522154356472500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.41987239745389600E-2 " " Order of pole (three term test) = 22.007140410582224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8800000000000006 " " y[1] (analytic) = 0.5921099769024506 " " y[1] (numeric) = 0.59210997690245 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.37514201697081400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.40384194464403200E-2 " " Order of pole (three term test) = 22.008922841431186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8900000000000006 " " y[1] (analytic) = 0.5935162258994794 " " y[1] (numeric) = 0.5935162258994788 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.35292900326863900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10384050080439249 " " Order of pole (three term test) = 22.01090169659598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9000000000000006 " " y[1] (analytic) = 0.5950631221018523 " " y[1] (numeric) = 0.5950631221018517 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.32861559882657600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1136010473465438 " " Order of pole (three term test) = 22.0130761845609 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9100000000000006 " " y[1] (analytic) = 0.596750510821238 " " y[1] (numeric) = 0.5967505108212376 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.581342644000186000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1233161549844178 " " Order of pole (three term test) = 22.01544543555977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9200000000000006 " " y[1] (analytic) = 0.5985782233201714 " " y[1] (numeric) = 0.5985782233201707 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 1.1128600888288380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13298193780449052 " " Order of pole (three term test) = 22.018008501923774 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9300000000000006 " " y[1] (analytic) = 0.6005460768289247 " " y[1] (numeric) = 0.6005460768289242 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.39475665539263200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14259452962251112 " " Order of pole (three term test) = 22.020764358460543 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9400000000000006 " " y[1] (analytic) = 0.6026538745637877 " " y[1] (numeric) = 0.6026538745637872 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.21111662501761000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.152150085529917 " " Order of pole (three term test) = 22.0237119028642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9500000000000006 " " y[1] (analytic) = 0.604901405746743 " " y[1] (numeric) = 0.6049014057467424 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.17689241649720200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16164478343175254 " " Order of pole (three term test) = 22.026849956156294 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9600000000000006 " " y[1] (analytic) = 0.6072884456265452 " " y[1] (numeric) = 0.6072884456265447 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.31265699270618700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17107482557544956 " " Order of pole (three term test) = 22.030177263157334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9700000000000006 " " y[1] (analytic) = 0.6098147555011957 " " y[1] (numeric) = 0.6098147555011952 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.28236248539236700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18043644006988419 " " Order of pole (three term test) = 22.033692492988898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9800000000000006 " " y[1] (analytic) = 0.6124800827418125 " " y[1] (numeric) = 0.6124800827418119 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 1.08760077844996440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1897258823940781 " " Order of pole (three term test) = 22.037394239605916 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9900000000000007 " " y[1] (analytic) = 0.6152841608178923 " " y[1] (numeric) = 0.6152841608178916 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 1.08264417840629540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19893943689495874 " " Order of pole (three term test) = 22.041281022359094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0000000000000007 " " y[1] (analytic) = 0.6182267093239638 " " y[1] (numeric) = 0.6182267093239635 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.38745580487388500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2080734182735719 " " Order of pole (three term test) = 22.045351286587163 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0100000000000007 " " y[1] (analytic) = 0.6213074340076296 " " y[1] (numeric) = 0.6213074340076291 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.14765646671160400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21712417305915074 " " Order of pole (three term test) = 22.049603404238685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0200000000000007 " " y[1] (analytic) = 0.6245260267989876 " " y[1] (numeric) = 0.6245260267989873 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.33311492388369600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2260880810704569 " " Order of pole (three term test) = 22.05403567452331 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0300000000000007 " " y[1] (analytic) = 0.6278821658414414 " " y[1] (numeric) = 0.6278821658414411 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.30460849992761300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23496155686380188 " " Order of pole (three term test) = 22.05864632459202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0400000000000007 " " y[1] (analytic) = 0.6313755155238836 " " y[1] (numeric) = 0.631375515523883 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.79209754993388800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24374105116718037 " " Order of pole (three term test) = 22.063433510246245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0500000000000007 " " y[1] (analytic) = 0.6350057265142564 " " y[1] (numeric) = 0.635005726514256 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.24510084681999100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2524230522999297 " " Order of pole (three term test) = 22.068395316675566 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0600000000000007 " " y[1] (analytic) = 0.6387724357944864 " " y[1] (numeric) = 0.6387724357944861 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.214171569148692000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26100408757735455 " " Order of pole (three term test) = 22.07352975922356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0700000000000007 " " y[1] (analytic) = 0.6426752666967845 " " y[1] (numeric) = 0.6426752666967842 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.18250700854633300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26948072469975654 " " Order of pole (three term test) = 22.078834784181677 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0800000000000007 " " y[1] (analytic) = 0.6467138289413128 " " y[1] (numeric) = 0.6467138289413125 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.150143579468310000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.277849573125307 " " Order of pole (three term test) = 22.08430826961066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0900000000000007 " " y[1] (analytic) = 0.6508877186752122 " " y[1] (numeric) = 0.6508877186752119 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.117117712183239000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2861072854262187 " " Order of pole (three term test) = 22.08994802618931 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1000000000000008 " " y[1] (analytic) = 0.6551965185129875 " " y[1] (numeric) = 0.6551965185129873 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.38897717938087430000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29425055862767335 " " Order of pole (three term test) = 22.095751798090205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1100000000000008 " " y[1] (analytic) = 0.6596397975782458 " " y[1] (numeric) = 0.6596397975782455 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.36614930967218730000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3022761355289653 " " Order of pole (three term test) = 22.101717263881955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1200000000000008 " " y[1] (analytic) = 0.6642171115467832 " " y[1] (numeric) = 0.6642171115467829 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.014428288544444000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31018080600634046 " " Order of pole (three term test) = 22.10784203745779 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1300000000000008 " " y[1] (analytic) = 0.668928002691017 " " y[1] (numeric) = 0.6689280026910168 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.319409623035252700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3179614082970019 " " Order of pole (three term test) = 22.11412366898994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1400000000000008 " " y[1] (analytic) = 0.6737719999257589 " " y[1] (numeric) = 0.6737719999257586 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.295545153991228400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32561483026377347 " " Order of pole (three term test) = 22.12055964590954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1500000000000008 " " y[1] (analytic) = 0.678748618855322 " " y[1] (numeric) = 0.6787486188553217 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.90707307735297900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3331380106399128 " " Order of pole (three term test) = 22.12714739391164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1600000000000008 " " y[1] (analytic) = 0.6838573618219602 " " y[1] (numeric) = 0.68385736182196 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.24694325631665560000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3405279402535768 " " Order of pole (three term test) = 22.133884277984873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1700000000000008 " " y[1] (analytic) = 0.6890977179556345 " " y[1] (numeric) = 0.6890977179556342 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.222251346061300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3477816632314514 " " Order of pole (three term test) = 22.140767603465438 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1800000000000008 " " y[1] (analytic) = 0.6944691632250983 " " y[1] (numeric) = 0.694469163225098 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.79599275280693700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35489627818106084 " " Order of pole (three term test) = 22.14779461711491 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1900000000000008 " " y[1] (analytic) = 0.6999711604903008 " " y[1] (numeric) = 0.6999711604903005 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.75829471537437900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3618689393512849 " " Order of pole (three term test) = 22.154962508221534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2000000000000008 " " y[1] (analytic) = 0.7056031595561006 " " y[1] (numeric) = 0.7056031595561002 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.29375313638677500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36869685777062333 " " Order of pole (three term test) = 22.162268409724422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2100000000000009 " " y[1] (analytic) = 0.7113645972272843 " " y[1] (numeric) = 0.7113645972272838 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.2427791821663300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37537730236274613 " " Order of pole (three term test) = 22.169709399360404 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2200000000000009 " " y[1] (analytic) = 0.7172548973648859 " " y[1] (numeric) = 0.7172548973648856 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.643633785021161000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3819076010388877 " " Order of pole (three term test) = 22.17728250083281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2300000000000009 " " y[1] (analytic) = 0.7232734709438003 " " y[1] (numeric) = 0.7232734709438001 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.06999515183772830000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38828514176664713 " " Order of pole (three term test) = 22.184984685002057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2400000000000009 " " y[1] (analytic) = 0.7294197161116854 " " y[1] (numeric) = 0.729419716111685 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.08825344367392600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.394507373614766 " " Order of pole (three term test) = 22.192812871097143 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2500000000000009 " " y[1] (analytic) = 0.7356930182491456 " " y[1] (numeric) = 0.7356930182491453 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.018169255615185700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4005718077734673 " " Order of pole (three term test) = 22.200763927948024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.260000000000001 " " y[1] (analytic) = 0.7420927500311955 " " y[1] (numeric) = 0.7420927500311951 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.488211310156929000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40647601854994553 " " Order of pole (three term test) = 22.208834675237956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.270000000000001 " " y[1] (analytic) = 0.7486182714899896 " " y[1] (numeric) = 0.7486182714899893 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.44908867538909240000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4122176443386116 " " Order of pole (three term test) = 22.217021884775647 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.280000000000001 " " y[1] (analytic) = 0.7552689300788202 " " y[1] (numeric) = 0.7552689300788198 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.8798818826522800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4177943885657042 " " Order of pole (three term test) = 22.225322281786436 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.290000000000001 " " y[1] (analytic) = 0.7620440607373703 " " y[1] (numeric) = 0.76204406073737 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.370704064870793000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4232040206078882 " " Order of pole (three term test) = 22.23373254622219 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.300000000000001 " " y[1] (analytic) = 0.7689429859582203 " " y[1] (numeric) = 0.7689429859582199 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.77532038082979300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42844437668447416 " " Order of pole (three term test) = 22.242249314089268 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.310000000000001 " " y[1] (analytic) = 0.775965015854597 " " y[1] (numeric) = 0.7759650158545965 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.72305710665282900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4335133607229016 " " Order of pole (three term test) = 22.25086917879408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.320000000000001 " " y[1] (analytic) = 0.7831094482293626 " " y[1] (numeric) = 0.783109448229362 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 7.08855593005172500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4384089451971412 " " Order of pole (three term test) = 22.259588692505673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.330000000000001 " " y[1] (analytic) = 0.790375568645233 " " y[1] (numeric) = 0.7903755686452325 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.61871124902389300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44312917193867646 " " Order of pole (three term test) = 22.26840436753483 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.340000000000001 " " y[1] (analytic) = 0.797762650496222 " " y[1] (numeric) = 0.7977626504962214 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 6.95835424192006800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44767215291974644 " " Order of pole (three term test) = 22.277312677729068 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.350000000000001 " " y[1] (analytic) = 0.8052699550803 " " y[1] (numeric) = 0.8052699550802996 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.136090081174507000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45203607100853094 " " Order of pole (three term test) = 22.28631005988309 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.360000000000001 " " y[1] (analytic) = 0.8128967316732651 " " y[1] (numeric) = 0.8128967316732647 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.463045827923926000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4562191806959794 " " Order of pole (three term test) = 22.295392915163987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.370000000000001 " " y[1] (analytic) = 0.8206422176038135 " " y[1] (numeric) = 0.8206422176038131 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.41148383941000600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46021980879399077 " " Order of pole (three term test) = 22.304557610550773 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.380000000000001 " " y[1] (analytic) = 0.8285056383298066 " " y[1] (numeric) = 0.8285056383298062 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 5.36012296482745500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4640363551046667 " " Order of pole (three term test) = 22.313800480287476 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.390000000000001 " " y[1] (analytic) = 0.8364862075157249 " " y[1] (numeric) = 0.8364862075157242 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.9634763704405900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46766729306036975 " " Order of pole (three term test) = 22.323117827349424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.400000000000001 " " y[1] (analytic) = 0.8445831271112998 " " y[1] (numeric) = 0.8445831271112991 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.88713145446618000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4711111703343294 " " Order of pole (three term test) = 22.33250592492205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.410000000000001 " " y[1] (analytic) = 0.8527955874313193 " " y[1] (numeric) = 0.8527955874313187 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.81117801959477900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47436660942155384 " " Order of pole (three term test) = 22.341961017891474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.420000000000001 " " y[1] (analytic) = 0.8611227672365953 " " y[1] (numeric) = 0.8611227672365946 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.73564281563202800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4774323081898136 " " Order of pole (three term test) = 22.351479324346588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.430000000000001 " " y[1] (analytic) = 0.8695638338160864 " " y[1] (numeric) = 0.8695638338160858 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 6.38379254892039200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4803070404004764 " " Order of pole (three term test) = 22.361057037091705 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.440000000000001 " " y[1] (analytic) = 0.8781179430701691 " " y[1] (numeric) = 0.8781179430701683 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 8.85024754784572400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48298965619898765 " " Order of pole (three term test) = 22.37069032516944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.450000000000001 " " y[1] (analytic) = 0.8867842395950459 " " y[1] (numeric) = 0.8867842395950453 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.5117913132881910000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48547908257479555 " " Order of pole (three term test) = 22.38037533539301 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.460000000000001 " " y[1] (analytic) = 0.8955618567682866 " " y[1] (numeric) = 0.8955618567682859 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.43816643976884100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4877743237905414 " " Order of pole (three term test) = 22.390108193887436 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.470000000000001 " " y[1] (analytic) = 0.9044499168354883 " " y[1] (numeric) = 0.9044499168354877 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 6.13755943783837400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4898744617803423 " " Order of pole (three term test) = 22.39988500763911 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.480000000000001 " " y[1] (analytic) = 0.9134475309980512 " " y[1] (numeric) = 0.9134475309980506 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 6.07710342931303500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49177865651700337 " " Order of pole (three term test) = 22.409701866052885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.490000000000001 " " y[1] (analytic) = 0.922553799502057 " " y[1] (numeric) = 0.9225537995020564 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 6.01711805438551600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49348614634801913 " " Order of pole (three term test) = 22.419554842516277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.500000000000001 " " y[1] (analytic) = 0.9317678117282437 " " y[1] (numeric) = 0.9317678117282431 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 7.14913958596131700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4949962483002228 " " Order of pole (three term test) = 22.429439995970064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5100000000000011 " " y[1] (analytic) = 0.9410886462830669 " " y[1] (numeric) = 0.9410886462830664 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.71888818980062900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49630835835296855 " " Order of pole (three term test) = 22.439353372484682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5200000000000011 " " y[1] (analytic) = 0.9505153710908388 " " y[1] (numeric) = 0.9505153710908383 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 5.84011084087484300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4974219516797297 " " Order of pole (three term test) = 22.449291006841694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5300000000000011 " " y[1] (analytic) = 0.960047043486934 " " y[1] (numeric) = 0.9600470434869334 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.93855388956426500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4983365828580234 " " Order of pole (three term test) = 22.459248924119862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5400000000000011 " " y[1] (analytic) = 0.969682710312056 " " y[1] (numeric) = 0.9696827103120552 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 8.01454031275355100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49905188604757295 " " Order of pole (three term test) = 22.469223141285042 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5500000000000012 " " y[1] (analytic) = 0.9794214080075516 " " y[1] (numeric) = 0.979421408007551 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.80129931129663200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4995675751366399 " " Order of pole (three term test) = 22.47920966878336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5600000000000012 " " y[1] (analytic) = 0.9892621627117675 " " y[1] (numeric) = 0.9892621627117667 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 7.85591672795073400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4998834438564642 " " Order of pole (three term test) = 22.489204512136958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5700000000000012 " " y[1] (analytic) = 0.9992039903574333 " " y[1] (numeric) = 0.9992039903574325 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.88885981512551600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49999936586376986 " " Order of pole (three term test) = 22.499203673541757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5800000000000012 " " y[1] (analytic) = 1.0092458967700693 " " y[1] (numeric) = 1.0092458967700686 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.60031234119404500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49991529479129904 " " Order of pole (three term test) = 22.50920315346653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5900000000000012 " " y[1] (analytic) = 1.0193868777674027 " " y[1] (numeric) = 1.019386877767402 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53465165486550600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49963126426636034 " " Order of pole (three term test) = 22.51919895225262 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6000000000000012 " " y[1] (analytic) = 1.029625919259785 " " y[1] (numeric) = 1.0296259192597839 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07827804628628040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49914738789737645 " " Order of pole (three term test) = 22.52918707171379 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6100000000000012 " " y[1] (analytic) = 1.039961997351598 " " y[1] (numeric) = 1.0399619973515974 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.40536689293928500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49846385922844333 " " Order of pole (three term test) = 22.53916351673543 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6200000000000012 " " y[1] (analytic) = 1.0503940784436476 " " y[1] (numeric) = 1.0503940784436467 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.45566857170525200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.497580951661915 " " Order of pole (three term test) = 22.54912429687255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6300000000000012 " " y[1] (analytic) = 1.0609211193365171 " " y[1] (numeric) = 1.060921119336516 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0464708491423680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49649901834904636 " " Order of pole (three term test) = 22.559065427945914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6400000000000012 " " y[1] (analytic) = 1.0715420673348899 " " y[1] (numeric) = 1.0715420673348885 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.24331808350162820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49521849204873636 " " Order of pole (three term test) = 22.568982933635613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6500000000000012 " " y[1] (analytic) = 1.0822558603528165 " " y[1] (numeric) = 1.0822558603528152 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.23100985483771590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4937398849544323 " " Order of pole (three term test) = 22.578872847071626 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6600000000000013 " " y[1] (analytic) = 1.0930614270199237 " " y[1] (numeric) = 1.0930614270199224 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.21884058536620920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4920637884892571 " " Order of pole (three term test) = 22.588731212420434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6700000000000013 " " y[1] (analytic) = 1.1039576867885494 " " y[1] (numeric) = 1.1039576867885479 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4079454793206490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49019087306944914 " " Order of pole (three term test) = 22.598554086467335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6800000000000013 " " y[1] (analytic) = 1.1149435500417966 " " y[1] (numeric) = 1.1149435500417952 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.19491935667975670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48812188783620475 " " Order of pole (three term test) = 22.60833754019369 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6900000000000013 " " y[1] (analytic) = 1.1260179182024954 " " y[1] (numeric) = 1.1260179182024939 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.38036190130653160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4858576603560309 " " Order of pole (three term test) = 22.61807766034845 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7000000000000013 " " y[1] (analytic) = 1.1371796838430575 " " y[1] (numeric) = 1.1371796838430561 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17155419541777050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48339909628973027 " " Order of pole (three term test) = 22.627770551013413 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7100000000000013 " " y[1] (analytic) = 1.148427730796221 " " y[1] (numeric) = 1.1484277307962196 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.16007964090740660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4807471790301492 " " Order of pole (three term test) = 22.637412335161564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7200000000000013 " " y[1] (analytic) = 1.1597609342666635 " " y[1] (numeric) = 1.1597609342666624 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.57286102525232400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4779029693088328 " " Order of pole (three term test) = 22.646999156207784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7300000000000013 " " y[1] (analytic) = 1.1711781609434828 " " y[1] (numeric) = 1.1711781609434815 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.13754480230141420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4748676047717478 " " Order of pole (three term test) = 22.65652717955149 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7400000000000013 " " y[1] (analytic) = 1.1826782691135251 " " y[1] (numeric) = 1.1826782691135236 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.31423082258901370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47164229952423736 " " Order of pole (three term test) = 22.665992594110364 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7500000000000013 " " y[1] (analytic) = 1.1942601087755569 " " y[1] (numeric) = 1.1942601087755553 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.3014855164749780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4682283436453978 " " Order of pole (three term test) = 22.675391613844813 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7600000000000013 " " y[1] (analytic) = 1.2059225217552632 " " y[1] (numeric) = 1.2059225217552618 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.10477050184868020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4646271026720612 " " Order of pole (three term test) = 22.68472047927224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7700000000000014 " " y[1] (analytic) = 1.2176643418210649 " " y[1] (numeric) = 1.2176643418210638 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.11764421847792800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4608400170526013 " " Order of pole (three term test) = 22.693975458970865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7800000000000014 " " y[1] (analytic) = 1.2294843948007408 " " y[1] (numeric) = 1.2294843948007395 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.08359864930705750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45686860157077186 " " Order of pole (three term test) = 22.703152851072208 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7900000000000014 " " y[1] (analytic) = 1.241381498698842 " " y[1] (numeric) = 1.2413814986988407 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.07321369856616060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45271444473981437 " " Order of pole (three term test) = 22.712248984741795 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8000000000000014 " " y[1] (analytic) = 1.2533544638148932 " " y[1] (numeric) = 1.2533544638148921 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.85801308949679900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44837920816707294 " " Order of pole (three term test) = 22.721260221647427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8100000000000014 " " y[1] (analytic) = 1.2654020928623608 " " y[1] (numeric) = 1.2654020928623595 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.05284133562366420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4438646258893744 " " Order of pole (three term test) = 22.730182957414502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8200000000000014 " " y[1] (analytic) = 1.2775231810883794 " " y[1] (numeric) = 1.2775231810883778 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.21666068959393040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43917250367943633 " " Order of pole (three term test) = 22.739013623067674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8300000000000014 " " y[1] (analytic) = 1.2897165163942268 " " y[1] (numeric) = 1.2897165163942252 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.20515804420396650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43430471832358164 " " Order of pole (three term test) = 22.747748686458422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8400000000000014 " " y[1] (analytic) = 1.3019808794565337 " " y[1] (numeric) = 1.3019808794565324 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.02326205443684880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4292632168710502 " " Order of pole (three term test) = 22.75638465367786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8500000000000014 " " y[1] (analytic) = 1.3143150438492148 " " y[1] (numeric) = 1.3143150438492133 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1826024831330609000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4240500158552034 " " Order of pole (three term test) = 22.764918070454247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8600000000000014 " " y[1] (analytic) = 1.3267177761661082 " " y[1] (numeric) = 1.3267177761661069 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.004183145416290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41866720048693934 " " Order of pole (three term test) = 22.77334552353465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8700000000000014 " " y[1] (analytic) = 1.3391878361443186 " " y[1] (numeric) = 1.3391878361443172 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.94832534759235200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4131169238206353 " " Order of pole (three term test) = 22.781663642050187 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8800000000000014 " " y[1] (analytic) = 1.3517239767882399 " " y[1] (numeric) = 1.3517239767882383 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1498739840128741000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40740140589295537 " " Order of pole (three term test) = 22.789869098864372 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8900000000000015 " " y[1] (analytic) = 1.3643249444942538 " " y[1] (numeric) = 1.3643249444942522 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.13925369520484150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40152293283486445 " " Order of pole (three term test) = 22.797958611903884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9000000000000015 " " y[1] (analytic) = 1.3769894791760908 " " y[1] (numeric) = 1.3769894791760893 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1287756791033930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3954838559572076 " " Order of pole (three term test) = 22.80592894547136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9100000000000015 " " y[1] (analytic) = 1.3897163143908364 " " y[1] (numeric) = 1.389716314390835 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.58661574131530200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3892865908102153 " " Order of pole (three term test) = 22.813776911539644 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9200000000000015 " " y[1] (analytic) = 1.402504177465575 " " y[1] (numeric) = 1.4025041774655738 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.49920614110177000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3829336162173178 " " Order of pole (three term test) = 22.821499371026952 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9300000000000015 " " y[1] (analytic) = 1.415351789624656 " " y[1] (numeric) = 1.4153517896246544 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09818085218757870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3764274732836467 " " Order of pole (three term test) = 22.829093235052454 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9400000000000015 " " y[1] (analytic) = 1.4282578661175687 " " y[1] (numeric) = 1.4282578661175673 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.32792082687203400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36977076437962836 " " Order of pole (three term test) = 22.83655546617178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9500000000000015 " " y[1] (analytic) = 1.4412211163474193 " " y[1] (numeric) = 1.4412211163474182 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.70334969445123800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3629661521000692 " " Order of pole (three term test) = 22.843883079591986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9600000000000015 " " y[1] (analytic) = 1.4542402439999882 " " y[1] (numeric) = 1.4542402439999869 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.1612622814349700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35601635819915406 " " Order of pole (three term test) = 22.851073144365404 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9700000000000015 " " y[1] (analytic) = 1.4673139471733585 " " y[1] (numeric) = 1.4673139471733572 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.0796358346942410000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3489241625017808 " " Order of pole (three term test) = 22.85812278456199 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9800000000000015 " " y[1] (analytic) = 1.480440918508108 " " y[1] (numeric) = 1.4804409185081067 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.9991273065645890000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3416924017916673 " " Order of pole (three term test) = 22.86502918041965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9900000000000015 " " y[1] (analytic) = 1.4936198453180423 " " y[1] (numeric) = 1.493619845318041 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.9197236748451400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3343239686766745 " " Order of pole (three term test) = 22.87178956947214 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0000000000000013 " " y[1] (analytic) = 1.5068494097214624 " " y[1] (numeric) = 1.5068494097214613 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.36784324606384200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3268218104318049 " " Order of pole (three term test) = 22.878401247653965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.010000000000001 " " y[1] (analytic) = 1.520128288772953 " " y[1] (numeric) = 1.5201282887729521 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.84278594286974600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31918892782032854 " " Order of pole (three term test) = 22.884861570382014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.020000000000001 " " y[1] (analytic) = 1.5334551545956745 " " y[1] (numeric) = 1.5334551545956738 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34400584052771430000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31142837389352007 " " Order of pole (three term test) = 22.89116795361333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0300000000000007 " " y[1] (analytic) = 1.5468286745141502 " " y[1] (numeric) = 1.54682867451415 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43548285975998100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3035432527694767 " " Order of pole (three term test) = 22.897317874878695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0400000000000005 " " y[1] (analytic) = 1.5602475111875331 " " y[1] (numeric) = 1.5602475111875331 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2955367183915154 " " Order of pole (three term test) = 22.903308874291618 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0500000000000003 " " y[1] (analytic) = 1.5737103227433376 " " y[1] (numeric) = 1.5737103227433382 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.23288711491623200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2874119732666343 " " Order of pole (three term test) = 22.909138555532202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.06 " " y[1] (analytic) = 1.5872157629116281 " " y[1] (numeric) = 1.5872157629116288 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.196869955179386000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27917226718455523 " " Order of pole (three term test) = 22.914804586805687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.07 " " y[1] (analytic) = 1.6007624811596417 " " y[1] (numeric) = 1.6007624811596426 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.54847099525159600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2708208959178492 " " Order of pole (three term test) = 22.920304701775102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0799999999999996 " " y[1] (analytic) = 1.6143491228268425 " " y[1] (numeric) = 1.6143491228268436 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.87721762861973400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2623611999036733 " " Order of pole (three term test) = 22.925636700467788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0899999999999994 " " y[1] (analytic) = 1.6279743292603857 " " y[1] (numeric) = 1.6279743292603872 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.54752299553376600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25379656290763913 " " Order of pole (three term test) = 22.930798450155365 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.099999999999999 " " y[1] (analytic) = 1.6416367379509826 " " y[1] (numeric) = 1.6416367379509844 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.08206450205142180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24513041067035068 " " Order of pole (three term test) = 22.935787886206793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.109999999999999 " " y[1] (analytic) = 1.6553349826691495 " " y[1] (numeric) = 1.6553349826691515 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.20724896486084880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23636620953715573 " " Order of pole (three term test) = 22.940603012914167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999999988 " " y[1] (analytic) = 1.6690676936018294 " " y[1] (numeric) = 1.6690676936018318 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.46338621467441920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22750746507165331 " " Order of pole (three term test) = 22.94524190429099 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1299999999999986 " " y[1] (analytic) = 1.682833497489373 " " y[1] (numeric) = 1.682833497489376 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.71530924974568730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21855772065351506 " " Order of pole (three term test) = 22.94970270484259 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1399999999999983 " " y[1] (analytic) = 1.6966310177628636 " " y[1] (numeric) = 1.6966310177628665 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.70135983239984700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20952055606117934 " " Order of pole (three term test) = 22.953983630308205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.149999999999998 " " y[1] (analytic) = 1.7104588746817706 " " y[1] (numeric) = 1.7104588746817742 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.0770529659542270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20039958603998936 " " Order of pole (three term test) = 22.958082968374725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.159999999999998 " " y[1] (analytic) = 1.7243156854719266 " " y[1] (numeric) = 1.7243156854719301 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.06036151543106870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19119845885634199 " " Order of pole (three term test) = 22.9619990793616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1699999999999977 " " y[1] (analytic) = 1.7382000644637987 " " y[1] (numeric) = 1.7382000644638027 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.2993917503296724000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18192085483843162 " " Order of pole (three term test) = 22.965730396876623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1799999999999975 " " y[1] (analytic) = 1.7521106232310588 " " y[1] (numeric) = 1.752110623231063 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.4078659404482340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17257048490416385 " " Order of pole (three term test) = 22.96927542844255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1899999999999973 " " y[1] (analytic) = 1.766045970729422 " " y[1] (numeric) = 1.7660459707294265 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.5145959800052230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16315108907684436 " " Order of pole (three term test) = 22.972632756094033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.199999999999997 " " y[1] (analytic) = 1.7800047134357513 " " y[1] (numeric) = 1.780004713435756 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.61962042472645650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15366643498921234 " " Order of pole (three term test) = 22.975801036944763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.209999999999997 " " y[1] (analytic) = 1.7939854554874082 " " y[1] (numeric) = 1.793985455487413 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.7229770973942970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1441203163764438 " " Order of pole (three term test) = 22.978779003724636 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2199999999999966 " " y[1] (analytic) = 1.807986798821838 " " y[1] (numeric) = 1.8079867988218432 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 2.8247030988299680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13451655155870273 " " Order of pole (three term test) = 22.981565465286653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2299999999999964 " " y[1] (analytic) = 1.822007343316375 " " y[1] (numeric) = 1.8220073433163808 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.168571053913890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12485898191386909 " " Order of pole (three term test) = 22.984159307083353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.239999999999996 " " y[1] (analytic) = 1.8360456869282546 " " y[1] (numeric) = 1.83604568692826 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.902471630276480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11515147034103326 " " Order of pole (three term test) = 22.98655949161258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.249999999999996 " " y[1] (analytic) = 1.8501004258348122 " " y[1] (numeric) = 1.8501004258348182 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.24047508408666900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10539789971539386 " " Order of pole (three term test) = 22.98876505883255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.259999999999996 " " y[1] (analytic) = 1.864170154573871 " " y[1] (numeric) = 1.864170154573877 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.21601776440106350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.56021713351550300E-2 " " Order of pole (three term test) = 22.990775126545756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2699999999999956 " " y[1] (analytic) = 1.878253466184281 " " y[1] (numeric) = 1.8782534661842871 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.31012243546201200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.57682033610603800E-2 " " Order of pole (three term test) = 22.99258889075193 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2799999999999954 " " y[1] (analytic) = 1.8923489523466173 " " y[1] (numeric) = 1.892348952346624 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 3.52014259288199070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.58999292491822300E-2 " " Order of pole (three term test) = 22.994205625969567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.289999999999995 " " y[1] (analytic) = 1.9064552035240103 " " y[1] (numeric) = 1.9064552035240172 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 3.6105662173190840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.6001296177589810E-2 " " Order of pole (three term test) = 22.99562468552613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.299999999999995 " " y[1] (analytic) = 1.9205708091030969 " " y[1] (numeric) = 1.9205708091031042 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 3.81525738483339200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.607626346753222000E-2 " " Order of pole (three term test) = 22.99684550181673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999999947 " " y[1] (analytic) = 1.9346943575350826 " " y[1] (numeric) = 1.9346943575350901 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.90217531676145760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.612880099976105500E-2 " " Order of pole (three term test) = 22.997867586531125 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3199999999999945 " " y[1] (analytic) = 1.9488244364768936 " " y[1] (numeric) = 1.9488244364769014 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 3.98782005547180600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.61628876266323300E-2 " " Order of pole (three term test) = 22.998690530849046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3299999999999943 " " y[1] (analytic) = 1.9629596329324106 " " y[1] (numeric) = 1.9629596329324188 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 4.1853384269308830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.61825095806188600E-2 " " Order of pole (three term test) = 22.999314005603754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.339999999999994 " " y[1] (analytic) = 1.9770985333937676 " " y[1] (numeric) = 1.977098533393776 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 4.2677159709726525000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.619165887986819800E-2 " " Order of pole (three term test) = 22.999737761413645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.349999999999994 " " y[1] (analytic) = 1.9912397239827007 " " y[1] (numeric) = 1.9912397239827095 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 4.46042939482780950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.19433173145152000E-3 " " Order of pole (three term test) = 22.999961628782057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3599999999999937 " " y[1] (analytic) = 2.0053817905919358 " " y[1] (numeric) = 2.0053817905919447 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 4.4289741926795817000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.8054730670677780000E-3 " " Order of pole (three term test) = 22.999985518165005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3699999999999934 " " y[1] (analytic) = 2.0195233190265958 " " y[1] (numeric) = 2.019523319026605 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 4.6178587387375940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.380375572709924600E-2 " " Order of pole (three term test) = 22.999809420007097 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3799999999999932 " " y[1] (analytic) = 2.0336628951456226 " " y[1] (numeric) = 2.0336628951456324 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.8041209976453786000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.379651706888717400E-2 " " Order of pole (three term test) = 22.9994334047452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.389999999999993 " " y[1] (analytic) = 2.0477991050031874 " " y[1] (numeric) = 2.0477991050031976 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.9878192648861140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.377976012113040000E-2 " " Order of pole (three term test) = 22.99885762278045 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.399999999999993 " " y[1] (analytic) = 2.061930534990084 " " y[1] (numeric) = 2.0619305349900947 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.1690107186141250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.37494917197162100E-2 " " Order of pole (three term test) = 22.998082304417917 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4099999999999926 " " y[1] (analytic) = 2.0760557719750907 " " y[1] (numeric) = 2.0760557719751014 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.1338413833948690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.37017241049328700E-2 " " Order of pole (three term test) = 22.997107759774632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4199999999999924 " " y[1] (analytic) = 2.0901734034462796 " " y[1] (numeric) = 2.09017340344629 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.0991659442361830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.36324765165203900E-2 " " Order of pole (three term test) = 22.99593437865546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.429999999999992 " " y[1] (analytic) = 2.1042820176522676 " " y[1] (numeric) = 2.1042820176522787 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.2760182110182370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.35377767859237100E-2 " " Order of pole (three term test) = 22.99456263039719 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.439999999999992 " " y[1] (analytic) = 2.118380203743392 " " y[1] (numeric) = 2.1183802037434036 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.4505416146252280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.34136629251034400E-2 " " Order of pole (three term test) = 22.992993063680835 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4499999999999917 " " y[1] (analytic) = 2.132466551912792 " " y[1] (numeric) = 2.132466551912804 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.6227886224974870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.3256184711279300E-2 " " Order of pole (three term test) = 22.991226306312164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4599999999999915 " " y[1] (analytic) = 2.1465396535373893 " " y[1] (numeric) = 2.1465396535374013 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.5859246048364860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10306140526697122 " " Order of pole (three term test) = 22.98926306497057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4699999999999913 " " y[1] (analytic) = 2.1605981013187483 " " y[1] (numeric) = 2.1605981013187607 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 5.7551183943983850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11282540263468933 " " Order of pole (three term test) = 22.98710412492641 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.479999999999991 " " y[1] (analytic) = 2.174640489423807 " " y[1] (numeric) = 2.17464048942382 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.9221683530155040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12254427134567225 " " Order of pole (three term test) = 22.9847503497269 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.489999999999991 " " y[1] (analytic) = 2.1886654136254564 " " y[1] (numeric) = 2.1886654136254697 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 6.0871233275593630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13221412398201887 " " Order of pole (three term test) = 22.98220268085077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4999999999999907 " " y[1] (analytic) = 2.2026714714429643 " " y[1] (numeric) = 2.2026714714429776 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 6.0484173278796890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1418310927316042 " " Order of pole (three term test) = 22.97946213733157 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5099999999999905 " " y[1] (analytic) = 2.21665726228222 " " y[1] (numeric) = 2.216657262282234 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.2105972536223260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15139133093515286 " " Order of pole (three term test) = 22.976529815350187 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5199999999999902 " " y[1] (analytic) = 2.2306213875757943 " " y[1] (numeric) = 2.2306213875758085 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.3708053703574260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16089101462485175 " " Order of pole (three term test) = 22.973406887796315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.52999999999999 " " y[1] (analytic) = 2.2445624509227957 " " y[1] (numeric) = 2.2445624509228095 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.1333849275131910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17032634405388575 " " Order of pole (three term test) = 22.970094603799318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.53999999999999 " " y[1] (analytic) = 2.2584790582285055 " " y[1] (numeric) = 2.2584790582285197 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.292223371930951000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17969354521628503 " " Order of pole (three term test) = 22.96659428822865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5499999999999896 " " y[1] (analytic) = 2.272369817843791 " " y[1] (numeric) = 2.2723698178438054 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.2537596669394310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1889888713564806 " " Order of pole (three term test) = 22.96290734116387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5599999999999894 " " y[1] (analytic) = 2.2862333407042663 " " y[1] (numeric) = 2.286233340704281 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.4100823236781510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19820860446795135 " " Order of pole (three term test) = 22.959035237334646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.569999999999989 " " y[1] (analytic) = 2.300068240469198 " " y[1] (numeric) = 2.300068240469213 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 6.5646022449412330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20734905678038104 " " Order of pole (three term test) = 22.954979525530863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.579999999999989 " " y[1] (analytic) = 2.313873133660139 " " y[1] (numeric) = 2.313873133660154 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 6.5254369028513350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2164065722347162 " " Order of pole (three term test) = 22.95074182798318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5899999999999888 " " y[1] (analytic) = 2.327646639799274 " " y[1] (numeric) = 2.3276466397992897 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 6.6776125202975670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2253775279455395 " " Order of pole (three term test) = 22.946323839714122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5999999999999885 " " y[1] (analytic) = 2.341387381547467 " " y[1] (numeric) = 2.341387381547483 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.8280933264601450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2342583356501782 " " Order of pole (three term test) = 22.94172732786008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6099999999999883 " " y[1] (analytic) = 2.3550939848419943 " " y[1] (numeric) = 2.3550939848420103 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.7883539499910240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24304544314395976 " " Order of pole (three term test) = 22.936954130964512 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.619999999999988 " " y[1] (analytic) = 2.3687650790339476 " " y[1] (numeric) = 2.368765079033964 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.9366527351684380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2517353357010468 " " Order of pole (three term test) = 22.932006158242547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.629999999999988 " " y[1] (analytic) = 2.3823992970253007 " " y[1] (numeric) = 2.3823992970253176 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.0833591981718780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2603245374802794 " " Order of pole (three term test) = 22.926885388817276 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6399999999999877 " " y[1] (analytic) = 2.3959952754056166 " " y[1] (numeric) = 2.3959952754056335 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.0431649626043410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2688096129154675 " " Order of pole (three term test) = 22.921593870928213 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6499999999999875 " " y[1] (analytic) = 2.4095516545883866 " " y[1] (numeric) = 2.409551654588404 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 7.1878430790939210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27718716808957006 " " Order of pole (three term test) = 22.916133721111958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6599999999999873 " " y[1] (analytic) = 2.4230670789469895 " " y[1] (numeric) = 2.4230670789470072 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.3310262635082100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28545385209221597 " " Order of pole (three term test) = 22.910507123355632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.669999999999987 " " y[1] (analytic) = 2.4365401969502525 " " y[1] (numeric) = 2.4365401969502707 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 7.4727507580800720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2936063583600262 " " Order of pole (three term test) = 22.90471632822332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.679999999999987 " " y[1] (analytic) = 2.4499696612976027 " " y[1] (numeric) = 2.4499696612976214 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 7.6130521566638150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30164142599919136 " " Order of pole (three term test) = 22.89876365195586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6899999999999866 " " y[1] (analytic) = 2.4633541290537972 " " y[1] (numeric) = 2.463354129053816 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 7.5716871535912630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30955584108978884 " " Order of pole (three term test) = 22.892651475544397 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6999999999999864 " " y[1] (analytic) = 2.476692261783213 " " y[1] (numeric) = 2.476692261783232 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 7.710217501872330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31734643797130657 " " Order of pole (three term test) = 22.886382243777998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.709999999999986 " " y[1] (analytic) = 2.4899827256836926 " " y[1] (numeric) = 2.489982725683712 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 7.8474139727365120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32501010050886553 " " Order of pole (three term test) = 22.87995846426579 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.719999999999986 " " y[1] (analytic) = 2.503224191719922 " " y[1] (numeric) = 2.5032241917199416 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 7.8059030022305800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33254376333963076 " " Order of pole (three term test) = 22.873382706433915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7299999999999858 " " y[1] (analytic) = 2.516415335756331 " " y[1] (numeric) = 2.516415335756351 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 7.9414610773091810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3399444130989184 " " Order of pole (three term test) = 22.866657600497838 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7399999999999856 " " y[1] (analytic) = 2.5295548386895095 " " y[1] (numeric) = 2.5295548386895295 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 7.9002100043840010000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34720908962549735 " " Order of pole (three term test) = 22.859785836410264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7499999999999853 " " y[1] (analytic) = 2.5426413865801125 " " y[1] (numeric) = 2.5426413865801334 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.2088622379526070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35433488714561967 " " Order of pole (three term test) = 22.85277016278521 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.759999999999985 " " y[1] (analytic) = 2.555673670784258 " " y[1] (numeric) = 2.555673670784279 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.1670023452360050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36131895543528575 " " Order of pole (three term test) = 22.845613385798572 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.769999999999985 " " y[1] (analytic) = 2.568650388084384 " " y[1] (numeric) = 2.568650388084406 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.4715192786049980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3681585009602995 " " Order of pole (three term test) = 22.83831836806574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7799999999999847 " " y[1] (analytic) = 2.581570240819576 " " y[1] (numeric) = 2.5815702408195977 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.4291222987389110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3748507879936435 " " Order of pole (three term test) = 22.830888027496535 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7899999999999845 " " y[1] (analytic) = 2.5944319370153264 " " y[1] (numeric) = 2.594431937015348 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.387335575157360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3813931397097344 " " Order of pole (three term test) = 22.823325336128107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7999999999999843 " " y[1] (analytic) = 2.607234190512733 " " y[1] (numeric) = 2.6072341905127554 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.516481017816220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3877829392551149 " " Order of pole (three term test) = 22.81563331893618 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.809999999999984 " " y[1] (analytic) = 2.6199757210971155 " " y[1] (numeric) = 2.619975721097138 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 8.6445647262979630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3940176307951639 " " Order of pole (three term test) = 22.80781505262506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.819999999999984 " " y[1] (analytic) = 2.6326552546260333 " " y[1] (numeric) = 2.632655254626056 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 8.6029303162864750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40009472053639333 " " Order of pole (three term test) = 22.79987366439703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8299999999999836 " " y[1] (analytic) = 2.6452715231566986 " " y[1] (numeric) = 2.645271523156722 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 8.8976605675496360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4060117777239331 " " Order of pole (three term test) = 22.791812330701518 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8399999999999834 " " y[1] (analytic) = 2.6578232650727736 " " y[1] (numeric) = 2.657823265072797 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 8.8556407912280290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4117664356138019 " " Order of pole (three term test) = 22.783634275964502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.849999999999983 " " y[1] (analytic) = 2.670309225210525 " " y[1] (numeric) = 2.670309225210549 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.9805394467049990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4173563924195706 " " Order of pole (three term test) = 22.775342771298828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.859999999999983 " " y[1] (analytic) = 2.682728154984345 " " y[1] (numeric) = 2.682728154984369 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.9389665842021640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4227794122330493 " " Order of pole (three term test) = 22.766941133195832 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.869999999999983 " " y[1] (analytic) = 2.6950788125116043 " " y[1] (numeric) = 2.6950788125116287 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.0627800672705840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4280333259186188 " " Order of pole (three term test) = 22.75843272219873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8799999999999826 " " y[1] (analytic) = 2.707359962736843 " " y[1] (numeric) = 2.707359962736868 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.1856997569187980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4331160319808554 " " Order of pole (three term test) = 22.749820941558465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8899999999999824 " " y[1] (analytic) = 2.7195703775552724 " " y[1] (numeric) = 2.7195703775552977 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.3077513898384510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4380254974051033 " " Order of pole (three term test) = 22.74110923587248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.899999999999982 " " y[1] (analytic) = 2.7317088359355863 " " y[1] (numeric) = 2.731708835935612 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.428960302235881000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4427597584706512 " " Order of pole (three term test) = 22.73230108970689 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.909999999999982 " " y[1] (analytic) = 2.7437741240420626 " " y[1] (numeric) = 2.7437741240420883 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.3874980252961860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4473169215361955 " " Order of pole (three term test) = 22.723400026202725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999999817 " " y[1] (analytic) = 2.7557650353559437 " " y[1] (numeric) = 2.75576503535597 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.5078002097408320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45169516379727137 " " Order of pole (three term test) = 22.71440960566671 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9299999999999815 " " y[1] (analytic) = 2.7676803707960915 " " y[1] (numeric) = 2.767680370796118 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 9.627322891819161000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4558927340153507 " " Order of pole (three term test) = 22.70533342414719 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9399999999999813 " " y[1] (analytic) = 2.779518938838892 " " y[1] (numeric) = 2.779518938838918 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.4265460886188220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45990795321831224 " " Order of pole (three term test) = 22.69617511199574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.949999999999981 " " y[1] (analytic) = 2.7912795556374044 " " y[1] (numeric) = 2.7912795556374315 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.7050264084593960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46373921537201085 " " Order of pole (three term test) = 22.68693833241514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.959999999999981 " " y[1] (analytic) = 2.8029610451397513 " " y[1] (numeric) = 2.8029610451397784 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.6645801938011530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46738498802266776 " " Order of pole (three term test) = 22.677626779994043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9699999999999807 " " y[1] (analytic) = 2.8145622392067158 " " y[1] (numeric) = 2.8145622392067433 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 9.7825269689059020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47084381290983224 " " Order of pole (three term test) = 22.66824417922927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9799999999999804 " " y[1] (analytic) = 2.8260819777285593 " " y[1] (numeric) = 2.8260819777285873 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 9.8997907495382480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4741143065496667 " " Order of pole (three term test) = 22.65879428303603 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9899999999999802 " " y[1] (analytic) = 2.837519108741029 " " y[1] (numeric) = 2.8375191087410574 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.001639401928621900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.477195160788321 " " Order of pole (three term test) = 22.64928087124682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.99999999999998 " " y[1] (analytic) = 2.8488724885405556 " " y[1] (numeric) = 2.848872488540584 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 9.9764764989408570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4800851433251775 " " Order of pole (three term test) = 22.639707749099482 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.00999999999998 " " y[1] (analytic) = 2.860140981798619 " " y[1] (numeric) = 2.8601409817986476 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 9.9371707937735370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4827830982057536 " " Order of pole (three term test) = 22.630078745715256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0199999999999796 " " y[1] (analytic) = 2.8713234616752845 " " y[1] (numeric) = 2.8713234616753134 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.0053133694457471000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48528794628406985 " " Order of pole (three term test) = 22.620397712567105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0299999999999794 " " y[1] (analytic) = 2.882418809931883 " " y[1] (numeric) = 2.882418809931912 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0168504226072818000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48759868565429176 " " Order of pole (three term test) = 22.610668521939196 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.039999999999979 " " y[1] (analytic) = 2.8934259170428347 " " y[1] (numeric) = 2.893425917042864 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0129821426380148000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48971439205148115 " " Order of pole (three term test) = 22.60089506537808 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.049999999999979 " " y[1] (analytic) = 2.9043436823066013 " " y[1] (numeric) = 2.9043436823066306 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0091742250981298000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49163421922128847 " " Order of pole (three term test) = 22.591081252136068 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0599999999999787 " " y[1] (analytic) = 2.9151710139557543 " " y[1] (numeric) = 2.915171013955784 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0206597457752369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4933573992584426 " " Order of pole (three term test) = 22.5812310076076 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0699999999999785 " " y[1] (analytic) = 2.925906829266152 " " y[1] (numeric) = 2.925906829266182 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0169147138364895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4948832429139043 " " Order of pole (three term test) = 22.57134827175915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0799999999999783 " " y[1] (analytic) = 2.9365500546652092 " " y[1] (numeric) = 2.9365500546652394 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.028351831491157000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4962111398705557 " " Order of pole (three term test) = 22.561436997553294 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.089999999999978 " " y[1] (analytic) = 2.947099625839256 " " y[1] (numeric) = 2.9470996258392863 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0246706967432310000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4973405589873193 " " Order of pole (three term test) = 22.55150114936757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.099999999999978 " " y[1] (analytic) = 2.9575544878399658 " " y[1] (numeric) = 2.9575544878399964 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0360639374740194000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.498271048511607 " " Order of pole (three term test) = 22.54154470140877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999999777 " " y[1] (analytic) = 2.967913595189851 " " y[1] (numeric) = 2.9679135951898816 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0324476942090428000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4990022362600153 " " Order of pole (three term test) = 22.531571636123328 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1199999999999775 " " y[1] (analytic) = 2.978175911986809 " " y[1] (numeric) = 2.97817591198684 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0438014948810072000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49953382976719424 " " Order of pole (three term test) = 22.521585942604393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1299999999999772 " " y[1] (analytic) = 2.988340412007713 " " y[1] (numeric) = 2.9883404120077435 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0253903924910424000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4998656164028283 " " Order of pole (three term test) = 22.51159161499621 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.139999999999977 " " y[1] (analytic) = 2.99840607881103 " " y[1] (numeric) = 2.9984060788110605 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0219481509257405000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999974634566877 " " Order of pole (three term test) = 22.501592650896598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.149999999999977 " " y[1] (analytic) = 3.0083719058384677 " " y[1] (numeric) = 3.008371905838499 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0333245244437386000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.499929318191708 " " Order of pole (three term test) = 22.49159304975785 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1599999999999766 " " y[1] (analytic) = 3.018236896515629 " " y[1] (numeric) = 3.0182368965156603 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0299471431613455000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49966120786508705 " " Order of pole (three term test) = 22.48159681128711 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1699999999999764 " " y[1] (analytic) = 3.0280000643516667 " " y[1] (numeric) = 3.028000064351698 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0412923787736277000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49919323971738067 " " Order of pole (three term test) = 22.471607933846478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.179999999999976 " " y[1] (analytic) = 3.0376604330379333 " " y[1] (numeric) = 3.037660433037965 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0379808604157008000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49852560092960857 " " Order of pole (three term test) = 22.46163041285376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.189999999999976 " " y[1] (analytic) = 3.04721703654561 " " y[1] (numeric) = 3.047217036545642 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.0492991712021732000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4976585585483841 " " Order of pole (three term test) = 22.45166823918431 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999999758 " " y[1] (analytic) = 3.05666891922231 " " y[1] (numeric) = 3.0566689192223424 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.060583045654241900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49659245937909924 " " Order of pole (three term test) = 22.44172539757478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2099999999999755 " " y[1] (analytic) = 3.0660151358876426 " " y[1] (numeric) = 3.066015135887675 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0573500417397345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4953277298472071 " " Order of pole (three term test) = 22.431805865029226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2199999999999753 " " y[1] (analytic) = 3.0752547519277296 " " y[1] (numeric) = 3.075254751927762 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0541732290221796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49386487582765776 " " Order of pole (three term test) = 22.42191360922842 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.229999999999975 " " y[1] (analytic) = 3.084386843388666 " " y[1] (numeric) = 3.0843868433886987 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0654500617957535000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4922044824425548 " " Order of pole (three term test) = 22.412052586942785 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.239999999999975 " " y[1] (analytic) = 3.0934104970689167 " " y[1] (numeric) = 3.093410497068949 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0479861094986234000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4903472138271135 " " Order of pole (three term test) = 22.40222674244975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2499999999999747 " " y[1] (analytic) = 3.1023248106106323 " " y[1] (numeric) = 3.102324810610665 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0592895178643874000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48829381286401713 " " Order of pole (three term test) = 22.392440005956118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2599999999999745 " " y[1] (analytic) = 3.111128892589888 " " y[1] (numeric) = 3.111128892589921 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0562918690761107000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4860451008862725 " " Order of pole (three term test) = 22.38269629202598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2699999999999743 " " y[1] (analytic) = 3.1198218626058227 " " y[1] (numeric) = 3.1198218626058556 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0533486518187367000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4836019773486885 " " Order of pole (three term test) = 22.372999498015012 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.279999999999974 " " y[1] (analytic) = 3.128402851368678 " " y[1] (numeric) = 3.1284028513687114 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.0646547877995637000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48096541946810534 " " Order of pole (three term test) = 22.363353502511522 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.289999999999974 " " y[1] (analytic) = 3.136871000786729 " " y[1] (numeric) = 3.136871000786763 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.075937771752170900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47813648183252155 " " Order of pole (three term test) = 22.35376216378509 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2999999999999736 " " y[1] (analytic) = 3.1452254640520914 " " y[1] (numeric) = 3.145225464052125 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.0730798263703037000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47511629597927296 " " Order of pole (three term test) = 22.34422931824334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3099999999999734 " " y[1] (analytic) = 3.1534654057253992 " " y[1] (numeric) = 3.1534654057254334 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.0843584678738181000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47190606994243195 " " Order of pole (three term test) = 22.33475877889737 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.319999999999973 " " y[1] (analytic) = 3.161590001819353 " " y[1] (numeric) = 3.161590001819387 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.0815719033390543000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4685070877696113 " " Order of pole (three term test) = 22.325354333836657 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.329999999999973 " " y[1] (analytic) = 3.1695984398811134 " " y[1] (numeric) = 3.1695984398811476 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.078839159188172000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46492070900836074 " " Order of pole (three term test) = 22.316019744713834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3399999999999728 " " y[1] (analytic) = 3.177489919073547 " " y[1] (numeric) = 3.177489919073582 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1041120026081475000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4611483681623668 " " Order of pole (three term test) = 22.306758745240085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3499999999999726 " " y[1] (analytic) = 3.185263650255312 " " y[1] (numeric) = 3.1852636502553473 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1014173842514698000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45719157411767075 " " Order of pole (three term test) = 22.297575039691722 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3599999999999723 " " y[1] (analytic) = 3.1929188560597686 " " y[1] (numeric) = 3.1929188560598036 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.0987766729984892000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4530519095391342 " " Order of pole (three term test) = 22.288472301428534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.369999999999972 " " y[1] (analytic) = 3.2004547709727142 " " y[1] (numeric) = 3.2004547709727498 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.110065266668563000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4487310302373935 " " Order of pole (three term test) = 22.279454171424423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.379999999999972 " " y[1] (analytic) = 3.207870641408938 " " y[1] (numeric) = 3.207870641408974 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.1213427852581999000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4442306645065587 " " Order of pole (three term test) = 22.270524256811182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999999717 " " y[1] (analytic) = 3.2151657257875774 " " y[1] (numeric) = 3.215165725787613 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1049861754576394000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43955261243291754 " " Order of pole (three term test) = 22.261686129435578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3999999999999715 " " y[1] (analytic) = 3.222339294606272 " " y[1] (numeric) = 3.2223392946063076 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.102526256234788000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4346987451749266 " " Order of pole (three term test) = 22.252943324430724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4099999999999713 " " y[1] (analytic) = 3.2293906305141187 " " y[1] (numeric) = 3.2293906305141546 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.113870389601286900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4296710042147718 " " Order of pole (three term test) = 22.244299338802044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.419999999999971 " " y[1] (analytic) = 3.236319028383403 " " y[1] (numeric) = 3.236319028383439 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.111485786239786000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4244714005818014 " " Order of pole (three term test) = 22.235757630028555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.429999999999971 " " y[1] (analytic) = 3.2431237953801113 " " y[1] (numeric) = 3.2431237953801477 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1228469064171838000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4191020140481414 " " Order of pole (three term test) = 22.22732161467987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4399999999999706 " " y[1] (analytic) = 3.2498042510332144 " " y[1] (numeric) = 3.249804251033251 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.134203834148978000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41356499229681476 " " Order of pole (three term test) = 22.218994667049653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4499999999999704 " " y[1] (analytic) = 3.2563597273027147 " " y[1] (numeric) = 3.2563597273027516 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1319205341016278000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4078625500626957 " " Order of pole (three term test) = 22.210780117805925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.45999999999997 " " y[1] (analytic) = 3.2627895686464474 " " y[1] (numeric) = 3.2627895686464843 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1296899062002992000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4019969682466463 " " Order of pole (three term test) = 22.20268125265886 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.46999999999997 " " y[1] (analytic) = 3.2690931320856365 " " y[1] (numeric) = 3.2690931320856738 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1410960813957033000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39597059300318627 " " Order of pole (three term test) = 22.194701311046533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.47999999999997 " " y[1] (analytic) = 3.2752697872691914 " " y[1] (numeric) = 3.2752697872692287 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1389441496514902000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38978583480206275 " " Order of pole (three term test) = 22.186843484839198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4899999999999696 " " y[1] (analytic) = 3.2813189165367405 " " y[1] (numeric) = 3.2813189165367778 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.136844499917647000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38344516746409335 " " Order of pole (three term test) = 22.17911091706256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4999999999999694 " " y[1] (analytic) = 3.287239914980398 " " y[1] (numeric) = 3.2872399149804354 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1347968080275547000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3769511271716724 " " Order of pole (three term test) = 22.171506700640627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.509999999999969 " " y[1] (analytic) = 3.293032190505254 " " y[1] (numeric) = 3.2930321905052917 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1462864816837294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3703063114543307 " " Order of pole (three term test) = 22.164033877158595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.519999999999969 " " y[1] (analytic) = 3.298695163888583 " " y[1] (numeric) = 3.2986951638886204 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1308560438009975000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36351337814975915 " " Order of pole (three term test) = 22.156695435646203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999999687 " " y[1] (analytic) = 3.304228268837765 " " y[1] (numeric) = 3.304228268837803 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1424023937224145000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3565750443407084 " " Order of pole (three term test) = 22.149494311382227 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5399999999999685 " " y[1] (analytic) = 3.309630952046917 " " y[1] (numeric) = 3.3096309520469545 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1271194331904001000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3494940852681914 " " Order of pole (three term test) = 22.14243338472034 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5499999999999683 " " y[1] (analytic) = 3.3149026732522193 " " y[1] (numeric) = 3.314902673252257 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1387237140275232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34227333322142633 " " Order of pole (three term test) = 22.135515479937084 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.559999999999968 " " y[1] (analytic) = 3.3200429052859453 " " y[1] (numeric) = 3.320042905285983 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1369606934041787000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33491567640495606 " " Order of pole (three term test) = 22.12874336410212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.569999999999968 " " y[1] (analytic) = 3.3250511341291746 " " y[1] (numeric) = 3.3250511341292124 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1352481906159122000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3274240577834069 " " Order of pole (three term test) = 22.122119745971492 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5799999999999677 " " y[1] (analytic) = 3.3299268589631965 " " y[1] (numeric) = 3.3299268589632347 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1469222497876940000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3198014739043401 " " Order of pole (three term test) = 22.11564727490414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5899999999999674 " " y[1] (analytic) = 3.334669592219591 " " y[1] (numeric) = 3.334669592219629 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1452910398143706000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3120509736996746 " " Order of pole (three term test) = 22.109328539802192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5999999999999672 " " y[1] (analytic) = 3.3392788596289846 " " y[1] (numeric) = 3.339278859629023 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.14371017373939000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3041756572661535 " " Order of pole (three term test) = 22.103166068075442 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.609999999999967 " " y[1] (analytic) = 3.343754200268477 " " y[1] (numeric) = 3.3437542002685157 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1554605674619654000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29617867462534675 " " Order of pole (three term test) = 22.097162324630414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.619999999999967 " " y[1] (analytic) = 3.3480951666077337 " " y[1] (numeric) = 3.3480951666077727 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1672263935795152000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28806322446368665 " " Order of pole (three term test) = 22.091319710884427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6299999999999666 " " y[1] (analytic) = 3.352301324553739 " " y[1] (numeric) = 3.3523013245537783 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1657618657537548000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27983255285303255 " " Order of pole (three term test) = 22.0856405638051 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6399999999999664 " " y[1] (analytic) = 3.356372253494203 " " y[1] (numeric) = 3.3563722534942424 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1775791447301047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2714899519522888 " " Order of pole (three term test) = 22.08012715497553 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.649999999999966 " " y[1] (analytic) = 3.3603075463396244 " " y[1] (numeric) = 3.3603075463396634 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1629843378286939000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2630387586905814 " " Order of pole (three term test) = 22.074781689685732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.659999999999966 " " y[1] (analytic) = 3.3641068095639968 " " y[1] (numeric) = 3.3641068095640363 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1748717241762623000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2544823534325349 " " Order of pole (three term test) = 22.06960630605057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6699999999999657 " " y[1] (analytic) = 3.3677696632441654 " " y[1] (numeric) = 3.3677696632442045 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1604074617490310000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24582415862616733 " " Order of pole (three term test) = 22.064603074154466 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6799999999999655 " " y[1] (analytic) = 3.3712957410978133 " " y[1] (numeric) = 3.371295741097853 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1723664345088033000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23706763743396198 " " Order of pole (three term test) = 22.059773995223505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6899999999999653 " " y[1] (analytic) = 3.3746846905200947 " " y[1] (numeric) = 3.3746846905201338 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.158029684272004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22821629234764232 " " Order of pole (three term test) = 22.05512100082484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.699999999999965 " " y[1] (analytic) = 3.3779361726188903 " " y[1] (numeric) = 3.3779361726189294 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1569150057831666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2192736637872265 " " Order of pole (three term test) = 22.0506459520942 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.709999999999965 " " y[1] (analytic) = 3.3810498622487 " " y[1] (numeric) = 3.3810498622487395 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1689842293650358000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2102433286849065 " " Order of pole (three term test) = 22.046350638991427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999999647 " " y[1] (analytic) = 3.384025448043157 " " y[1] (numeric) = 3.3840254480431957 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1417101274843228000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2011288990543189 " " Order of pole (three term test) = 22.04223677958447 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7299999999999645 " " y[1] (analytic) = 3.3868626324461593 " " y[1] (numeric) = 3.3868626324461983 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.153865825334053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19193402054579284 " " Order of pole (three term test) = 22.038306019362256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7399999999999642 " " y[1] (analytic) = 3.3895611317416328 " " y[1] (numeric) = 3.3895611317416714 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1398455362008332000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18266237098813443 " " Order of pole (three term test) = 22.03455993057646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.749999999999964 " " y[1] (analytic) = 3.3921206760818956 " " y[1] (numeric) = 3.3921206760819342 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1389854591370874000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17331765891754658 " " Order of pole (three term test) = 22.03100001161264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.759999999999964 " " y[1] (analytic) = 3.394541009514647 " " y[1] (numeric) = 3.3945410095146857 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1381733538838468000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1639036220942633 " " Order of pole (three term test) = 22.027627686390932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7699999999999636 " " y[1] (analytic) = 3.3968218900085603 " " y[1] (numeric) = 3.3968218900085994 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1504827668991213000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15442402600749436 " " Order of pole (three term test) = 22.024444303796457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7799999999999634 " " y[1] (analytic) = 3.3989630894774874 " " y[1] (numeric) = 3.3989630894775265 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1497580126065193000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14488266236928252 " " Order of pole (three term test) = 22.021451137139803 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.789999999999963 " " y[1] (analytic) = 3.400964393803265 " " y[1] (numeric) = 3.4009643938033043 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1490814351955886000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13528334759786537 " " Order of pole (three term test) = 22.018649383647727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.799999999999963 " " y[1] (analytic) = 3.4028256028571295 " " y[1] (numeric) = 3.402825602857168 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1354023322416386000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12562992129116352 " " Order of pole (three term test) = 22.01604016398427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999999627 " " y[1] (analytic) = 3.404546530519725 " " y[1] (numeric) = 3.404546530519764 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.147872414621977000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11592624469098835 " " Order of pole (three term test) = 22.013624521802505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8199999999999625 " " y[1] (analytic) = 3.4061270046997203 " " y[1] (numeric) = 3.4061270046997594 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1473397912903352000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1061761991385995 " " Order of pole (three term test) = 22.0114034233271 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8299999999999623 " " y[1] (analytic) = 3.407566867351014 " " y[1] (numeric) = 3.4075668673510533 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1468549844536297000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.63836845222189500E-2 " " Order of pole (three term test) = 22.00937775696783 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.839999999999962 " " y[1] (analytic) = 3.408865974488542 " " y[1] (numeric) = 3.4088659744885805 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1333904455645917000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.6552617717127800E-2 " " Order of pole (three term test) = 22.007548332964223 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.849999999999962 " " y[1] (analytic) = 3.410024196202671 " " y[1] (numeric) = 3.41002419620271 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1460285387512495000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.66869310189699500E-2 " " Order of pole (three term test) = 22.005915883061505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8599999999999617 " " y[1] (analytic) = 3.4110414166721967 " " y[1] (numeric) = 3.4110414166722354 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1326676090215403000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.67905705708826100E-2 " " Order of pole (three term test) = 22.00448106021786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8699999999999615 " " y[1] (analytic) = 3.411917534175919 " " y[1] (numeric) = 3.4119175341759576 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1323767608670282000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.68674947850971000E-2 " " Order of pole (three term test) = 22.003244438343295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8799999999999613 " " y[1] (analytic) = 3.4126524611028173 " " y[1] (numeric) = 3.4126524611028564 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.145145921310037000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.69216727596198600E-2 " " Order of pole (three term test) = 22.002206512070078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.889999999999961 " " y[1] (analytic) = 3.4132461239608127 " " y[1] (numeric) = 3.4132461239608514 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1319359886102084000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.69570826906526500E-2 " " Order of pole (three term test) = 22.00136769655487 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.899999999999961 " " y[1] (analytic) = 3.4136984633841125 " " y[1] (numeric) = 3.413698463384151 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1317859990086686000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.697771028136382600E-2 " " Order of pole (three term test) = 22.0007283273127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9099999999999606 " " y[1] (analytic) = 3.4140094341391523 " " y[1] (numeric) = 3.414009434139191 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.131682908389429000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.698754714766073400E-2 " " Order of pole (three term test) = 22.00028866008274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9199999999999604 " " y[1] (analytic) = 3.414179005129115 " " y[1] (numeric) = 3.414179005129154 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1316267014387064000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.990589221596032000E-3 " " Order of pole (three term test) = 22.00004887072601 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.92999999999996 " " y[1] (analytic) = 3.414207159397044 " " y[1] (numeric) = 3.4142071593970824 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1316173698077128000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.009164846950696000E-3 " " Order of pole (three term test) = 22.000009055155072 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.93999999999996 " " y[1] (analytic) = 3.414093894127535 " " y[1] (numeric) = 3.4140938941275736 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1316549121103989000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.300771528968030500E-2 " " Order of pole (three term test) = 22.000169229295615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9499999999999598 " " y[1] (analytic) = 3.413839220647021 " " y[1] (numeric) = 3.4138392206470596 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1317393339230795000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.30010628197280400E-2 " " Order of pole (three term test) = 22.000529329080116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9599999999999596 " " y[1] (analytic) = 3.4134431644226377 " " y[1] (numeric) = 3.4134431644226764 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1318706477859415000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.29852102313249200E-2 " " Order of pole (three term test) = 22.001089210473467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9699999999999593 " " y[1] (analytic) = 3.4129057650596777 " " y[1] (numeric) = 3.4129057650597163 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.132048873206432100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.29561639986253130E-2 " " Order of pole (three term test) = 22.001848649530558 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.979999999999959 " " y[1] (analytic) = 3.412227076297629 " " y[1] (numeric) = 3.412227076297668 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1452886807641287000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.29099358730683800E-2 " " Order of pole (three term test) = 22.002807342485927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.989999999999959 " " y[1] (analytic) = 3.4114071660048024 " " y[1] (numeric) = 3.4114071660048415 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1455639437075187000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.28425444786178100E-2 " " Order of pole (three term test) = 22.003964905875147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999999587 " " y[1] (analytic) = 3.4104461161715443 " " y[1] (numeric) = 3.4104461161715833 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1458867589638179000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.275001690426599E-2 " " Order of pole (three term test) = 22.0053208766883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.009999999999959 " " y[1] (analytic) = 3.409344022902037 " " y[1] (numeric) = 3.4093440229020757 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1332315248159863000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.26283902931399600E-2 " " Order of pole (three term test) = 22.006874712555152 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.019999999999959 " " y[1] (analytic) = 3.4081009964046887 " " y[1] (numeric) = 3.4081009964047273 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1336448449653783000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.24737134275932400E-2 " " Order of pole (three term test) = 22.00862579196206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.0299999999999585 " " y[1] (analytic) = 3.4067171609811133 " " y[1] (numeric) = 3.4067171609811524 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1471410340255765000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10228204830964213 " " Order of pole (three term test) = 22.010573414500616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.039999999999958 " " y[1] (analytic) = 3.4051926550137006 " " y[1] (numeric) = 3.4051926550137397 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.147654609476076000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11204947173610912 " " Order of pole (three term test) = 22.012716801147775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999958 " " y[1] (analytic) = 3.403527630951777 " " y[1] (numeric) = 3.4035276309518157 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1351681386571020000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12177207686785514 " " Order of pole (three term test) = 22.01505509457745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.059999999999958 " " y[1] (analytic) = 3.4017222552963595 " " y[1] (numeric) = 3.4017222552963986 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1488254341153100000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13144597479245995 " " Order of pole (three term test) = 22.01758735950344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.069999999999958 " " y[1] (analytic) = 3.399776708583511 " " y[1] (numeric) = 3.39977670858355 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.149482857745907900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1410672960797373 " " Order of pole (three term test) = 22.02031258305355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.079999999999957 " " y[1] (analytic) = 3.3976911853662815 " " y[1] (numeric) = 3.39769118536632 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1371180942917389000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1506321923294548 " " Order of pole (three term test) = 22.023229675174704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999957 " " y[1] (analytic) = 3.395465894195253 " " y[1] (numeric) = 3.395465894195292 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1509422177856297000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1601368377106436 " " Order of pole (three term test) = 22.026337469068928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999957 " " y[1] (analytic) = 3.39310105759769 " " y[1] (numeric) = 3.393101057597729 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1517443719897333000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16957743049187682 " " Order of pole (three term test) = 22.029634721660102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999957 " " y[1] (analytic) = 3.3905969120552806 " " y[1] (numeric) = 3.3905969120553197 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1525949996549854000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17895019456191608 " " Order of pole (three term test) = 22.03312011409116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999957 " " y[1] (analytic) = 3.387953707980493 " " y[1] (numeric) = 3.3879537079805315 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1403863389852993000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18825138094010122 " " Order of pole (three term test) = 22.0367922522516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.129999999999956 " " y[1] (analytic) = 3.385171709691531 " " y[1] (numeric) = 3.3851717096915697 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1413235300987455000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19747726927589546 " " Order of pole (three term test) = 22.04064966733512 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999956 " " y[1] (analytic) = 3.382251195385906 " " y[1] (numeric) = 3.382251195385945 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1554390318530615000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20662416933697406 " " Order of pole (three term test) = 22.044690816427117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.149999999999956 " " y[1] (analytic) = 3.379192457112615 " " y[1] (numeric) = 3.3791924571126533 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1302011510684610000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21568842248527037 " " Order of pole (three term test) = 22.048914083121833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.159999999999956 " " y[1] (analytic) = 3.3759958007429356 " " y[1] (numeric) = 3.375995800742974 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1312713137469178000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2246664031403799 " " Order of pole (three term test) = 22.053317778168907 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.1699999999999555 " " y[1] (analytic) = 3.372661545939841 " " y[1] (numeric) = 3.3726615459398794 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.145557024643249000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23355452022974482 " " Order of pole (three term test) = 22.057900140149027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999955 " " y[1] (analytic) = 3.3691900261260335 " " y[1] (numeric) = 3.3691900261260717 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1335564854149524000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24234921862503708 " " Order of pole (three term test) = 22.062659336178502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.189999999999955 " " y[1] (analytic) = 3.3655815884506013 " " y[1] (numeric) = 3.3655815884506395 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.134771837894666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25104698056415914 " " Order of pole (three term test) = 22.067593462642368 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999955 " " y[1] (analytic) = 3.3618365937543047 " " y[1] (numeric) = 3.361836593754343 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1360359429146179000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25964432705830426 " " Order of pole (three term test) = 22.07270054595584 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.209999999999955 " " y[1] (analytic) = 3.357955416533493 " " y[1] (numeric) = 3.357955416533531 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1241240027011185000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26813781928350355 " " Order of pole (three term test) = 22.077978543353673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.2199999999999545 " " y[1] (analytic) = 3.3539384449026537 " " y[1] (numeric) = 3.3539384449026914 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1254703524635176000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2765240599561133 " " Order of pole (three term test) = 22.08342534370729 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999954 " " y[1] (analytic) = 3.3497860805556026 " " y[1] (numeric) = 3.34978608055564 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1136082343866575000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28479969469167854 " " Order of pole (three term test) = 22.089038768369168 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999954 " " y[1] (analytic) = 3.345498738725313 " " y[1] (numeric) = 3.3454987387253508 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1283095820755781000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2929614133466463 " " Order of pole (three term test) = 22.094816572044298 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.249999999999954 " " y[1] (analytic) = 3.3410768481423974 " " y[1] (numeric) = 3.341076848142434 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1032192940443328000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30100595134237523 " " Order of pole (three term test) = 22.100756443688226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999954 " " y[1] (analytic) = 3.336520850992227 " " y[1] (numeric) = 3.336520850992264 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1047257326922987000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3089300909709262 " " Order of pole (three term test) = 22.106856007431507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.269999999999953 " " y[1] (analytic) = 3.3318312028707213 " " y[1] (numeric) = 3.331831202870758 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.106280665893186900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31673066268210154 " " Order of pole (three term test) = 22.113112823529963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.279999999999953 " " y[1] (analytic) = 3.327008372738784 " " y[1] (numeric) = 3.327008372738821 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1078843299457236000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3244045463512237 " " Order of pole (three term test) = 22.11952438934058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.289999999999953 " " y[1] (analytic) = 3.3220528428754097 " " y[1] (numeric) = 3.3220528428754466 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.109536968883718000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33194867252714166 " " Order of pole (three term test) = 22.126088140322516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.299999999999953 " " y[1] (analytic) = 3.316965108829455 " " y[1] (numeric) = 3.3169651088294914 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.097850414849735000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33936002365997175 " " Order of pole (three term test) = 22.13280145106291 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3099999999999525 " " y[1] (analytic) = 3.3117456793700843 " " y[1] (numeric) = 3.3117456793701208 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.0995806663098467000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3466356353080779 " " Order of pole (three term test) = 22.139661636326956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.319999999999952 " " y[1] (analytic) = 3.3063950764358943 " " y[1] (numeric) = 3.3063950764359307 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1013600724012320000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3537725973238078 " " Order of pole (three term test) = 22.14666595213203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.329999999999952 " " y[1] (analytic) = 3.3009138350827194 " " y[1] (numeric) = 3.3009138350827563 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1166424287058531000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3607680550175134 " " Order of pole (three term test) = 22.153811596845188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.339999999999952 " " y[1] (analytic) = 3.295302503430128 " " y[1] (numeric) = 3.2953025034301646 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1050674458505678000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36761921029938815 " " Order of pole (three term test) = 22.161095712303823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.349999999999952 " " y[1] (analytic) = 3.2895616426066088 " " y[1] (numeric) = 3.289561642606645 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.106995981958559100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3743233227986676 " " Order of pole (three term test) = 22.168515384958873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3599999999999515 " " y[1] (analytic) = 3.28369182669346 " " y[1] (numeric) = 3.283691826693496 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.0954507273015503000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3808777109597385 " " Order of pole (three term test) = 22.176067647040206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.369999999999951 " " y[1] (analytic) = 3.2776936426673813 " " y[1] (numeric) = 3.2776936426674173 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.0974554036899481000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38727975311472723 " " Order of pole (three term test) = 22.183749477743678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.379999999999951 " " y[1] (analytic) = 3.271567690341777 " " y[1] (numeric) = 3.2715676903418127 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.0859361673269712000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3935268885321317 " " Order of pole (three term test) = 22.191557804439444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.389999999999950 " " y[1] (analytic) = 3.265314582306775 " " y[1] (numeric) = 3.2653145823068104 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.0880157452672427000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39961661844107804 " " Order of pole (three term test) = 22.199489503900914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.399999999999950 " " y[1] (analytic) = 3.258934943867968 " " y[1] (numeric) = 3.258934943868003 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.0765188069853135000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40554650703079886 " " Order of pole (three term test) = 22.207541403554078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.40999999999995 " " y[1] (analytic) = 3.252429412983882 " " y[1] (numeric) = 3.2524294129839175 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.0923261438412367000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.411314182424922 " " Order of pole (three term test) = 22.21571028274642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.41999999999995 " " y[1] (analytic) = 3.245798640202186 " " y[1] (numeric) = 3.245798640202221 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.0808756631917735000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41691733763019095 " " Order of pole (three term test) = 22.22399287403519 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.42999999999995 " " y[1] (analytic) = 3.239043288594632 " " y[1] (numeric) = 3.239043288594667 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.0831299384509588000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4223537314592318 " " Order of pole (three term test) = 22.2323858644943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.43999999999995 " " y[1] (analytic) = 3.2321640336907507 " " y[1] (numeric) = 3.2321640336907858 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.0854352443893216000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4276211894269967 " " Order of pole (three term test) = 22.24088589703947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4499999999999496 " " y[1] (analytic) = 3.225161563410301 " " y[1] (numeric) = 3.2251615634103357 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.0740224229783232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4327176046205307 " " Order of pole (three term test) = 22.249489571771015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.459999999999950 " " y[1] (analytic) = 3.218036577994474 " " y[1] (numeric) = 3.218036577994509 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.0764003928722392000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4376409385417078 " " Order of pole (three term test) = 22.25819344733376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999950 " " y[1] (analytic) = 3.210789789935875 " " y[1] (numeric) = 3.2107897899359097 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.0788298404610502000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4423892219226028 " " Order of pole (three term test) = 22.266994042293515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.479999999999949 " " y[1] (analytic) = 3.2034219239072708 " " y[1] (numeric) = 3.203421923907305 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.0674481841825796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44696055551317304 " " Order of pole (three term test) = 22.275887836529662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.489999999999949 " " y[1] (analytic) = 3.195933716689124 " " y[1] (numeric) = 3.195933716689158 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.05605381527028000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45135311084093266 " " Order of pole (three term test) = 22.284871272643066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4999999999999485 " " y[1] (analytic) = 3.1883259170959164 " " y[1] (numeric) = 3.18832591709595 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.0585737100348457000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45556513094231726 " " Order of pole (three term test) = 22.293940757379076 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999948 " " y[1] (analytic) = 3.1805992859012675 " " y[1] (numeric) = 3.180599285901301 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.0471828653925129000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4595949310654456 " " Order of pole (three term test) = 22.30309266306471 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.519999999999948 " " y[1] (analytic) = 3.1727545957618575 " " y[1] (numeric) = 3.1727545957618912 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.0637690035557369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46344089934399857 " " Order of pole (three term test) = 22.312323329059726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999948 " " y[1] (analytic) = 3.1647926311401644 " " y[1] (numeric) = 3.1647926311401977 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.0524130526288372000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4671014974419434 " " Order of pole (three term test) = 22.321629063220783 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.539999999999948 " " y[1] (analytic) = 3.1567141882260135 " " y[1] (numeric) = 3.156714188226047 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.0691743989522147000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4705752611688485 " " Order of pole (three term test) = 22.331006143378318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.549999999999947 " " y[1] (analytic) = 3.1485200748569664 " " y[1] (numeric) = 3.1485200748569993 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0437475622701100000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47386080106553924 " " Order of pole (three term test) = 22.34045081882527 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.559999999999947 " " y[1] (analytic) = 3.14021111043753 " " y[1] (numeric) = 3.1402111104375625 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0323672892978733000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47695680295986354 " " Order of pole (three term test) = 22.34995931181741 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.569999999999947 " " y[1] (analytic) = 3.1317881258572227 " " y[1] (numeric) = 3.131788125857255 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.035143854445169000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47986202849234316 " " Order of pole (three term test) = 22.3595278190843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999947 " " y[1] (analytic) = 3.123251963407483 " " y[1] (numeric) = 3.1232519634075153 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0379730069451655000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4825753156115008 " " Order of pole (three term test) = 22.369152513350613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999947 " " y[1] (analytic) = 3.114603476697443 " " y[1] (numeric) = 3.114603476697475 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.026596911883899000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4850955790386658 " " Order of pole (three term test) = 22.37882954486699 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.599999999999946 " " y[1] (analytic) = 3.1058435305685665 " " y[1] (numeric) = 3.105843530568598 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0151938946384204000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48742181070206986 " " Order of pole (three term test) = 22.38855504294982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.609999999999946 " " y[1] (analytic) = 3.096973001008166 " " y[1] (numeric) = 3.0969730010081977 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.018101671828921000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48955308014006416 " " Order of pole (three term test) = 22.39832511752957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999946 " " y[1] (analytic) = 3.087992775061806 " " y[1] (numeric) = 3.0879927750618377 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0210624245622908000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49148853487328975 " " Order of pole (three term test) = 22.408135860706654 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.629999999999946 " " y[1] (analytic) = 3.0789037507445975 " " y[1] (numeric) = 3.078903750744629 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0240766341503595000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49322740074565913 " " Order of pole (three term test) = 22.417983348314618 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.6399999999999455 " " y[1] (analytic) = 3.069706836951398 " " y[1] (numeric) = 3.0697068369514295 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0271447918025944000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4947689822340079 " " Order of pole (three term test) = 22.42786364148972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999945 " " y[1] (analytic) = 3.060402953365923 " " y[1] (numeric) = 3.060402953365954 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0157565903311783000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49611266272629484 " " Order of pole (three term test) = 22.43777278824642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.659999999999945 " " y[1] (analytic) = 3.050993030368777 " " y[1] (numeric) = 3.050993030368808 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0188894035509138000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49725790476823867 " " Order of pole (three term test) = 22.447706825058127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999945 " " y[1] (analytic) = 3.041478008944419 " " y[1] (numeric) = 3.0414780089444498 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0074758189781896000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4982042502782923 " " Order of pole (three term test) = 22.45766177844258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.679999999999945 " " y[1] (analytic) = 3.031858840587062 " " y[1] (numeric) = 3.0318588405870925 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0106722341242327000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4989513207308691 " " Order of pole (three term test) = 22.467633666551162 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.689999999999944 " " y[1] (analytic) = 3.022136487205526 " " y[1] (numeric) = 3.022136487205556 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 9.9922906849675270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49949881730774925 " " Order of pole (three term test) = 22.477618500761572 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.699999999999944 " " y[1] (analytic) = 3.0123119210270466 " " y[1] (numeric) = 3.012311921027077 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.002488024530615000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4998465210176018 " " Order of pole (three term test) = 22.48761228727326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999944 " " y[1] (analytic) = 3.0023861245000556 " " y[1] (numeric) = 3.0023861245000854 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 9.9101101011478680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999942927835788 " " Order of pole (three term test) = 22.497611028704874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.719999999999944 " " y[1] (analytic) = 2.992360090195933 " " y[1] (numeric) = 2.992360090195963 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 9.9433143616101280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999420734989439 " " Order of pole (three term test) = 22.50761072569315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999944 " " y[1] (analytic) = 2.982234820709755 " " y[1] (numeric) = 2.9822348207097846 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 9.9770738552616460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.499689884050715 " " Order of pole (three term test) = 22.517607378492638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.739999999999943 " " y[1] (analytic) = 2.9720113285600323 " " y[1] (numeric) = 2.9720113285600616 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 9.8619704334387760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49923782531130867 " " Order of pole (three term test) = 22.52759698857548 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.749999999999943 " " y[1] (analytic) = 2.9616906360874604 " " y[1] (numeric) = 2.9616906360874893 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 9.7463922425021440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49858607809819355 " " Order of pole (three term test) = 22.53757556023085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.759999999999943 " " y[1] (analytic) = 2.9512737753526856 " " y[1] (numeric) = 2.9512737753527145 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 9.7807932565675050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4977349031015649 " " Order of pole (three term test) = 22.547539102163125 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999943 " " y[1] (analytic) = 2.9407617880331016 " " y[1] (numeric) = 2.94076178803313 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 9.6647438585678770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49668464078007235 " " Order of pole (three term test) = 22.557483629088384 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.7799999999999425 " " y[1] (analytic) = 2.9301557253186794 " " y[1] (numeric) = 2.930155725318708 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 9.6997265997911790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4954357112246414 " " Order of pole (three term test) = 22.567405163328438 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.789999999999942 " " y[1] (analytic) = 2.919456647806853 " " y[1] (numeric) = 2.919456647806881 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 9.583160017659870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4939886139904421 " " Order of pole (three term test) = 22.577299736401894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.799999999999942 " " y[1] (analytic) = 2.908665625396457 " " y[1] (numeric) = 2.9086656253964844 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 9.4660351366276430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49234392789707365 " " Order of pole (three term test) = 22.58716339061143 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.809999999999942 " " y[1] (analytic) = 2.89778373718074 " " y[1] (numeric) = 2.8977837371807675 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 9.501582418807869000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4905023107970444 " " Order of pole (three term test) = 22.596992180626895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.819999999999942 " " y[1] (analytic) = 2.8868120713394556 " " y[1] (numeric) = 2.886812071339483 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 9.5376942905495620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48846449931264013 " " Order of pole (three term test) = 22.60678217506331 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.8299999999999415 " " y[1] (analytic) = 2.875751725030045 " " y[1] (numeric) = 2.875751725030072 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.4199515087036220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4862313085412838 " " Order of pole (three term test) = 22.61652945805345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.839999999999941 " " y[1] (analytic) = 2.864603804277922 " " y[1] (numeric) = 2.864603804277949 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.4566102860015680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48380363172950885 " " Order of pole (three term test) = 22.62623013081407 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.849999999999941 " " y[1] (analytic) = 2.853369423865872 " " y[1] (numeric) = 2.8533694238658986 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 9.3382063914119630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4811824399156711 " " Order of pole (three term test) = 22.635880313205416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.859999999999940 " " y[1] (analytic) = 2.842049707222574 " " y[1] (numeric) = 2.8420497072226008 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 9.3753999176331220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4783687815415474 " " Order of pole (three term test) = 22.645476145283183 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.869999999999940 " " y[1] (analytic) = 2.83064578631026 " " y[1] (numeric) = 2.8306457863102863 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.2562847346954610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4753637820329723 " " Order of pole (three term test) = 22.6550137888425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.87999999999994 " " y[1] (analytic) = 2.8191588015115174 " " y[1] (numeric) = 2.819158801511543 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.1364750923196270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4721686433496835 " " Order of pole (three term test) = 22.664489428953107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.88999999999994 " " y[1] (analytic) = 2.8075899015152532 " " y[1] (numeric) = 2.807589901515279 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.1741226727601880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4687846435045527 " " Order of pole (three term test) = 22.673899275485287 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.89999999999994 " " y[1] (analytic) = 2.7959402432018274 " " y[1] (numeric) = 2.7959402432018527 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.0535142955937350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46521313605239867 " " Order of pole (three term test) = 22.6832395646259 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.90999999999994 " " y[1] (analytic) = 2.7842109915273623 " " y[1] (numeric) = 2.7842109915273876 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.0916547052230830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.461455549548583 " " Order of pole (three term test) = 22.692506560383837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9199999999999395 " " y[1] (analytic) = 2.7724033194072515 " " y[1] (numeric) = 2.772403319407277 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.1303760835438570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4575133869776063 " " Order of pole (three term test) = 22.701696556084332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.929999999999940 " " y[1] (analytic) = 2.760518407598868 " " y[1] (numeric) = 2.7605184075988927 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.0088135920944130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4533882251519358 " " Order of pole (three term test) = 22.71080587585164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999939 " " y[1] (analytic) = 2.748557444583487 " " y[1] (numeric) = 2.7485574445835117 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.0480174611639330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4490817140813002 " " Order of pole (three term test) = 22.71983087607932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999939 " " y[1] (analytic) = 2.7365216264474435 " " y[1] (numeric) = 2.7365216264474683 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.0878126126444970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44459557631270846 " " Order of pole (three term test) = 22.728767946887604 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.959999999999939 " " y[1] (analytic) = 2.7244121567625217 " " y[1] (numeric) = 2.724412156762546 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 8.9652024496829770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43993160624145355 " " Order of pole (three term test) = 22.73761351356733 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9699999999999385 " " y[1] (analytic) = 2.712230246465598 " " y[1] (numeric) = 2.7122302464656225 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.0054694189707500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43509166939337895 " " Order of pole (three term test) = 22.746364038009784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.979999999999938 " " y[1] (analytic) = 2.6999771137375514 " " y[1] (numeric) = 2.6999771137375754 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.8818594831372390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4300777016786916 " " Order of pole (three term test) = 22.755016020121822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.989999999999938 " " y[1] (analytic) = 2.687653983881443 " " y[1] (numeric) = 2.687653983881467 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.9225835898975660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42489170861762565 " " Order of pole (three term test) = 22.763565999225992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.999999999999938 " " y[1] (analytic) = 2.6752620891999896 " " y[1] (numeric) = 2.6752620892000136 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.963913266185670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41953576453826014 " " Order of pole (three term test) = 22.772010555444634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.009999999999938 " " y[1] (analytic) = 2.6628026688723327 " " y[1] (numeric) = 2.6628026688723567 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 9.0058559773259470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41401201174681473 " " Order of pole (three term test) = 22.78034631106786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.019999999999937 " " y[1] (analytic) = 2.650276968830122 " " y[1] (numeric) = 2.650276968830146 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 9.0484193214299880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4083226596707574 " " Order of pole (three term test) = 22.788569931904558 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.029999999999937 " " y[1] (analytic) = 2.6376862416329248 " " y[1] (numeric) = 2.6376862416329483 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 8.9232478641896120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40246998397506084 " " Order of pole (three term test) = 22.796678128616033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.039999999999937 " " y[1] (analytic) = 2.625031746342967 " " y[1] (numeric) = 2.6250317463429904 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 8.9662641813163760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3964563256519695 " " Order of pole (three term test) = 22.80466765803173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.049999999999937 " " y[1] (analytic) = 2.6123147483992333 " " y[1] (numeric) = 2.6123147483992564 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 8.8399144576103990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3902840900846313 " " Order of pole (three term test) = 22.812535324446387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.0599999999999365 " " y[1] (analytic) = 2.59953651949092 " " y[1] (numeric) = 2.5995365194909428 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 8.712533766130190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38395574608497773 " " Order of pole (three term test) = 22.820277980898357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.069999999999936 " " y[1] (analytic) = 2.58669833743027 " " y[1] (numeric) = 2.5866983374302923 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.5840935416388500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3774738249062317 " " Order of pole (three term test) = 22.82789253042828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.079999999999936 " " y[1] (analytic) = 2.5738014860247906 " " y[1] (numeric) = 2.5738014860248124 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.4545647365608360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37084091923044055 " " Order of pole (three term test) = 22.835375927317873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.089999999999936 " " y[1] (analytic) = 2.560847254948875 " " y[1] (numeric) = 2.5608472549488965 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 8.3239178094706650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3640596821314369 " " Order of pole (three term test) = 22.842725178308157 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.099999999999936 " " y[1] (analytic) = 2.547836939614836 " " y[1] (numeric) = 2.547836939614857 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.1921227133586720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.357132826013645 " " Order of pole (three term test) = 22.849937343796725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.1099999999999355 " " y[1] (analytic) = 2.534771841043364 " " y[1] (numeric) = 2.534771841043385 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.2343477724454760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35006312152715496 " " Order of pole (three term test) = 22.85700953901355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.119999999999935 " " y[1] (analytic) = 2.5216532657334296 " " y[1] (numeric) = 2.5216532657334505 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.2771859028295910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34285339645950047 " " Order of pole (three term test) = 22.863938935174826 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.129999999999935 " " y[1] (analytic) = 2.508482525531632 " " y[1] (numeric) = 2.5084825255316523 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.1436101089735410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3355065346045797 " " Order of pole (three term test) = 22.870722760614488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.139999999999935 " " y[1] (analytic) = 2.4952609375010146 " " y[1] (numeric) = 2.495260937501035 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.186760489089959000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3280254746091778 " " Order of pole (three term test) = 22.87735830189281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.149999999999935 " " y[1] (analytic) = 2.4819898237893634 " " y[1] (numeric) = 2.481989823789384 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.2305348141655120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3204132087975471 " " Order of pole (three term test) = 22.88384290488175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.159999999999934 " " y[1] (analytic) = 2.4686705114969905 " " y[1] (numeric) = 2.4686705114970104 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 8.0950513040051670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3126727819745164 " " Order of pole (three term test) = 22.890173975826578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.169999999999934 " " y[1] (analytic) = 2.455304332544025 " " y[1] (numeric) = 2.4553043325440447 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 7.9582498081436480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3048072902076108 " " Order of pole (three term test) = 22.89634898238332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.179999999999934 " " y[1] (analytic) = 2.4418926235372242 " " y[1] (numeric) = 2.4418926235372433 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 7.8200965265586730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29681987958866507 " " Order of pole (three term test) = 22.902365454631692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.189999999999934 " " y[1] (analytic) = 2.4284367256363124 " " y[1] (numeric) = 2.428436725636331 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 7.6805570500567170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28871374497542984 " " Order of pole (three term test) = 22.90822098606302 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.199999999999934 " " y[1] (analytic) = 2.414937984419866 " " y[1] (numeric) = 2.414937984419885 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 7.7234889401034810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2804921287136697 " " Order of pole (three term test) = 22.913913234542793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.209999999999933 " " y[1] (analytic) = 2.4013977497507586 " " y[1] (numeric) = 2.401397749750777 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 7.5821082141608330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27215831934026896 " " Order of pole (three term test) = 22.91943992324752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.219999999999933 " " y[1] (analytic) = 2.387817375641173 " " y[1] (numeric) = 2.3878173756411907 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.4392491549872650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2637156502678614 " " Order of pole (three term test) = 22.9247988415754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.229999999999933 " " y[1] (analytic) = 2.374198220117203 " " y[1] (numeric) = 2.3741982201172207 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.4819230523749610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25516749845150843 " " Order of pole (three term test) = 22.929987846030553 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.239999999999933 " " y[1] (analytic) = 2.3605416450830523 " " y[1] (numeric) = 2.3605416450830696 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 7.3370784286854130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24651728303796308 " " Order of pole (three term test) = 22.9350048610804 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.2499999999999325 " " y[1] (analytic) = 2.346849016184844 " " y[1] (numeric) = 2.3468490161848607 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.1906585630020060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23776846399805585 " " Order of pole (three term test) = 22.939847879985805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.259999999999932 " " y[1] (analytic) = 2.3331217026740565 " " y[1] (numeric) = 2.3331217026740734 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.2329660107147520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2289245407427532 " " Order of pole (three term test) = 22.944514965603773 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.269999999999932 " " y[1] (analytic) = 2.319361077270603 " " y[1] (numeric) = 2.319361077270619 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.8929377625909880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21998905072343955 " " Order of pole (three term test) = 22.94900425116228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.279999999999932 " " y[1] (analytic) = 2.305568516025555 " " y[1] (numeric) = 2.305568516025571 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.9341732607286580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21096556801698563 " " Order of pole (three term test) = 22.95331394100697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.289999999999932 " " y[1] (analytic) = 2.291745398183544 " " y[1] (numeric) = 2.2917453981835596 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 6.7822203797471550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20185770189616087 " " Order of pole (three term test) = 22.957442311319358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.299999999999931 " " y[1] (analytic) = 2.2778931060448353 " " y[1] (numeric) = 2.2778931060448504 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 6.6285082012118510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1926690953859779 " " Order of pole (three term test) = 22.961387710806378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.309999999999931 " " y[1] (analytic) = 2.264013024827099 " " y[1] (numeric) = 2.2640130248271135 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.4729945297780490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18340342380652783 " " Order of pole (three term test) = 22.965148561360817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.319999999999931 " " y[1] (analytic) = 2.25010654252689 " " y[1] (numeric) = 2.250106542526904 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.3156363694863470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17406439330290102 " " Order of pole (three term test) = 22.968723358692618 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.329999999999930 " " y[1] (analytic) = 2.2361750497808495 " " y[1] (numeric) = 2.2361750497808632 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.1563899063720960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16465573936278124 " " Order of pole (three term test) = 22.972110672930512 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.339999999999930 " " y[1] (analytic) = 2.222219939726643 " " y[1] (numeric) = 2.2222199397266564 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 5.9952104907944940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15518122532229722 " " Order of pole (three term test) = 22.975309149193947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.34999999999993 " " y[1] (analytic) = 2.208242607863647 " " y[1] (numeric) = 2.2082426078636597 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.8320526194860170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14564464086073867 " " Order of pole (three term test) = 22.978317508135074 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.35999999999993 " " y[1] (analytic) = 2.1942444519133986 " " y[1] (numeric) = 2.1942444519134114 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.8692581286563520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1360498004847392 " " Order of pole (three term test) = 22.981134546450427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.36999999999993 " " y[1] (analytic) = 2.1802268716798294 " " y[1] (numeric) = 2.180226871679842 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 5.703304567666929000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1264005420025188 " " Order of pole (three term test) = 22.983759137362256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.37999999999993 " " y[1] (analytic) = 2.16619126890928 " " y[1] (numeric) = 2.1661912689092926 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 5.7402585146891340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11670072498881622 " " Order of pole (three term test) = 22.986190231069163 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.3899999999999295 " " y[1] (analytic) = 2.152139047150333 " " y[1] (numeric) = 2.152139047150345 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.5713912545884530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10695422924110592 " " Order of pole (three term test) = 22.988426855166093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.399999999999930 " " y[1] (analytic) = 2.1380716116134524 " " y[1] (numeric) = 2.1380716116134644 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.6080482060670420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.71649532277370800E-2 " " Order of pole (three term test) = 22.990468115033234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.409999999999929 " " y[1] (analytic) = 2.1239903690304702 " " y[1] (numeric) = 2.1239903690304818 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.4361449206439350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.73368125285927700E-2 " " Order of pole (three term test) = 22.992313194193844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.419999999999929 " " y[1] (analytic) = 2.1098967275139096 " " y[1] (numeric) = 2.109896727513921 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.4724571613069660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.74737382689117400E-2 " " Order of pole (three term test) = 22.993961354640867 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.429999999999929 " " y[1] (analytic) = 2.0957920964161776 " " y[1] (numeric) = 2.095792096416189 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.5092866681985930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.75796755468928800E-2 " " Order of pole (three term test) = 22.995411937132094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.4399999999999284 " " y[1] (analytic) = 2.081677886188631 " " y[1] (numeric) = 2.081677886188642 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.3333084431130560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.76585818557056400E-2 " " Order of pole (three term test) = 22.996664361453885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.449999999999928 " " y[1] (analytic) = 2.06755550824053 " " y[1] (numeric) = 2.067555508240541 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.1549479537173240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.771442550054693600E-2 " " Order of pole (three term test) = 22.997718126653176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.459999999999928 " " y[1] (analytic) = 2.053426374797901 " " y[1] (numeric) = 2.0534263747979113 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.9741504988493734000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.775118401137176300E-2 " " Order of pole (three term test) = 22.99857281123798 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.469999999999928 " " y[1] (analytic) = 2.039291898762314 " " y[1] (numeric) = 2.039291898762324 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 5.0086266869154670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.777284255193460700E-2 " " Order of pole (three term test) = 22.99922807334583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.479999999999928 " " y[1] (analytic) = 2.025153493569594 " " y[1] (numeric) = 2.025153493569604 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.8243072180571160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.778339232577594600E-2 " " Order of pole (three term test) = 22.999683650880627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.489999999999927 " " y[1] (analytic) = 2.0110125730484785 " " y[1] (numeric) = 2.011012573048488 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 4.6374018401656714000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.786828979796265000E-3 " " Order of pole (three term test) = 22.99993936161742 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.499999999999927 " " y[1] (analytic) = 1.996870551279235 " " y[1] (numeric) = 1.996870551279244 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 4.4478517605016530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.2128489939524995000E-3 " " Order of pole (three term test) = 22.999995103275353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.509999999999927 " " y[1] (analytic) = 1.9827288424522553 " " y[1] (numeric) = 1.9827288424522644 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 4.5915652241516760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.22116418576083810E-2 " " Order of pole (three term test) = 22.99985085355848 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.519999999999927 " " y[1] (analytic) = 1.9685888607266384 " " y[1] (numeric) = 1.968588860726647 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 4.3989579362344710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.220555022734083700E-2 " " Order of pole (three term test) = 22.999506670164777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5299999999999265 " " y[1] (analytic) = 1.9544520200887727 " " y[1] (numeric) = 1.9544520200887812 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 4.31716660241572200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.2190576673051800E-2 " " Order of pole (three term test) = 22.998962690763005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.539999999999926 " " y[1] (analytic) = 1.940319734210942 " " y[1] (numeric) = 1.9403197342109497 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 4.00529924803167000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.216272731729555600E-2 " " Order of pole (three term test) = 22.998219132937674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.549999999999926 " " y[1] (analytic) = 1.9261934163099563 " " y[1] (numeric) = 1.9261934163099639 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.9193969325852080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.211801343277529000E-2 " " Order of pole (three term test) = 22.997276294102004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.559999999999926 " " y[1] (analytic) = 1.9120744790058346 " " y[1] (numeric) = 1.9120744790058417 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 3.71608294322060300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.20524530377791600E-2 " " Order of pole (three term test) = 22.99613455137895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.569999999999926 " " y[1] (analytic) = 1.897964334180541 " " y[1] (numeric) = 1.897964334180548 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 3.7437096312290920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.19620724889222800E-2 " " Order of pole (three term test) = 22.994794361450396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5799999999999255 " " y[1] (analytic) = 1.8838643928368002 " " y[1] (numeric) = 1.8838643928368068 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 3.53599663175332000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.18429080705522900E-2 " " Order of pole (three term test) = 22.993256260374412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.589999999999925 " " y[1] (analytic) = 1.8697760649569963 " " y[1] (numeric) = 1.8697760649570025 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.32513024122162440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.16910075801778900E-2 " " Order of pole (three term test) = 22.991520863370955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.599999999999925 " " y[1] (analytic) = 1.855700759362177 " " y[1] (numeric) = 1.855700759362183 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.23069562952404970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.101502431909302 " " Order of pole (three term test) = 22.98958886457567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.609999999999925 " " y[1] (analytic) = 1.8416398835711727 " " y[1] (numeric) = 1.8416398835711782 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.01422399278270860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11127325661901015 " " Order of pole (three term test) = 22.98746103676233 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.619999999999925 " " y[1] (analytic) = 1.8275948436598446 " " y[1] (numeric) = 1.8275948436598501 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.0373882605235490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12099957350969438 " " Order of pole (three term test) = 22.985138231033662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.629999999999924 " " y[1] (analytic) = 1.81356704412048 " " y[1] (numeric) = 1.8135670441204854 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.93844693278773940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13067749218428096 " " Order of pole (three term test) = 22.982621376481013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.639999999999924 " " y[1] (analytic) = 1.7995578877213436 " " y[1] (numeric) = 1.7995578877213485 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.71454524563041640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14030314160433668 " " Order of pole (three term test) = 22.979911479812632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.649999999999924 " " y[1] (analytic) = 1.7855687753664005 " " y[1] (numeric) = 1.785568775366405 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.48710223866305650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14987267163843462 " " Order of pole (three term test) = 22.97700962495106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.659999999999924 " " y[1] (analytic) = 1.7716011059552281 " " y[1] (numeric) = 1.7716011059552326 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.5067110669397250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15938225460215286 " " Order of pole (three term test) = 22.973916972599564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.6699999999999235 " " y[1] (analytic) = 1.7576562762431291 " " y[1] (numeric) = 1.757656276243133 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.14760891236016940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16882808678909872 " " Order of pole (three term test) = 22.970634759777827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.679999999999923 " " y[1] (analytic) = 1.743735680701453 " " y[1] (numeric) = 1.7437356807014566 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.0374152562912230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17820638999233943 " " Order of pole (three term test) = 22.967164299327223 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.689999999999923 " " y[1] (analytic) = 1.7298407113781538 " " y[1] (numeric) = 1.729840711378157 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.92541952098118090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18751341301563743 " " Order of pole (three term test) = 22.96350697938567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.699999999999923 " " y[1] (analytic) = 1.7159727577585846 " " y[1] (numeric) = 1.715972757758588 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.94098015764889660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19674543317387452 " " Order of pole (three term test) = 22.95966426283237 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.709999999999923 " " y[1] (analytic) = 1.7021332066265513 " " y[1] (numeric) = 1.7021332066265542 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.6958601434880080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20589875778207953 " " Order of pole (three term test) = 22.955637686702712 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.7199999999999225 " " y[1] (analytic) = 1.688323441925634 " " y[1] (numeric) = 1.6883234419256363 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.31517811937608420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21496972563245162 " " Order of pole (three term test) = 22.951428861573454 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.729999999999922 " " y[1] (analytic) = 1.6745448446207944 " " y[1] (numeric) = 1.6745448446207964 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.19339977710649220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22395470845879573 " " Order of pole (three term test) = 22.947039470918547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.739999999999922 " " y[1] (analytic) = 1.6607987925602807 " " y[1] (numeric) = 1.6607987925602827 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.2032772743316811000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23285011238777922 " " Order of pole (three term test) = 22.942471270435718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.749999999999922 " " y[1] (analytic) = 1.6470866603378447 " " y[1] (numeric) = 1.6470866603378462 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.43673621979552800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24165237937643433 " " Order of pole (three term test) = 22.93772608734424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.759999999999922 " " y[1] (analytic) = 1.633409819155281 " " y[1] (numeric) = 1.6334098191552824 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.15635864267775100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2503579886353278 " " Order of pole (three term test) = 22.93280581965412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.769999999999921 " " y[1] (analytic) = 1.6197696366853112 " " y[1] (numeric) = 1.6197696366853123 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.8542032118660500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25896345803682935 " " Order of pole (three term test) = 22.927712435406793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.779999999999921 " " y[1] (analytic) = 1.6061674769348153 " " y[1] (numeric) = 1.606167476934816 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.14734966521880500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26746534550791584 " " Order of pole (three term test) = 22.922447971888058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.789999999999921 " " y[1] (analytic) = 1.5926047001084331 " " y[1] (numeric) = 1.5926047001084336 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.788445932752971500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2758602504069564 " " Order of pole (three term test) = 22.917014534813127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.799999999999920 " " y[1] (analytic) = 1.5790826624725451 " " y[1] (numeric) = 1.5790826624725454 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.40616200913352700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2841448148839218 " " Order of pole (three term test) = 22.9114142974844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.809999999999920 " " y[1] (analytic) = 1.5656027162196469 " " y[1] (numeric) = 1.5656027162196466 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.418269160015173700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29231572522348026 " " Order of pole (three term test) = 22.90564949992212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.81999999999992 " " y[1] (analytic) = 1.5521662093331299 " " y[1] (numeric) = 1.5521662093331294 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86109314311680800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3003697131704411 " " Order of pole (three term test) = 22.899722447968475 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.82999999999992 " " y[1] (analytic) = 1.538774485452486 " " y[1] (numeric) = 1.5387744854524854 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.328989212342009300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30830355723700953 " " Order of pole (three term test) = 22.89363551236519 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.83999999999992 " " y[1] (analytic) = 1.5254288837389436 " " y[1] (numeric) = 1.5254288837389427 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.82248329743915400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3161140839913424 " " Order of pole (three term test) = 22.887391127805373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.84999999999992 " " y[1] (analytic) = 1.5121307387415526 " " y[1] (numeric) = 1.5121307387415515 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.34211001853664200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3237981693268771 " " Order of pole (three term test) = 22.880991791959577 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.8599999999999195 " " y[1] (analytic) = 1.498881380263731 " " y[1] (numeric) = 1.4988813802637297 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.88841269958115500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33135273971193246 " " Order of pole (three term test) = 22.87444006447681 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.869999999999920 " " y[1] (analytic) = 1.485682133230286 " " y[1] (numeric) = 1.4856821332302843 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.19565067093992490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3387747734190807 " " Order of pole (three term test) = 22.867738565960725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.879999999999919 " " y[1] (analytic) = 1.4725343175549208 " " y[1] (numeric) = 1.472534317554919 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.20632627587913450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34606130173379773 " " Order of pole (three term test) = 22.86088997692137 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.889999999999919 " " y[1] (analytic) = 1.459439248008247 " " y[1] (numeric) = 1.459439248008245 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.36929402649173440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3532094101419106 " " Order of pole (three term test) = 22.853897036703053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.899999999999919 " " y[1] (analytic) = 1.4463982340863064 " " y[1] (numeric) = 1.4463982340863042 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53515539283894030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36021623949536263 " " Order of pole (three term test) = 22.846762542388614 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.909999999999918 " " y[1] (analytic) = 1.433412579879624 " " y[1] (numeric) = 1.4334125798796216 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.70396903756799830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3670789871558357 " " Order of pole (three term test) = 22.839489347680665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.919999999999918 " " y[1] (analytic) = 1.4204835839427992 " " y[1] (numeric) = 1.4204835839427963 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.03211068164068640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37379490811576793 " " Order of pole (three term test) = 22.832080361760102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.929999999999918 " " y[1] (analytic) = 1.4076125391646512 " " y[1] (numeric) = 1.4076125391646481 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.20843760797644920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38036131609631935 " " Order of pole (three term test) = 22.824538548122526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.939999999999918 " " y[1] (analytic) = 1.3948007326389322 " " y[1] (numeric) = 1.394800732638929 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.3879174966978380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38677558462184874 " " Order of pole (three term test) = 22.816866923392816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.949999999999918 " " y[1] (analytic) = 1.3820494455356183 " " y[1] (numeric) = 1.3820494455356147 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.57061257126269760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39303514807046863 " " Order of pole (three term test) = 22.80906855611858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.959999999999917 " " y[1] (analytic) = 1.3693599529727936 " " y[1] (numeric) = 1.3693599529727898 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.7565858600806686000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.399137502700259 " " Order of pole (three term test) = 22.80114656554277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.969999999999917 " " y[1] (analytic) = 1.3567335238891403 " " y[1] (numeric) = 1.356733523889136 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 3.10956235641769300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40508020765073166 " " Order of pole (three term test) = 22.79310412035596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.979999999999917 " " y[1] (analytic) = 1.3441714209170443 " " y[1] (numeric) = 1.3441714209170397 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 3.4690044966470320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4108608859191415 " " Order of pole (three term test) = 22.784944437429015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.989999999999917 " " y[1] (analytic) = 1.3316749002563344 " " y[1] (numeric) = 1.3316749002563297 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 3.50155785209144300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41647722531125586 " " Order of pole (three term test) = 22.776670780526306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.9999999999999165 " " y[1] (analytic) = 1.3192452115486633 " " y[1] (numeric) = 1.3192452115486584 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.7028607461202790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4219269793662013 " " Order of pole (three term test) = 22.76828645900029 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.009999999999916 " " y[1] (analytic) = 1.3068835977525437 " " y[1] (numeric) = 1.3068835977525384 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.07769332124543360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4272079682550184 " " Order of pole (three term test) = 22.75979482646777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.019999999999916 " " y[1] (analytic) = 1.2945912950190537 " " y[1] (numeric) = 1.2945912950190481 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 4.2879286648100640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43231807965256364 " " Order of pole (three term test) = 22.75119927946855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.029999999999916 " " y[1] (analytic) = 1.282369532568223 " " y[1] (numeric) = 1.2823695325682172 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 4.50194704523961260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4372552695824122 " " Order of pole (three term test) = 22.74250325610683 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.039999999999916 " " y[1] (analytic) = 1.270219532566112 " " y[1] (numeric) = 1.270219532566106 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 4.7198174640443963000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4420175632344202 " " Order of pole (three term test) = 22.733710234675986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.0499999999999154 " " y[1] (analytic) = 1.2581425100025962 " " y[1] (numeric) = 1.25814251000259 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.9416094667114040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4466030557546233 " " Order of pole (three term test) = 22.724823732267378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.059999999999915 " " y[1] (analytic) = 1.246139672569868 " " y[1] (numeric) = 1.2461396725698612 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 5.3455790666013450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45100991300715276 " " Order of pole (three term test) = 22.715847303363464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.069999999999915 " " y[1] (analytic) = 1.2342122205416675 " " y[1] (numeric) = 1.2342122205416606 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 5.5771468132563230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45523637230786457 " " Order of pole (three term test) = 22.706784538416134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.079999999999915 " " y[1] (analytic) = 1.2223613466532586 " " y[1] (numeric) = 1.2223613466532515 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 5.8128698007795930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4592807431293907 " " Order of pole (three term test) = 22.69763906241053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.089999999999915 " " y[1] (analytic) = 1.210588235982154 " " y[1] (numeric) = 1.210588235982147 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 5.8694006321946010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46314140777732654 " " Order of pole (three term test) = 22.688414533415116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.099999999999914 " " y[1] (analytic) = 1.1988940658296108 " " y[1] (numeric) = 1.1988940658296032 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 6.2970672577538780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46681682203728814 " " Order of pole (three term test) = 22.679114641118495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.109999999999914 " " y[1] (analytic) = 1.1872800056028983 " " y[1] (numeric) = 1.1872800056028905 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 6.5456852096399230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47030551579257585 " " Order of pole (three term test) = 22.669743105353586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.119999999999914 " " y[1] (analytic) = 1.1757472166983611 " " y[1] (numeric) = 1.1757472166983531 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 6.7987452266722160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4736060936122033 " " Order of pole (three term test) = 22.66030367460975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.129999999999914 " " y[1] (analytic) = 1.1642968523852788 " " y[1] (numeric) = 1.1642968523852708 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 6.8656079941509230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47671723530904964 " " Order of pole (three term test) = 22.650800124533426 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1399999999999135 " " y[1] (analytic) = 1.1529300576905415 " " y[1] (numeric) = 1.152930057690533 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 7.3184794956711550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4796376964679174 " " Order of pole (three term test) = 22.641236256417926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.149999999999913 " " y[1] (analytic) = 1.1416479692841457 " " y[1] (numeric) = 1.1416479692841368 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 7.779792401829830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4823663089432821 " " Order of pole (three term test) = 22.63161589568299 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.159999999999913 " " y[1] (analytic) = 1.1304517153655302 " " y[1] (numeric) = 1.1304517153655214 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 7.8568452559951560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48490198132653434 " " Order of pole (three term test) = 22.62194289034463 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.169999999999913 " " y[1] (analytic) = 1.1193424155507572 " " y[1] (numeric) = 1.119342415550748 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.133193806871750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4872436993825295 " " Order of pole (three term test) = 22.61222110947601 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.179999999999913 " " y[1] (analytic) = 1.1083211807605504 " " y[1] (numeric) = 1.1083211807605409 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 8.6147573262331680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48939052645526787 " " Order of pole (three term test) = 22.602454441659873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1899999999999125 " " y[1] (analytic) = 1.0973891131092042 " " y[1] (numeric) = 1.0973891131091944 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 8.9029155656742350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49134160384254394 " " Order of pole (three term test) = 22.592646793433104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.199999999999912 " " y[1] (analytic) = 1.0865473057943738 " " y[1] (numeric) = 1.0865473057943638 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.1961087826924040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4930961511394171 " " Order of pole (three term test) = 22.582802087724236 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.209999999999912 " " y[1] (analytic) = 1.075796842987756 " " y[1] (numeric) = 1.0757968429877458 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 9.494405837987470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4946534665503625 " " Order of pole (three term test) = 22.572924262284303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.219999999999912 " " y[1] (analytic) = 1.0651387997266726 " " y[1] (numeric) = 1.0651387997266621 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 9.7978746377040260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4960129271699791 " " Order of pole (three term test) = 22.563017268111757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.229999999999912 " " y[1] (analytic) = 1.0545742418065682 " " y[1] (numeric) = 1.0545742418065576 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0106581987194446000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49717398923214523 " " Order of pole (three term test) = 22.553085067872182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.239999999999911 " " y[1] (analytic) = 1.044104225674431 " " y[1] (numeric) = 1.0441042256744202 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0420593436731436000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4981361883275169 " " Order of pole (three term test) = 22.543131634313262 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.249999999999911 " " y[1] (analytic) = 1.033729798323149 " " y[1] (numeric) = 1.0337297983231382 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0525173656574166000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4988991395892845 " " Order of pole (three term test) = 22.533160948675693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.259999999999911 " " y[1] (analytic) = 1.0234519971868123 " " y[1] (numeric) = 1.0234519971868012 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.0847827037094597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49946253784711636 " " Order of pole (three term test) = 22.523176999100787 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.269999999999910 " " y[1] (analytic) = 1.0132718500369697 " " y[1] (numeric) = 1.0132718500369584 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 1.117594932767887000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49982615774922107 " " Order of pole (three term test) = 22.513183779035266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.2799999999999105 " " y[1] (analytic) = 1.0031903748798527 " " y[1] (numeric) = 1.0031903748798412 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.1509599518919303000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49998985385248607 " " Order of pole (three term test) = 22.503185285633922 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.28999999999991 " " y[1] (analytic) = 0.9932085798545758 " " y[1] (numeric) = 0.993208579854564 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 1.1848834474174366000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49995356068065266 " " Order of pole (three term test) = 22.493185518160782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.29999999999991 " " y[1] (analytic) = 0.9833274631323232 " " y[1] (numeric) = 0.9833274631323113 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 1.208080401380044000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49971729275050525 " " Order of pole (three term test) = 22.48318847638952 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.30999999999991 " " y[1] (analytic) = 0.9735480128165332 " " y[1] (numeric) = 0.9735480128165211 " " absolute error = 1.210143096841420600000000000000E-14 " " relative error = 1.243023539579114900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49928114456606654 " " Order of pole (three term test) = 22.47319815900356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.31999999999991 " " y[1] (analytic) = 0.9638712068440878 " " y[1] (numeric) = 0.9638712068440755 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.2785396519612643000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49864529058079415 " " Order of pole (three term test) = 22.46321856199663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.3299999999999095 " " y[1] (analytic) = 0.9542980128875201 " " y[1] (numeric) = 0.9542980128875076 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.3146333754069095000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4978099851278049 " " Order of pole (three term test) = 22.453253677074503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.339999999999910 " " y[1] (analytic) = 0.9448293882582485 " " y[1] (numeric) = 0.9448293882582356 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.3630595370655146000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4967755623181425 " " Order of pole (three term test) = 22.443307490058267 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.349999999999909 " " y[1] (analytic) = 0.9354662798108447 " " y[1] (numeric) = 0.9354662798108319 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.3767024385161078000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49554243590713865 " " Order of pole (three term test) = 22.433383979290117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.359999999999909 " " y[1] (analytic) = 0.9262096238483515 " " y[1] (numeric) = 0.9262096238483385 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.402448112571234000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4941110991289164 " " Order of pole (three term test) = 22.423487114042054 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.369999999999909 " " y[1] (analytic) = 0.9170603460286513 " " y[1] (numeric) = 0.917060346028638 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.4527589545438316000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4924821244991027 " " Order of pole (three term test) = 22.41362085292821 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.379999999999908 " " y[1] (analytic) = 0.9080193612719015 " " y[1] (numeric) = 0.9080193612718879 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 1.503904408355483000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49065616358583003 " " Order of pole (three term test) = 22.403789142321486 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.389999999999908 " " y[1] (analytic) = 0.8990875736690436 " " y[1] (numeric) = 0.8990875736690298 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 1.5311929458853274000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48863394674911825 " " Order of pole (three term test) = 22.393995914775044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.399999999999908 " " y[1] (analytic) = 0.8902658763913948 " " y[1] (numeric) = 0.8902658763913809 " " absolute error = 1.387778780781445700000000000000E-14 " " relative error = 1.5588363179847692000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.486416282848739 " " Order of pole (three term test) = 22.38424508744932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.409999999999908 " " y[1] (analytic) = 0.8815551516013314 " " y[1] (numeric) = 0.8815551516013174 " " absolute error = 1.398881011027697200000000000000E-14 " " relative error = 1.5868332327100027000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4840040589206844 " " Order of pole (three term test) = 22.37454056054524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.419999999999908 " " y[1] (analytic) = 0.8729562703640737 " " y[1] (numeric) = 0.8729562703640595 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.627899953026885000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48139823982236285 " " Order of pole (three term test) = 22.364886215744168 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.429999999999907 " " y[1] (analytic) = 0.8644700925605797 " " y[1] (numeric) = 0.8644700925605653 " " absolute error = 1.443289932012703500000000000000E-14 " " relative error = 1.6695660664646553000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4785998678466701 " " Order of pole (three term test) = 22.35528591465531 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.439999999999907 " " y[1] (analytic) = 0.8560974668015577 " " y[1] (numeric) = 0.8560974668015432 " " absolute error = 1.45439216225895500000000000000E-14 " " relative error = 1.6988628265572023000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.475610062305085 " " Order of pole (three term test) = 22.345743497271098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.449999999999907 " " y[1] (analytic) = 0.8478392303426069 " " y[1] (numeric) = 0.847839230342592 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 1.7546945219750443000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4724300190799608 " " Order of pole (three term test) = 22.33626278043124 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.459999999999907 " " y[1] (analytic) = 0.8396962090004907 " " y[1] (numeric) = 0.8396962090004758 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 1.7717108128528425000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4690610101461876 " " Order of pole (three term test) = 22.32684755629608 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.4699999999999065 " " y[1] (analytic) = 0.8316692170705581 " " y[1] (numeric) = 0.831669217070543 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 1.8155094387269040000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4655043830624196 " " Order of pole (three term test) = 22.317501590829735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.479999999999906 " " y[1] (analytic) = 0.8237590572453123 " " y[1] (numeric) = 0.8237590572452973 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 1.8194653765095103000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46176156043206873 " " Order of pole (three term test) = 22.30822862229378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.489999999999906 " " y[1] (analytic) = 0.815966520534145 " " y[1] (numeric) = 0.8159665205341295 " " absolute error = 1.543210004228967600000000000000E-14 " " relative error = 1.8912663269796376000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45783403933428374 " " Order of pole (three term test) = 22.29903235975199 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.499999999999906 " " y[1] (analytic) = 0.8082923861842325 " " y[1] (numeric) = 0.8082923861842172 " " absolute error = 1.53210777398271600000000000000E-14 " " relative error = 1.8954870788966036000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4537233907251377 " " Order of pole (three term test) = 22.28991648158676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.509999999999906 " " y[1] (analytic) = 0.8007374216026156 " " y[1] (numeric) = 0.8007374216026 " " absolute error = 1.565414464721470700000000000000E-14 " " relative error = 1.9549660381656844000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4494312588092661 " " Order of pole (three term test) = 22.280884634027828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.519999999999905 " " y[1] (analytic) = 0.7933023822794562 " " y[1] (numeric) = 0.7933023822794404 " " absolute error = 1.576516694967722300000000000000E-14 " " relative error = 1.9872834497708136000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44495936038220757 " " Order of pole (three term test) = 22.271940429693778 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.529999999999905 " " y[1] (analytic) = 0.7859880117124907 " " y[1] (numeric) = 0.7859880117124748 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 2.019902214227046700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44030948414370863 " " Order of pole (three term test) = 22.263087446147107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.539999999999905 " " y[1] (analytic) = 0.778795041332681 " " y[1] (numeric) = 0.7787950413326646 " " absolute error = 1.6320278461989800000000000000E-14 " " relative error = 2.0955806850108336000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43548348998226705 " " Order of pole (three term test) = 22.254329224463177 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.549999999999905 " " y[1] (analytic) = 0.7717241904310701 " " y[1] (numeric) = 0.7717241904310539 " " absolute error = 1.620925615952728500000000000000E-14 " " relative error = 2.100394980552976000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4304833082312016 " " Order of pole (three term test) = 22.2456692678139 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.559999999999905 " " y[1] (analytic) = 0.7647761660868566 " " y[1] (numeric) = 0.7647761660868402 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 2.1485110929288810000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4253109388965447 " " Order of pole (three term test) = 22.237111040066456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.569999999999904 " " y[1] (analytic) = 0.7579516630966846 " " y[1] (numeric) = 0.7579516630966681 " " absolute error = 1.654232306691483200000000000000E-14 " " relative error = 2.182503696783193000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4199684508570659 " " Order of pole (three term test) = 22.228657964397854 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.579999999999904 " " y[1] (analytic) = 0.7512513639051661 " " y[1] (numeric) = 0.7512513639051495 " " absolute error = 1.665334536937734800000000000000E-14 " " relative error = 2.2167474389410327000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4144579810367492 " " Order of pole (three term test) = 22.220313421925642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.589999999999904 " " y[1] (analytic) = 0.7446759385366367 " " y[1] (numeric) = 0.74467593853662 " " absolute error = 1.676436767183986400000000000000E-14 " " relative error = 2.2512299383250564000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4087817335500505 " " Order of pole (three term test) = 22.21208075035556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.599999999999904 " " y[1] (analytic) = 0.7382260445281539 " " y[1] (numeric) = 0.7382260445281369 " " absolute error = 1.698641227676489500000000000000E-14 " " relative error = 2.3009771062225207000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40294197882028193 " " Order of pole (three term test) = 22.20396324264646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.6099999999999035 " " y[1] (analytic) = 0.7319023268637433 " " y[1] (numeric) = 0.7319023268637262 " " absolute error = 1.70974345792274100000000000000E-14 " " relative error = 2.336026810092435000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3969410526714738 " " Order of pole (three term test) = 22.195964145693203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.619999999999903 " " y[1] (analytic) = 0.7257054179099018 " " y[1] (numeric) = 0.7257054179098846 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 2.371273034071022800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3907813553940738 " " Order of pole (three term test) = 22.188086659027906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.629999999999903 " " y[1] (analytic) = 0.7196359373523606 " " y[1] (numeric) = 0.7196359373523434 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 2.3912725849965472000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38446535078486455 " " Order of pole (three term test) = 22.18033393354021 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.639999999999903 " " y[1] (analytic) = 0.713694492134118 " " y[1] (numeric) = 0.7136944921341005 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 2.4422917198777266000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37799556516147775 " " Order of pole (three term test) = 22.172709070216946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.649999999999903 " " y[1] (analytic) = 0.7078816763947438 " " y[1] (numeric) = 0.7078816763947264 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 2.446663017520232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3713745863519 " " Order of pole (three term test) = 22.16521511890177 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.659999999999902 " " y[1] (analytic) = 0.7021980714109688 " " y[1] (numeric) = 0.7021980714109513 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 2.4980877195846232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3646050626593769 " " Order of pole (three term test) = 22.1578550770753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.669999999999902 " " y[1] (analytic) = 0.6966442455385546 " " y[1] (numeric) = 0.696644245538537 " " absolute error = 1.76525460915399900000000000000E-14 " " relative error = 2.533939841546145000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3576897018031258 " " Order of pole (three term test) = 22.150631888656115 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.679999999999902 " " y[1] (analytic) = 0.6912207541554605 " " y[1] (numeric) = 0.6912207541554426 " " absolute error = 1.78745906964650200000000000000E-14 " " relative error = 2.585945313274679000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35063126983528603 " " Order of pole (three term test) = 22.143548442823302 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.689999999999902 " " y[1] (analytic) = 0.685928139606305 " " y[1] (numeric) = 0.685928139606287 " " absolute error = 1.809663530139005200000000000000E-14 " " relative error = 2.6382698502173690000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3434325900345334 " " Order of pole (three term test) = 22.136607572860726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.699999999999902 " " y[1] (analytic) = 0.6807669311481326 " " y[1] (numeric) = 0.6807669311481145 " " absolute error = 1.809663530139005200000000000000E-14 " " relative error = 2.6582717922078800000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33609654177680703 " " Order of pole (three term test) = 22.129812055023837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.709999999999901 " " y[1] (analytic) = 0.6757376448974879 " " y[1] (numeric) = 0.6757376448974699 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 2.661626614224819000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3286260593835975 " " Order of pole (three term test) = 22.123164607429175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.719999999999901 " " y[1] (analytic) = 0.6708407837788056 " " y[1] (numeric) = 0.6708407837787873 " " absolute error = 1.831867990631508300000000000000E-14 " " relative error = 2.730704564968019000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3210241309482569 " " Order of pole (three term test) = 22.116667888967136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.729999999999901 " " y[1] (analytic) = 0.6660768374741163 " " y[1] (numeric) = 0.6660768374740978 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 2.766903331853778000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3132937971408015 " " Order of pole (three term test) = 22.110324498238477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.739999999999900 " " y[1] (analytic) = 0.6614462823740804 " " y[1] (numeric) = 0.6614462823740621 " " absolute error = 1.831867990631508300000000000000E-14 " " relative error = 2.7694886787427680000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30543814999168484 " " Order of pole (three term test) = 22.104136972514915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7499999999999005 " " y[1] (analytic) = 0.6569495815303498 " " y[1] (numeric) = 0.6569495815303312 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 2.822244664202373000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.297460331655026 " " Order of pole (three term test) = 22.098107786724253 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7599999999999 " " y[1] (analytic) = 0.652587184609261 " " y[1] (numeric) = 0.6525871846092424 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 2.8581233670517800000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2893635331517902 " " Order of pole (three term test) = 22.092239352460403 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7699999999999 " " y[1] (analytic) = 0.648359527846871 " " y[1] (numeric) = 0.6483595278468522 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 2.893883456679381000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28115099309342206 " " Order of pole (three term test) = 22.08653401701883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7799999999999 " " y[1] (analytic) = 0.644267034005333 " " y[1] (numeric) = 0.6442670340053142 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 2.929498239463146400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2728259963864467 " " Order of pole (three term test) = 22.080994062457645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7899999999999 " " y[1] (analytic) = 0.6403101123306207 " " y[1] (numeric) = 0.6403101123306019 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 2.9476016472596767000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26439187291854854 " " Order of pole (three term test) = 22.075621704684814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7999999999998995 " " y[1] (analytic) = 0.6364891585116041 " " y[1] (numeric) = 0.6364891585115854 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 2.9478536853700504000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2558519962266609 " " Order of pole (three term test) = 22.0704190925718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.809999999999900 " " y[1] (analytic) = 0.6328045546404815 " " y[1] (numeric) = 0.6328045546404625 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.0001069969978517000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2472097821475971 " " Order of pole (three term test) = 22.065388307094093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.819999999999899 " " y[1] (analytic) = 0.6292566691745687 " " y[1] (numeric) = 0.6292566691745497 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.0170222503948385000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2384686874517602 " " Order of pole (three term test) = 22.060531360498796 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.829999999999899 " " y[1] (analytic) = 0.6258458568994562 " " y[1] (numeric) = 0.6258458568994372 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.033464791976747000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22963220846048327 " " Order of pole (three term test) = 22.0558501954998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.839999999999899 " " y[1] (analytic) = 0.6225724588935292 " " y[1] (numeric) = 0.6225724588935101 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.0672471534463450000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22070387964754384 " " Order of pole (three term test) = 22.051346684500686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.849999999999898 " " y[1] (analytic) = 0.6194368024938604 " " y[1] (numeric) = 0.6194368024938413 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.0827738918115000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2116872722254245 " " Order of pole (three term test) = 22.047022628845813 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.859999999999898 " " y[1] (analytic) = 0.6164392012634768 " " y[1] (numeric) = 0.6164392012634575 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 3.1337852279483640000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2025859927168746 " " Order of pole (three term test) = 22.042879758099776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.869999999999898 " " y[1] (analytic) = 0.6135799549600033 " " y[1] (numeric) = 0.6135799549599839 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.166482668457891000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19340368151234824 " " Order of pole (three term test) = 22.038919729355644 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.879999999999898 " " y[1] (analytic) = 0.6108593495056874 " " y[1] (numeric) = 0.610859349505668 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.180585342053334000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18414401141389858 " " Order of pole (three term test) = 22.035144126572114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.8899999999998975 " " y[1] (analytic) = 0.6082776569588078 " " y[1] (numeric) = 0.6082776569587883 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.194084594209574000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17481068616610404 " " Order of pole (three term test) = 22.03155445993997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.899999999999897 " " y[1] (analytic) = 0.6058351354864675 " " y[1] (numeric) = 0.605835135486448 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.2252875557824456000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16540743897462104 " " Order of pole (three term test) = 22.028152165277984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.909999999999897 " " y[1] (analytic) = 0.6035320293387783 " " y[1] (numeric) = 0.6035320293387587 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.237595402320311300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15593803101295078 " " Order of pole (three term test) = 22.02493860345866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.919999999999897 " " y[1] (analytic) = 0.6013685688244358 " " y[1] (numeric) = 0.6013685688244162 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.2492428514512640000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14640624991802215 " " Order of pole (three term test) = 22.0219150598639 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.929999999999897 " " y[1] (analytic) = 0.5993449702876886 " " y[1] (numeric) = 0.599344970287669 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.2787373733081826000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13681590827518356 " " Order of pole (three term test) = 22.0190827438708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.9399999999998965 " " y[1] (analytic) = 0.597461436086704 " " y[1] (numeric) = 0.5974614360866843 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.289073796055602000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12717084209322224 " " Order of pole (three term test) = 22.016442788368014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.949999999999896 " " y[1] (analytic) = 0.5957181545733324 " " y[1] (numeric) = 0.5957181545733128 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.2986987864990863000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11747490927001267 " " Order of pole (three term test) = 22.013996249302533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.959999999999896 " " y[1] (analytic) = 0.5941153000742726 " " y[1] (numeric) = 0.594115300074253 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.3075982950462030000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10773198804940573 " " Order of pole (three term test) = 22.011744105257378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.969999999999896 " " y[1] (analytic) = 0.5926530328736386 " " y[1] (numeric) = 0.5926530328736189 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.315759212533231000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.79459754699873600E-2 " " Order of pole (three term test) = 22.00968725706011 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.979999999999896 " " y[1] (analytic) = 0.5913314991969321 " " y[1] (numeric) = 0.5913314991969123 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.341944385706811000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.81207858063096100E-2 " " Order of pole (three term test) = 22.007826527422615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.989999999999895 " " y[1] (analytic) = 0.5901508311964193 " " y[1] (numeric) = 0.5901508311963996 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3486303490014796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.82603490032368600E-2 " " Order of pole (three term test) = 22.006162660611924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.999999999999895 " " y[1] (analytic) = 0.5891111469379163 " " y[1] (numeric) = 0.5891111469378967 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.335694399606428000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.83686091040204200E-2 " " Order of pole (three term test) = 22.004696322152576 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.009999999999895 " " y[1] (analytic) = 0.588212550388983 " " y[1] (numeric) = 0.5882125503889633 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3596647717324735000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.844952267273189000E-2 " " Order of pole (three term test) = 22.003428098560416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.019999999999895 " " y[1] (analytic) = 0.587455131408525 " " y[1] (numeric) = 0.5874551314085054 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.3450976057948006000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.85070572116906800E-2 " " Order of pole (three term test) = 22.00235849710794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0299999999998946 " " y[1] (analytic) = 0.5868389657378096 " " y[1] (numeric) = 0.5868389657377898 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3675285712293895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.85451895745174800E-2 " " Order of pole (three term test) = 22.001487945621513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.039999999999894 " " y[1] (analytic) = 0.5863641149928899 " " y[1] (numeric) = 0.5863641149928702 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.3513216503884374000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.856790437544294300E-2 " " Order of pole (three term test) = 22.000816792310083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.049999999999894 " " y[1] (analytic) = 0.5860306266584449 " " y[1] (numeric) = 0.5860306266584253 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.334283968197992000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.857919239551891800E-2 " " Order of pole (three term test) = 22.00034530562604 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.059999999999894 " " y[1] (analytic) = 0.5858385340830304 " " y[1] (numeric) = 0.5858385340830107 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3732792721222630000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.583048986355565000E-3 " " Order of pole (three term test) = 22.000073674157786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.069999999999894 " " y[1] (analytic) = 0.5857878564757435 " " y[1] (numeric) = 0.5857878564757237 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3735711008454640000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.4165275279627793000E-3 " " Order of pole (three term test) = 22.00000200655427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0799999999998935 " " y[1] (analytic) = 0.5858785989043028 " " y[1] (numeric) = 0.5858785989042831 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 3.3730485932215620000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.141553745015696400E-2 " " Order of pole (three term test) = 22.000130331481568 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.089999999999893 " " y[1] (analytic) = 0.5861107522945409 " " y[1] (numeric) = 0.5861107522945214 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.333828147138865000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.14099813095765600E-2 " " Order of pole (three term test) = 22.000458597611445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.099999999999893 " " y[1] (analytic) = 0.5864842934313127 " " y[1] (numeric) = 0.5864842934312932 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.3317047791819870000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.13958614619343930E-2 " " Order of pole (three term test) = 22.000986673641812 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.109999999999893 " " y[1] (analytic) = 0.5869991849608155 " " y[1] (numeric) = 0.586999184960796 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 3.3287823448523396000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.13691836883137700E-2 " " Order of pole (three term test) = 22.0017143483493 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.119999999999893 " " y[1] (analytic) = 0.5876553753943256 " " y[1] (numeric) = 0.5876553753943059 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 3.3439577614140250000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.13259587927991300E-2 " " Order of pole (three term test) = 22.002641330673725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.129999999999892 " " y[1] (analytic) = 0.5884527991133459 " " y[1] (numeric) = 0.5884527991133265 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.3016926693551010000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.12622041981049400E-2 " " Order of pole (three term test) = 22.00376724983452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.139999999999892 " " y[1] (analytic) = 0.5893913763761698 " " y[1] (numeric) = 0.5893913763761504 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.296434883455106000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.11739455385496100E-2 " " Order of pole (three term test) = 22.005091655479045 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.149999999999892 " " y[1] (analytic) = 0.5904710133258527 " " y[1] (numeric) = 0.5904710133258333 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 3.290407571661499400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.10572182497525800E-2 " " Order of pole (three term test) = 22.006614017862674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.159999999999892 " " y[1] (analytic) = 0.5916916019995994 " " y[1] (numeric) = 0.59169160199958 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 3.2648563142004516000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.09080691544034800E-2 " " Order of pole (three term test) = 22.008333728060773 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.169999999999892 " " y[1] (analytic) = 0.5930530203395598 " " y[1] (numeric) = 0.5930530203395404 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 3.2573614779698845000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10072255804348383 " " Order of pole (three term test) = 22.010250098212182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.179999999999891 " " y[1] (analytic) = 0.5945551322050342 " " y[1] (numeric) = 0.594555132205015 " " absolute error = 1.920685832601520800000000000000E-14 " " relative error = 3.2304587557393520000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11049675925229736 " " Order of pole (three term test) = 22.012362361794395 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.189999999999891 " " y[1] (analytic) = 0.5961977873860882 " " y[1] (numeric) = 0.5961977873860689 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 3.2401798593002445000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12022676323067973 " " Order of pole (three term test) = 22.01466967393014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.199999999999891 " " y[1] (analytic) = 0.5979808216185719 " " y[1] (numeric) = 0.5979808216185528 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.1933860306531975000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12990867810677248 " " Order of pole (three term test) = 22.01717111172534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.209999999999890 " " y[1] (analytic) = 0.5999040566005486 " " y[1] (numeric) = 0.5999040566005295 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.1831483407133926000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13953863124371466 " " Order of pole (three term test) = 22.0198656746382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.2199999999998905 " " y[1] (analytic) = 0.6019673000101224 " " y[1] (numeric) = 0.6019673000101033 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.1722380971909240000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1491127707886499 " " Order of pole (three term test) = 22.02275228487951 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.22999999999989 " " y[1] (analytic) = 0.604170345524672 " " y[1] (numeric) = 0.6041703455246529 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 3.1606708546692310000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1586272672134133 " " Order of pole (three term test) = 22.02582978784364 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.23999999999989 " " y[1] (analytic) = 0.6065129728414816 " " y[1] (numeric) = 0.6065129728414624 " " absolute error = 1.920685832601520800000000000000E-14 " " relative error = 3.1667679317776304000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16807831484629343 " " Order of pole (three term test) = 22.02909695257046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.24999999999989 " " y[1] (analytic) = 0.6089949476997715 " " y[1] (numeric) = 0.6089949476997525 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.117400857395865000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17746213339424985 " " Order of pole (three term test) = 22.03255247223762 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.25999999999989 " " y[1] (analytic) = 0.6116160219041246 " " y[1] (numeric) = 0.6116160219041056 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.104041267915998000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18677496945497804 " " Order of pole (three term test) = 22.036194964683336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.269999999999890 " " y[1] (analytic) = 0.6143759333493043 " " y[1] (numeric) = 0.6143759333492854 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 3.072026489666701000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1960130980182243 " " Order of pole (three term test) = 22.040022972959193 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.279999999999890 " " y[1] (analytic) = 0.6172744060464664 " " y[1] (numeric) = 0.6172744060464475 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 3.0755873781782980000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20517282395573602 " " Order of pole (three term test) = 22.044034965912925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.289999999999889 " " y[1] (analytic) = 0.6203111501507562 " " y[1] (numeric) = 0.6203111501507373 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 3.042632945424357000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21425048349926723 " " Order of pole (three term test) = 22.048229338800837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.299999999999889 " " y[1] (analytic) = 0.6234858619902942 " " y[1] (numeric) = 0.6234858619902753 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 3.027140239937224000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22324244570603316 " " Order of pole (three term test) = 22.0526044139297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.309999999999889 " " y[1] (analytic) = 0.6267982240965417 " " y[1] (numeric) = 0.626798224096523 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 2.9934304844608550000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2321451139110431 " " Order of pole (three term test) = 22.05715844132779 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.319999999999888 " " y[1] (analytic) = 0.6302479052360487 " " y[1] (numeric) = 0.63024790523603 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 2.9594301954430036000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24095492716571612 " " Order of pole (three term test) = 22.06188959944488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.329999999999888 " " y[1] (analytic) = 0.6338345604435758 " " y[1] (numeric) = 0.6338345604435571 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 2.942683781813601000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249668361662212 " " Order of pole (three term test) = 22.066795995880806 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.339999999999888 " " y[1] (analytic) = 0.637557831056591 " " y[1] (numeric) = 0.6375578310565725 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 2.9080851348831444000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2582819321429098 " " Order of pole (three term test) = 22.071875668142386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.349999999999888 " " y[1] (analytic) = 0.641417344751136 " " y[1] (numeric) = 0.6414173447511174 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 2.890586708164829000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2667921932944646 " " Order of pole (three term test) = 22.077126584428477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.3599999999998875 " " y[1] (analytic) = 0.6454127155790574 " " y[1] (numeric) = 0.6454127155790389 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 2.8726927845859950000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27519574112588246 " " Order of pole (three term test) = 22.082546644442548 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.369999999999887 " " y[1] (analytic) = 0.6495435440066019 " " y[1] (numeric) = 0.6495435440065834 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 2.837331288845861000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2834892143300778 " " Order of pole (three term test) = 22.08813368023288 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.379999999999887 " " y[1] (analytic) = 0.6538094169543691 " " y[1] (numeric) = 0.6538094169543507 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 2.8188187154948630000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29166929562834687 " " Order of pole (three term test) = 22.093885457059635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.389999999999887 " " y[1] (analytic) = 0.658209907838619 " " y[1] (numeric) = 0.6582099078386008 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 2.7662387616803774000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2997327130972368 " " Order of pole (three term test) = 22.099799674288775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.399999999999887 " " y[1] (analytic) = 0.6627445766139305 " " y[1] (numeric) = 0.6627445766139123 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 2.7473114449126750000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30767624147727074 " " Order of pole (three term test) = 22.105873966312277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4099999999998865 " " y[1] (analytic) = 0.6674129698172048 " " y[1] (numeric) = 0.6674129698171867 " " absolute error = 1.809663530139005200000000000000E-14 " " relative error = 2.711459938566443000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31549670346300906 " " Order of pole (three term test) = 22.112105903494303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.419999999999886 " " y[1] (analytic) = 0.6722146206130117 " " y[1] (numeric) = 0.6722146206129938 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 2.675575991269863000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3231909709739287 " " Order of pole (three term test) = 22.118492993143075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.429999999999886 " " y[1] (analytic) = 0.6771490488402733 " " y[1] (numeric) = 0.6771490488402554 " " absolute error = 1.78745906964650200000000000000E-14 " " relative error = 2.6396833499328004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3307559664056142 " " Order of pole (three term test) = 22.125032680507903 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.439999999999886 " " y[1] (analytic) = 0.6822157610602788 " " y[1] (numeric) = 0.6822157610602609 " " absolute error = 1.78745906964650200000000000000E-14 " " relative error = 2.6200788250164260000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33818866386075824 " " Order of pole (three term test) = 22.131722349801027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.449999999999886 " " y[1] (analytic) = 0.6874142506060283 " " y[1] (numeric) = 0.6874142506060106 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 2.584114073623298000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3454860903594801 " " Order of pole (three term test) = 22.13855932524393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.459999999999885 " " y[1] (analytic) = 0.6927439976328993 " " y[1] (numeric) = 0.6927439976328819 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 2.516153376452895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3526453270284779 " " Order of pole (three term test) = 22.145540872137595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.469999999999885 " " y[1] (analytic) = 0.6982044691706308 " " y[1] (numeric) = 0.6982044691706134 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 2.496475209807802200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3596635102685393 " " Order of pole (three term test) = 22.152664197956337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.479999999999885 " " y[1] (analytic) = 0.7037951191766191 " " y[1] (numeric) = 0.7037951191766019 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 2.445094660761838200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3665378328999431 " " Order of pole (three term test) = 22.159926453464827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.489999999999885 " " y[1] (analytic) = 0.7095153885905229 " " y[1] (numeric) = 0.7095153885905056 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 2.4410293931126978000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3732655452852925 " " Order of pole (three term test) = 22.167324733857665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4999999999998845 " " y[1] (analytic) = 0.7153647053901669 " " y[1] (numeric) = 0.71536470539015 " " absolute error = 1.698641227676489500000000000000E-14 " " relative error = 2.3745108122856493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3798439564293357 " " Order of pole (three term test) = 22.174856079921355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.509999999999884 " " y[1] (analytic) = 0.7213424846487464 " " y[1] (numeric) = 0.7213424846487295 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 2.3394421281757383000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38627043505532555 " " Order of pole (three term test) = 22.18251747921788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.519999999999884 " " y[1] (analytic) = 0.7274481285933164 " " y[1] (numeric) = 0.7274481285932998 " " absolute error = 1.665334536937734800000000000000E-14 " " relative error = 2.2892828663371936000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.392542410657497 " " Order of pole (three term test) = 22.190305867289677 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.529999999999884 " " y[1] (analytic) = 0.733681026664571 " " y[1] (numeric) = 0.7336810266645544 " " absolute error = 1.665334536937734800000000000000E-14 " " relative error = 2.2698345417334923000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3986573745292344 " " Order of pole (three term test) = 22.19821812888535 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.539999999999884 " " y[1] (analytic) = 0.7400405555778967 " " y[1] (numeric) = 0.7400405555778802 " " absolute error = 1.654232306691483200000000000000E-14 " " relative error = 2.2353265563935149000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4046128807665213 " " Order of pole (three term test) = 22.206251099205772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.5499999999998835 " " y[1] (analytic) = 0.7465260793857019 " " y[1] (numeric) = 0.7465260793856855 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 2.201035063366203200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41040654724626774 " " Order of pole (three term test) = 22.214401565169908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.559999999999883 " " y[1] (analytic) = 0.7531369495410104 " " y[1] (numeric) = 0.7531369495409941 " " absolute error = 1.6320278461989800000000000000E-14 " " relative error = 2.166973546037807000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4160360565791299 " " Order of pole (three term test) = 22.22266626670005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.569999999999883 " " y[1] (analytic) = 0.7598725049623156 " " y[1] (numeric) = 0.7598725049622995 " " absolute error = 1.60982338570647700000000000000E-14 " " relative error = 2.118544065213036000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4214991570364342 " " Order of pole (three term test) = 22.23104189802578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.579999999999883 " " y[1] (analytic) = 0.7667320720996886 " " y[1] (numeric) = 0.7667320720996726 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 2.08511057986937000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4267936634508376 " " Order of pole (three term test) = 22.239525109006234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.589999999999883 " " y[1] (analytic) = 0.7737149650021318 " " y[1] (numeric) = 0.7737149650021159 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 2.051942895029308000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4319174580903672 " " Order of pole (three term test) = 22.24811250647014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.599999999999882 " " y[1] (analytic) = 0.7808204853861738 " " y[1] (numeric) = 0.7808204853861581 " " absolute error = 1.565414464721470700000000000000E-14 " " relative error = 2.0048327291864745000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4368684915054831 " " Order of pole (three term test) = 22.256800655573002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.609999999999882 " " y[1] (analytic) = 0.7880479227056979 " " y[1] (numeric) = 0.7880479227056822 " " absolute error = 1.565414464721470700000000000000E-14 " " relative error = 1.9864457726717288000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44164478334883245 " " Order of pole (three term test) = 22.265586081171012 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.619999999999882 " " y[1] (analytic) = 0.7953965542229945 " " y[1] (numeric) = 0.7953965542229791 " " absolute error = 1.543210004228967600000000000000E-14 " " relative error = 1.9401768791122004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4462444231673608 " " Order of pole (three term test) = 22.27446526921108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.629999999999882 " " y[1] (analytic) = 0.8028656450810362 " " y[1] (numeric) = 0.8028656450810208 " " absolute error = 1.543210004228967600000000000000E-14 " " relative error = 1.9221273368512434000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45066557116646855 " " Order of pole (three term test) = 22.28343466813638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6399999999998816 " " y[1] (analytic) = 0.8104544483769607 " " y[1] (numeric) = 0.8104544483769457 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 1.8493341436344798000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45490645894590387 " " Order of pole (three term test) = 22.292490690306916 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.649999999999881 " " y[1] (analytic) = 0.8181622052367633 " " y[1] (numeric) = 0.8181622052367483 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 1.831911904082921800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4589653902070994 " " Order of pole (three term test) = 22.301629713434583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.659999999999881 " " y[1] (analytic) = 0.8259881448911804 " " y[1] (numeric) = 0.8259881448911657 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 1.7876729004942218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4628407414316691 " " Order of pole (three term test) = 22.310848082031974 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.669999999999881 " " y[1] (analytic) = 0.8339314847527686 " " y[1] (numeric) = 0.8339314847527539 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 1.757331890328705000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46653096253079385 " " Order of pole (three term test) = 22.32014210887456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.679999999999880 " " y[1] (analytic) = 0.8419914304941608 " " y[1] (numeric) = 0.8419914304941464 " " absolute error = 1.443289932012703500000000000000E-14 " " relative error = 1.7141385051456443000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4700345774652359 " " Order of pole (three term test) = 22.329508076475516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6899999999998805 " " y[1] (analytic) = 0.8501671761274998 " " y[1] (numeric) = 0.8501671761274855 " " absolute error = 1.43218770176645200000000000000E-14 " " relative error = 1.684595385451186000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4733501848357362 " " Order of pole (three term test) = 22.3389422385727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.69999999999988 " " y[1] (analytic) = 0.8584579040850352 " " y[1] (numeric) = 0.8584579040850211 " " absolute error = 1.409983241273948800000000000000E-14 " " relative error = 1.6424605499750655000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4764764584435538 " " Order of pole (three term test) = 22.348440821627033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.70999999999988 " " y[1] (analytic) = 0.8668627853008801 " " y[1] (numeric) = 0.8668627853008662 " " absolute error = 1.387778780781445700000000000000E-14 " " relative error = 1.6009209350240597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4794121478209288 " " Order of pole (three term test) = 22.35800002633196 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.71999999999988 " " y[1] (analytic) = 0.8753809792939171 " " y[1] (numeric) = 0.8753809792939035 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 1.5599771443405314000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4821560787312521 " " Order of pole (three term test) = 22.367616029133043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.72999999999988 " " y[1] (analytic) = 0.8840116342518454 " " y[1] (numeric) = 0.8840116342518318 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 1.5321880816523467000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48470715363874484 " " Order of pole (three term test) = 22.37728498375738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.739999999999880 " " y[1] (analytic) = 0.8927538871163612 " " y[1] (numeric) = 0.8927538871163478 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.4923123256886367000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4870643521474582 " " Order of pole (three term test) = 22.38700302275204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.749999999999880 " " y[1] (analytic) = 0.9016068636694633 " " y[1] (numeric) = 0.9016068636694502 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.4530314950419065000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48922673140941725 " " Order of pole (three term test) = 22.396766259030986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.759999999999879 " " y[1] (analytic) = 0.9105696786208739 " " y[1] (numeric) = 0.910569678620861 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.4143439418230358000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4911934265017485 " " Order of pole (three term test) = 22.406570787429885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.769999999999879 " " y[1] (analytic) = 0.919641435696567 " " y[1] (numeric) = 0.9196414356965542 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 1.3883198698543553000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49296365077263765 " " Order of pole (three term test) = 22.416412686268114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.779999999999879 " " y[1] (analytic) = 0.9288212277283945 " " y[1] (numeric) = 0.9288212277283819 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.3506926633176414000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49453669615597873 " " Order of pole (three term test) = 22.42628801891735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.789999999999878 " " y[1] (analytic) = 0.9381081367448031 " " y[1] (numeric) = 0.9381081367447908 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.3136519224853113000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49591193345459206 " " Order of pole (three term test) = 22.436192835376204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.799999999999878 " " y[1] (analytic) = 0.9475012340626303 " " y[1] (numeric) = 0.9475012340626182 " " absolute error = 1.210143096841420600000000000000E-14 " " relative error = 1.2771942171015996000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4970888125918944 " " Order of pole (three term test) = 22.446123173850154 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.809999999999878 " " y[1] (analytic) = 0.956999580379972 " " y[1] (numeric) = 0.95699958037996 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 1.2529168154066440000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49806686283192275 " " Order of pole (three term test) = 22.45607506233622 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.819999999999878 " " y[1] (analytic) = 0.9666022258701115 " " y[1] (numeric) = 0.9666022258700997 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 1.2174981337781493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49884569296762105 " " Order of pole (three term test) = 22.4660445202117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.8299999999998775 " " y[1] (analytic) = 0.9763082102765018 " " y[1] (numeric) = 0.9763082102764904 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 1.171279421116463000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4994249914773197 " " Order of pole (three term test) = 22.476027559826353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.839999999999877 " " y[1] (analytic) = 0.9861165630087912 " " y[1] (numeric) = 0.9861165630087798 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 1.1596293564675848000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4998045266493386 " " Order of pole (three term test) = 22.486020188097452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.849999999999877 " " y[1] (analytic) = 0.9960263032398795 " " y[1] (numeric) = 0.9960263032398683 " " absolute error = 1.121325254871408100000000000000E-14 " " relative error = 1.1257988380667813000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49998414667466917 " " Order of pole (three term test) = 22.49601840810691 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.859999999999877 " " y[1] (analytic) = 1.0060364400040016 " " y[1] (numeric) = 1.006036440003991 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.059418984501109000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999637797076959 " " Order of pole (three term test) = 22.506018220700035 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.869999999999877 " " y[1] (analytic) = 1.0161459722958237 " " y[1] (numeric) = 1.0161459722958128 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0707305778858178000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49974343389493486 " " Order of pole (three term test) = 22.516015626085135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.879999999999876 " " y[1] (analytic) = 1.0263538891705397 " " y[1] (numeric) = 1.0263538891705295 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 9.9517836238785530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4993231973717726 " " Order of pole (three term test) = 22.52600662543333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.889999999999876 " " y[1] (analytic) = 1.0366591698449708 " " y[1] (numeric) = 1.03665916984496 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0281239337317968000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49870323822721563 " " Order of pole (three term test) = 22.53598722247811 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.899999999999876 " " y[1] (analytic) = 1.047060783799635 " " y[1] (numeric) = 1.0470607837996249 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 9.7549750545389480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49788380443665564 " " Order of pole (three term test) = 22.545953425113716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.909999999999876 " " y[1] (analytic) = 1.0575576908818065 " " y[1] (numeric) = 1.0575576908817963 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 9.6581509591545970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4968652237626833 " " Order of pole (three term test) = 22.555901246991986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.919999999999876 " " y[1] (analytic) = 1.0681488414095233 " " y[1] (numeric) = 1.0681488414095135 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.1466303551937480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4956479036239869 " " Order of pole (three term test) = 22.56582670911679 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.929999999999875 " " y[1] (analytic) = 1.0788331762765593 " " y[1] (numeric) = 1.0788331762765497 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 8.8502265426519790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4942323309323918 " " Order of pole (three term test) = 22.575725841435634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.939999999999875 " " y[1] (analytic) = 1.0896096270583313 " " y[1] (numeric) = 1.089609627058322 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 8.5589124538379860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4926190718981001 " " Order of pole (three term test) = 22.585594684427562 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.949999999999875 " " y[1] (analytic) = 1.100477116118741 " " y[1] (numeric) = 1.1004771161187321 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.0708486045819000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4908087718032161 " " Order of pole (three term test) = 22.595429290686972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.959999999999875 " " y[1] (analytic) = 1.1114345567179393 " " y[1] (numeric) = 1.1114345567179305 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 7.991279507476461000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48880215474364047 " " Order of pole (three term test) = 22.60522572650248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.9699999999998745 " " y[1] (analytic) = 1.1224808531209969 " " y[1] (numeric) = 1.1224808531209884 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 7.5170057143430460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48660002333944236 " " Order of pole (three term test) = 22.614980073430374 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.979999999999874 " " y[1] (analytic) = 1.1336149007074794 " " y[1] (numeric) = 1.1336149007074707 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 7.6390488398412460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4842032584138224 " " Order of pole (three term test) = 22.624688429861944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.989999999999874 " " y[1] (analytic) = 1.1448355860819053 " " y[1] (numeric) = 1.144835586081897 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 7.1762709703525800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4816128186407943 " " Order of pole (three term test) = 22.634346912584054 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.999999999999874 " " y[1] (analytic) = 1.1561417871850885 " " y[1] (numeric) = 1.1561417871850805 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 6.91403586126190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47882974016172875 " " Order of pole (three term test) = 22.643951658332416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.009999999999874 " " y[1] (analytic) = 1.1675323734063405 " " y[1] (numeric) = 1.1675323734063328 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 6.6563988711526120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4758551361709096 " " Order of pole (three term test) = 22.65349882533676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.019999999999873 " " y[1] (analytic) = 1.1790062056965314 " " y[1] (numeric) = 1.1790062056965236 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 6.5916202432410650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4726901964702728 " " Order of pole (three term test) = 22.662984594857598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.029999999999873 " " y[1] (analytic) = 1.1905621366819932 " " y[1] (numeric) = 1.1905621366819856 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 6.3411361195233340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4693361869934996 " " Order of pole (three term test) = 22.67240517271359 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.039999999999873 " " y[1] (analytic) = 1.202199010779257 " " y[1] (numeric) = 1.2021990107792502 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 5.7256599705686070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46579444929966174 " " Order of pole (three term test) = 22.681756790799202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.049999999999873 " " y[1] (analytic) = 1.2139156643106115 " " y[1] (numeric) = 1.2139156643106048 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 5.4874801797157340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46206640003661364 " " Order of pole (three term test) = 22.691035708591887 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.059999999999873 " " y[1] (analytic) = 1.2257109256204666 " " y[1] (numeric) = 1.2257109256204604 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.0723615233776640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4581535303743542 " " Order of pole (three term test) = 22.700238214648245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.069999999999872 " " y[1] (analytic) = 1.2375836151925208 " " y[1] (numeric) = 1.237583615192515 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 4.6648643834483305000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4540574054085773 " " Order of pole (three term test) = 22.709360628088547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.079999999999872 " " y[1] (analytic) = 1.2495325457677113 " " y[1] (numeric) = 1.2495325457677056 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 4.6202555888640673000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4497796635346548 " " Order of pole (three term test) = 22.718399300069052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.089999999999872 " " y[1] (analytic) = 1.2615565224629375 " " y[1] (numeric) = 1.261556522462932 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 4.4002111869615940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4453220157923009 " " Order of pole (three term test) = 22.72735061524148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.099999999999872 " " y[1] (analytic) = 1.2736543428905494 " " y[1] (numeric) = 1.2736543428905445 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.83540584273772360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4406862451811778 " " Order of pole (three term test) = 22.73621099319912 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.109999999999872 " " y[1] (analytic) = 1.2858247972785868 " " y[1] (numeric) = 1.285824797278582 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.7991033604964064000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43587420594772025 " " Order of pole (three term test) = 22.74497688990891 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.119999999999871 " " y[1] (analytic) = 1.2980666685917521 " " y[1] (numeric) = 1.2980666685917475 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 3.592216652850650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4308878228434624 " " Order of pole (three term test) = 22.75364479912906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.129999999999871 " " y[1] (analytic) = 1.3103787326531156 " " y[1] (numeric) = 1.3103787326531113 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 3.2195634654675150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4257290903551616 " " Order of pole (three term test) = 22.762211253811433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.139999999999871 " " y[1] (analytic) = 1.3227597582665314 " " y[1] (numeric) = 1.3227597582665274 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.02156371455414500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42040007190703094 " " Order of pole (three term test) = 22.77067282748839 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.14999999999987 " " y[1] (analytic) = 1.3352085073397557 " " y[1] (numeric) = 1.3352085073397517 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.99339231788877560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41490289903539684 " " Order of pole (three term test) = 22.77902613564328 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.15999999999987 " " y[1] (analytic) = 1.347723735008255 " " y[1] (numeric) = 1.3477237350082512 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.8008398054237810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4092397705361136 " " Order of pole (three term test) = 22.78726783706421 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.16999999999987 " " y[1] (analytic) = 1.3603041897596913 " " y[1] (numeric) = 1.360304189759688 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.4484737303234058000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4034129515850734 " " Order of pole (three term test) = 22.7953946351805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.17999999999987 " " y[1] (analytic) = 1.3729486135590734 " " y[1] (numeric) = 1.3729486135590707 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.94073924747492350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39742477283216704 " " Order of pole (three term test) = 22.80340327938125 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.18999999999987 " " y[1] (analytic) = 1.3856557419745592 " " y[1] (numeric) = 1.3856557419745565 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.92294173681510060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3912776294690537 " " Order of pole (three term test) = 22.81129056631558 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.19999999999987 " " y[1] (analytic) = 1.3984243043038953 " " y[1] (numeric) = 1.398424304303893 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.58781997882652760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3849739802711187 " " Order of pole (three term test) = 22.81905334117387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.20999999999987 " " y[1] (analytic) = 1.41125302370149 " " y[1] (numeric) = 1.4112530237014878 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.57338621208154420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3785163466139931 " " Order of pole (three term test) = 22.826688498949686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.21999999999987 " " y[1] (analytic) = 1.424140617306093 " " y[1] (numeric) = 1.4241406173060915 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09140362657120130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3719073114650391 " " Order of pole (three term test) = 22.8341929856817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.229999999999869 " " y[1] (analytic) = 1.4370857963690848 " " y[1] (numeric) = 1.4370857963690835 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.27061997910125800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.365149518350197 " " Order of pole (three term test) = 22.84156379967529 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.239999999999869 " " y[1] (analytic) = 1.450087266383346 " " y[1] (numeric) = 1.4500872663833448 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.65624973312231800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35824567029661025 " " Order of pole (three term test) = 22.84879799270313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.249999999999869 " " y[1] (analytic) = 1.4631437272127097 " " y[1] (numeric) = 1.4631437272127088 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.07034294157899300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35119852875145025 " " Order of pole (three term test) = 22.855892671184467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.259999999999868 " " y[1] (analytic) = 1.4762538732219734 " " y[1] (numeric) = 1.4762538732219728 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.51232560237918100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3440109124773744 " " Order of pole (three term test) = 22.862844997342503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.269999999999868 " " y[1] (analytic) = 1.4894163934074607 " " y[1] (numeric) = 1.489416393407461 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.490816174092468300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3366856964250587 " " Order of pole (three term test) = 22.869652190339476 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.279999999999868 " " y[1] (analytic) = 1.502629971528123 " " y[1] (numeric) = 1.5026299715281233 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.477706482183498400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3292258105832553 " " Order of pole (three term test) = 22.87631152738894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.289999999999868 " " y[1] (analytic) = 1.5158932862371586 " " y[1] (numeric) = 1.5158932862371592 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.394331849233341000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3216342388068373 " " Order of pole (three term test) = 22.882820344844873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.299999999999867 " " y[1] (analytic) = 1.5292050112141498 " " y[1] (numeric) = 1.5292050112141506 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.80810560511395500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31391401762329657 " " Order of pole (three term test) = 22.88917603926707 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.309999999999867 " " y[1] (analytic) = 1.5425638152976915 " " y[1] (numeric) = 1.5425638152976926 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.1972583151180700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3060682350181708 " " Order of pole (three term test) = 22.895376068462497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.319999999999867 " " y[1] (analytic) = 1.5559683626185077 " " y[1] (numeric) = 1.5559683626185092 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.98935628652178100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29810002919989315 " " Order of pole (three term test) = 22.90141795250216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.329999999999867 " " y[1] (analytic) = 1.5694173127330373 " " y[1] (numeric) = 1.569417312733039 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.13185755311112340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29001258734454943 " " Order of pole (three term test) = 22.90729927471298 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.339999999999867 " " y[1] (analytic) = 1.5829093207574756 " " y[1] (numeric) = 1.5829093207574778 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.4027626346831760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28180914432105114 " " Order of pole (three term test) = 22.9130176826445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.349999999999866 " " y[1] (analytic) = 1.5964430375022642 " " y[1] (numeric) = 1.5964430375022665 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.39087082789019570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2734929813972295 " " Order of pole (three term test) = 22.9185708890098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.359999999999866 " " y[1] (analytic) = 1.6100171096070057 " " y[1] (numeric) = 1.6100171096070084 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.65497325662009300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26506742492737334 " " Order of pole (three term test) = 22.923956672600358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.369999999999866 " " y[1] (analytic) = 1.6236301796758026 " " y[1] (numeric) = 1.623630179675805 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.50433927919660070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2565358450217314 " " Order of pole (three term test) = 22.92917287917457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.379999999999866 " " y[1] (analytic) = 1.6372808864129909 " " y[1] (numeric) = 1.6372808864129935 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.62741486889151160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24790165419851312 " " Order of pole (three term test) = 22.934217422319325 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.389999999999866 " " y[1] (analytic) = 1.6509678647592725 " " y[1] (numeric) = 1.6509678647592758 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.01740393921060020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23916830601892652 " " Order of pole (three term test) = 22.939088284284647 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.399999999999865 " " y[1] (analytic) = 1.6646897460282197 " " y[1] (numeric) = 1.664689746028223 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.00077466796567150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23033929370580114 " " Order of pole (three term test) = 22.943783516790692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.409999999999865 " " y[1] (analytic) = 1.6784451580431397 " " y[1] (numeric) = 1.6784451580431432 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.11666950318622700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22141814874634272 " " Order of pole (three term test) = 22.94830124180705 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.419999999999865 " " y[1] (analytic) = 1.6922327252742932 " " y[1] (numeric) = 1.6922327252742977 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.62427976493647130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2124084394795887 " " Order of pole (three term test) = 22.952639652303958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.429999999999865 " " y[1] (analytic) = 1.7060510689764483 " " y[1] (numeric) = 1.7060510689764528 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.60302412938022750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2033137696691169 " " Order of pole (three term test) = 22.956797012975056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.439999999999864 " " y[1] (analytic) = 1.7198988073267487 " " y[1] (numeric) = 1.7198988073267536 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.84027251344132900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19413777706159263 " " Order of pole (three term test) = 22.96077166093151 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.449999999999864 " " y[1] (analytic) = 1.7337745555629 " " y[1] (numeric) = 1.733774555562905 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.81754123837899700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1848841319317119 " " Order of pole (three term test) = 22.964562006367135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.459999999999864 " " y[1] (analytic) = 1.7476769261216407 " " y[1] (numeric) = 1.747676926121646 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.04923091822626800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17555653561414783 " " Order of pole (three term test) = 22.968166533194285 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.469999999999864 " " y[1] (analytic) = 1.761604528777501 " " y[1] (numeric) = 1.7616045287775066 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.151169875214890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1661587190230607 " " Order of pole (three term test) = 22.9715837996503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.479999999999864 " " y[1] (analytic) = 1.7755559707818211 " " y[1] (numeric) = 1.7755559707818271 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.37652230153916700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15669444115978462 " " Order of pole (three term test) = 22.97481243887416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.489999999999863 " " y[1] (analytic) = 1.789529857002027 " " y[1] (numeric) = 1.7895298570020335 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 3.5983157909494520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14716748760927553 " " Order of pole (three term test) = 22.977851159453206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.499999999999863 " " y[1] (analytic) = 1.803524790061142 " " y[1] (numeric) = 1.8035247900611484 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 3.57039369700463460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1375816690259302 " " Order of pole (three term test) = 22.98069874593974 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.509999999999863 " " y[1] (analytic) = 1.8175393704775216 " " y[1] (numeric) = 1.8175393704775284 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 3.78719870638483100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12794081960937206 " " Order of pole (three term test) = 22.98335405933713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.519999999999863 " " y[1] (analytic) = 1.8315721968048033 " " y[1] (numeric) = 1.8315721968048106 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.00064598889898150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11824879557082495 " " Order of pole (three term test) = 22.985816037555423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.529999999999863 " " y[1] (analytic) = 1.8456218657720487 " " y[1] (numeric) = 1.8456218657720562 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.09050017636900850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10850947359067885 " " Order of pole (three term test) = 22.988083695836146 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.539999999999862 " " y[1] (analytic) = 1.8596869724240688 " " y[1] (numeric) = 1.8596869724240768 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 4.2983609047288240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.87267492678707800E-2 " " Order of pole (three term test) = 22.990156127146232 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.549999999999862 " " y[1] (analytic) = 1.8737661102619194 " " y[1] (numeric) = 1.8737661102619276 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 4.3845655747705653000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.89045355616943300E-2 " " Order of pole (three term test) = 22.9920325025408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.559999999999862 " " y[1] (analytic) = 1.8878578713835497 " " y[1] (numeric) = 1.8878578713835579 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 4.351837342609470300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.90467612266706700E-2 " " Order of pole (three term test) = 22.993712071494684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.569999999999862 " " y[1] (analytic) = 1.9019608466245894 " " y[1] (numeric) = 1.9019608466245983 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 4.6698039093516347000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.91573692411002200E-2 " " Order of pole (three term test) = 22.995194162202715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.579999999999862 " " y[1] (analytic) = 1.9160736256992679 " " y[1] (numeric) = 1.9160736256992772 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 4.8671790487423740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.92403152299187300E-2 " " Order of pole (three term test) = 22.99647818184837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.589999999999861 " " y[1] (analytic) = 1.9301947973414377 " " y[1] (numeric) = 1.9301947973414477 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 5.1766833251177270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.92995658825052700E-2 " " Order of pole (three term test) = 22.997563616840896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.599999999999861 " " y[1] (analytic) = 1.9443229494457035 " " y[1] (numeric) = 1.9443229494457133 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 5.0248661723026230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.933909736605812300E-2 " " Order of pole (three term test) = 22.998450033020784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.60999999999986 " " y[1] (analytic) = 1.9584566692086263 " " y[1] (numeric) = 1.958456669208637 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.442112252965110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.936289373517891300E-2 " " Order of pole (three term test) = 22.999137075833378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.61999999999986 " " y[1] (analytic) = 1.9725945432700098 " " y[1] (numeric) = 1.9725945432700203 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 5.2905430906121950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.937494533830506000E-2 " " Order of pole (three term test) = 22.99962447047071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.62999999999986 " " y[1] (analytic) = 1.9867351578542278 " " y[1] (numeric) = 1.986735157854239 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.5881782744724380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.379247221625581000E-3 " " Order of pole (three term test) = 22.999912021981427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.63999999999986 " " y[1] (analytic) = 2.000877098911607 " " y[1] (numeric) = 2.000877098911618 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.548681751763120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.2020246888826060000E-4 " " Order of pole (three term test) = 22.99999961534875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.64999999999986 " " y[1] (analytic) = 2.0150189522598256 " " y[1] (numeric) = 2.0150189522598367 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.5097398631414930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.061940408668260300E-2 " " Order of pole (three term test) = 22.999887215536507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.65999999999986 " " y[1] (analytic) = 2.029159303725334 " " y[1] (numeric) = 2.0291593037253453 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.4713448204234030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.06143580844332320E-2 " " Order of pole (three term test) = 22.999574867503124 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.66999999999986 " " y[1] (analytic) = 2.043296739284769 " " y[1] (numeric) = 2.0432967392847807 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.6508285038145150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.060106661380422300E-2 " " Order of pole (three term test) = 22.999062696183653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.67999999999986 " " y[1] (analytic) = 2.0574298452063564 " " y[1] (numeric) = 2.0574298452063684 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.8278578459860310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.057553512453855300E-2 " " Order of pole (three term test) = 22.998350906439782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.68999999999986 " " y[1] (analytic) = 2.071557208191281 " " y[1] (numeric) = 2.0715572081912934 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 6.0024882859298710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.05337739622235300E-2 " " Order of pole (three term test) = 22.997439782977942 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.699999999999859 " " y[1] (analytic) = 2.0856774155150175 " " y[1] (numeric) = 2.08567741551503 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 5.9618509474684490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.04717999640979200E-2 " " Order of pole (three term test) = 22.996329690235335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.709999999999859 " " y[1] (analytic) = 2.0997890551686 " " y[1] (numeric) = 2.0997890551686127 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 6.1332766041195250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.03856380522662200E-2 " " Order of pole (three term test) = 22.995021072234273 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.719999999999859 " " y[1] (analytic) = 2.1138907159998226 " " y[1] (numeric) = 2.113890715999836 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 6.3024432600341650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.02713228236765900E-2 " " Order of pole (three term test) = 22.993514452404526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.729999999999858 " " y[1] (analytic) = 2.127980987854354 " " y[1] (numeric) = 2.1279809878543676 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.4694024918112580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.0124900136227890E-2 " " Order of pole (three term test) = 22.991810433373917 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.739999999999858 " " y[1] (analytic) = 2.1420584617167506 " " y[1] (numeric) = 2.1420584617167644 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.4268859843902580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.9942428690373400E-2 " " Order of pole (three term test) = 22.98990969672734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.749999999999858 " " y[1] (analytic) = 2.156121729851357 " " y[1] (numeric) = 2.156121729851371 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.5909333960386830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10971998160559134 " " Order of pole (three term test) = 22.98781300273411 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.759999999999858 " " y[1] (analytic) = 2.1701693859430793 " " y[1] (numeric) = 2.170169385943094 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.7529032618269770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11945364799107976 " " Order of pole (three term test) = 22.985521190043873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.769999999999857 " " y[1] (analytic) = 2.184200025238015 " " y[1] (numeric) = 2.1842000252380296 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.709524656953110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12913953451006652 " " Order of pole (three term test) = 22.983035175351155 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.779999999999857 " " y[1] (analytic) = 2.1982122446839263 " " y[1] (numeric) = 2.198212244683941 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.666755660420430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1387737669370865 " " Order of pole (three term test) = 22.980355953028685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.789999999999857 " " y[1] (analytic) = 2.2122046430705447 " " y[1] (numeric) = 2.21220464307056 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 7.0260779866994150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14835249170762405 " " Order of pole (three term test) = 22.97748459472965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.799999999999857 " " y[1] (analytic) = 2.2261758211696936 " " y[1] (numeric) = 2.226175821169709 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 6.9819832723658860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.157871877459485 " " Order of pole (three term test) = 22.974422248959108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.809999999999857 " " y[1] (analytic) = 2.240124381875204 " " y[1] (numeric) = 2.24012438187522 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 7.1367517285890110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16732811656529303 " " Order of pole (three term test) = 22.971170140614525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.819999999999856 " " y[1] (analytic) = 2.2540489303426305 " " y[1] (numeric) = 2.2540489303426465 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 7.0926639343947570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17671742665548631 " " Order of pole (three term test) = 22.967729570495877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.829999999999856 " " y[1] (analytic) = 2.2679480741287295 " " y[1] (numeric) = 2.2679480741287454 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 7.0491964683732940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18603605213121863 " " Order of pole (three term test) = 22.964101914785356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.839999999999856 " " y[1] (analytic) = 2.2818204233307045 " " y[1] (numeric) = 2.281820423330721 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 7.2009613887441870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19528026566654555 " " Order of pole (three term test) = 22.96028862449685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.849999999999856 " " y[1] (analytic) = 2.2956645907251962 " " y[1] (numeric) = 2.295664590725213 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.3509823876193850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20444636969930885 " " Order of pole (three term test) = 22.956291224895647 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.859999999999856 " " y[1] (analytic) = 2.309479191907002 " " y[1] (numeric) = 2.309479191907019 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.3070110496938030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21353069791010698 " " Order of pole (three term test) = 22.952111314888292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.869999999999855 " " y[1] (analytic) = 2.3232628454275153 " " y[1] (numeric) = 2.3232628454275326 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 7.4548083176380320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22252961668877944 " " Order of pole (three term test) = 22.947750566383057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.879999999999855 " " y[1] (analytic) = 2.3370141729328706 " " y[1] (numeric) = 2.3370141729328884 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.6009673367576760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23143952658779834 " " Order of pole (three term test) = 22.943210723621192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.889999999999855 " " y[1] (analytic) = 2.3507317993017773 " " y[1] (numeric) = 2.350731799301795 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.5566121151203650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24025686376200128 " " Order of pole (three term test) = 22.938493602479266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.899999999999855 " " y[1] (analytic) = 2.3644143527830286 " " y[1] (numeric) = 2.3644143527830472 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 7.8885271491219940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2489781013940817 " " Order of pole (three term test) = 22.93360108974287 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.909999999999854 " " y[1] (analytic) = 2.3780604651326795 " " y[1] (numeric) = 2.3780604651326986 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 8.0300044105427220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25759975110526784 " " Order of pole (three term test) = 22.928535142351823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.919999999999854 " " y[1] (analytic) = 2.3916687717508665 " " y[1] (numeric) = 2.391668771750886 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 8.1699963908874310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26611836435062947 " " Order of pole (three term test) = 22.923297786617578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.929999999999854 " " y[1] (analytic) = 2.4052379118182685 " " y[1] (numeric) = 2.4052379118182876 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 7.9392711755141790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2745305337984488 " " Order of pole (three term test) = 22.917891117412587 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.939999999999854 " " y[1] (analytic) = 2.418766528432185 " " y[1] (numeric) = 2.418766528432205 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 8.2620683759032390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28283289469310696 " " Order of pole (three term test) = 22.912317297332425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.949999999999854 " " y[1] (analytic) = 2.432253268742229 " " y[1] (numeric) = 2.4322532687422496 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.398839017150009000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29102212620094253 " " Order of pole (three term test) = 22.90657855583083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.959999999999853 " " y[1] (analytic) = 2.445696784085609 " " y[1] (numeric) = 2.44569678408563 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.5342520784957340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29909495273854136 " " Order of pole (three term test) = 22.900677188327865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.969999999999853 " " y[1] (analytic) = 2.459095730121994 " " y[1] (numeric) = 2.459095730122015 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.4877512523343250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3070481452829246 " " Order of pole (three term test) = 22.89461555529188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.979999999999853 " " y[1] (analytic) = 2.4724487669679447 " " y[1] (numeric) = 2.472448766967966 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 8.6215263012078300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31487852266311495 " " Order of pole (three term test) = 22.88839608129524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.989999999999853 " " y[1] (analytic) = 2.4857545593309047 " " y[1] (numeric) = 2.485754559330926 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 8.5753768379050070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3225829528325641 " " Order of pole (three term test) = 22.882021254044616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.999999999999853 " " y[1] (analytic) = 2.499011776642725 " " y[1] (numeric) = 2.4990117766427473 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.8852964600004870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33015835412192934 " " Order of pole (three term test) = 22.875493623385932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.009999999999852 " " y[1] (analytic) = 2.5122190931927237 " " y[1] (numeric) = 2.512219093192746 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.8385844023993830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3376016964716983 " " Order of pole (three term test) = 22.86881580028441 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.019999999999852 " " y[1] (analytic) = 2.5253751882602504 " " y[1] (numeric) = 2.525375188260273 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 8.9683900466116270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3449100026441747 " " Order of pole (three term test) = 22.861990455780248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.029999999999852 " " y[1] (analytic) = 2.538478746246763 " " y[1] (numeric) = 2.5384787462467853 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.7471524137569660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35208034941433203 " " Order of pole (three term test) = 22.855020319920254 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.039999999999852 " " y[1] (analytic) = 2.551528456807381 " " y[1] (numeric) = 2.5515284568074037 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 8.8764636905881730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3591098687390658 " " Order of pole (three term test) = 22.847908180665833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.049999999999851 " " y[1] (analytic) = 2.564523014981924 " " y[1] (numeric) = 2.564523014981947 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 9.0046526302537490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3659957489043716 " " Order of pole (three term test) = 22.84065688277786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.059999999999851 " " y[1] (analytic) = 2.5774611213254035 " " y[1] (numeric) = 2.5774611213254266 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 8.9594518889690830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37273523564999417 " " Order of pole (three term test) = 22.8332693266788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.069999999999851 " " y[1] (analytic) = 2.590341482037966 " " y[1] (numeric) = 2.5903414820379895 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 9.0863418144914490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3793256332710931 " " Order of pole (three term test) = 22.825748467292605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.07999999999985 " " y[1] (analytic) = 2.603162809094274 " " y[1] (numeric) = 2.603162809094298 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 9.2121849805648910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38576430569649156 " " Order of pole (three term test) = 22.818097312862758 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.08999999999985 " " y[1] (analytic) = 2.615923820372307 " " y[1] (numeric) = 2.6159238203723314 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.3370098744990240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3920486775430672 " " Order of pole (three term test) = 22.810318923748994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.09999999999985 " " y[1] (analytic) = 2.6286232397815708 " " y[1] (numeric) = 2.6286232397815956 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.4608445117718850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3981762351458714 " " Order of pole (three term test) = 22.80241641120326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.10999999999985 " " y[1] (analytic) = 2.641259797390707 " " y[1] (numeric) = 2.6412597973907324 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.583716447151580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4041445275635628 " " Order of pole (three term test) = 22.794392936125217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.11999999999985 " " y[1] (analytic) = 2.653832229554486 " " y[1] (numeric) = 2.6538322295545114 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.5383139444738070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4099511675587509 " " Order of pole (three term test) = 22.786251707797906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.12999999999985 " " y[1] (analytic) = 2.6663392790401685 " " y[1] (numeric) = 2.6663392790401934 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.3270184882682560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4155938325528579 " " Order of pole (three term test) = 22.77799598260411 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.13999999999985 " " y[1] (analytic) = 2.678779695153227 " " y[1] (numeric) = 2.6787796951532523 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.449483661255560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4210702655551214 " " Order of pole (three term test) = 22.76962906272385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.14999999999985 " " y[1] (analytic) = 2.6911522338624185 " " y[1] (numeric) = 2.691152233862444 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 9.4060397784050690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4263782760653577 " " Order of pole (three term test) = 22.761154294813494 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.15999999999985 " " y[1] (analytic) = 2.7034556579241817 " " y[1] (numeric) = 2.7034556579242075 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.5275001444192320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43151574095013606 " " Order of pole (three term test) = 22.75257506866723 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.169999999999849 " " y[1] (analytic) = 2.7156887370063636 " " y[1] (numeric) = 2.71568873700639 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.6481098971734990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4364806052920008 " " Order of pole (three term test) = 22.74389481586112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.179999999999849 " " y[1] (analytic) = 2.7278502478112507 " " y[1] (numeric) = 2.727850247811277 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.6050959550205670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44127088321141267 " " Order of pole (three term test) = 22.735117008380552 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.189999999999849 " " y[1] (analytic) = 2.739938974197896 " " y[1] (numeric) = 2.7399389741979228 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 9.7247978301429340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4458846586610731 " " Order of pole (three term test) = 22.726245157231475 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.199999999999848 " " y[1] (analytic) = 2.751953707303735 " " y[1] (numeric) = 2.7519537073037625 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 1.0005085091958267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45032008619231856 " " Order of pole (three term test) = 22.717282811036085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.209999999999848 " " y[1] (analytic) = 2.76389324566547 " " y[1] (numeric) = 2.7638932456654977 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 9.9618648635883020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45457539169327504 " " Order of pole (three term test) = 22.708233554613336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.219999999999848 " " y[1] (analytic) = 2.775756395339214 " " y[1] (numeric) = 2.775756395339242 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0079277946555866000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4586488730984786 " " Order of pole (three term test) = 22.699101007545156 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.229999999999848 " " y[1] (analytic) = 2.787541970019886 " " y[1] (numeric) = 2.787541970019914 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0195975427843067000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4625389010696796 " " Order of pole (three term test) = 22.689888822728594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.239999999999847 " " y[1] (analytic) = 2.799248791159838 " " y[1] (numeric) = 2.799248791159867 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.0311980389672275000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46624391964755574 " " Order of pole (three term test) = 22.68060068491477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.249999999999847 " " y[1] (analytic) = 2.8108756880867127 " " y[1] (numeric) = 2.810875688086742 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0427315577963031000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46976244687407553 " " Order of pole (three term test) = 22.67124030923495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.259999999999847 " " y[1] (analytic) = 2.8224214981205065 " " y[1] (numeric) = 2.8224214981205358 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0384660076328796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4730930753852617 " " Order of pole (three term test) = 22.661811439714608 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.269999999999847 " " y[1] (analytic) = 2.8338850666898376 " " y[1] (numeric) = 2.8338850666898665 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.0185945428609497000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47623447297411725 " " Order of pole (three term test) = 22.652317847775844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.279999999999847 " " y[1] (analytic) = 2.8452652474474007 " " y[1] (numeric) = 2.8452652474474305 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0457364945727873000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47918538312349146 " " Order of pole (three term test) = 22.64276333072884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.289999999999846 " " y[1] (analytic) = 2.8565609023846052 " " y[1] (numeric) = 2.856560902384635 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0416013548010168000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48194462550866957 " " Order of pole (three term test) = 22.633151710253042 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.299999999999846 " " y[1] (analytic) = 2.867770901945369 " " y[1] (numeric) = 2.8677709019453994 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0530152966305371000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4845110964694867 " " Order of pole (three term test) = 22.62348683086845 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.309999999999846 " " y[1] (analytic) = 2.8788941251390785 " " y[1] (numeric) = 2.878894125139109 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0643724342649805000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4868837694517781 " " Order of pole (three term test) = 22.613772558398008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.319999999999846 " " y[1] (analytic) = 2.889929459652684 " " y[1] (numeric) = 2.8899294596527145 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0603080769776625000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4890616954179855 " " Order of pole (three term test) = 22.60401277842114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.329999999999846 " " y[1] (analytic) = 2.900875801961929 " " y[1] (numeric) = 2.90087580196196 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0716158433422086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4910440032267618 " " Order of pole (three term test) = 22.594211394719725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.339999999999845 " " y[1] (analytic) = 2.9117320574417054 " " y[1] (numeric) = 2.9117320574417365 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0676203742736294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4928298999814132 " " Order of pole (three term test) = 22.584372327716554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.349999999999845 " " y[1] (analytic) = 2.9224971404755116 " " y[1] (numeric) = 2.922497140475543 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0788833105316309000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49441867134705 " " Order of pole (three term test) = 22.57449951290726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.359999999999845 " " y[1] (analytic) = 2.933169974564015 " " y[1] (numeric) = 2.933169974564047 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.090097859533598000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4958096818363087 " " Order of pole (three term test) = 22.564596899286094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.369999999999845 " " y[1] (analytic) = 2.943749492432702 " " y[1] (numeric) = 2.9437494924327336 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0710943298812398000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4970023750635409 " " Order of pole (three term test) = 22.55466844776651 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.379999999999844 " " y[1] (analytic) = 2.9542346361386005 " " y[1] (numeric) = 2.9542346361386325 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.0823251043795698000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49799627396735746 " " Order of pole (three term test) = 22.54471812959672 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.389999999999844 " " y[1] (analytic) = 2.9646243571760778 " " y[1] (numeric) = 2.96462435717611 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0935116363253011000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4987909810014487 " " Order of pole (three term test) = 22.534749924771322 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.399999999999844 " " y[1] (analytic) = 2.9749176165816884 " " y[1] (numeric) = 2.9749176165817213 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.1046558515010312000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49938617829359744 " " Order of pole (three term test) = 22.52476782043934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.409999999999844 " " y[1] (analytic) = 2.98511338503807 " " y[1] (numeric) = 2.985113385038103 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.1008828573687673000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49978162777282215 " " Order of pole (three term test) = 22.514775809309423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.419999999999844 " " y[1] (analytic) = 2.995210642976873 " " y[1] (numeric) = 2.9952106429769056 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0971716331858127000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999771712646042 " " Order of pole (three term test) = 22.504777888052782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.429999999999843 " " y[1] (analytic) = 3.0052083806807173 " " y[1] (numeric) = 3.00520838068075 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0935215587765945000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999727305541533 " " Order of pole (three term test) = 22.494778055704625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.439999999999843 " " y[1] (analytic) = 3.0151055983841637 " " y[1] (numeric) = 3.0151055983841974 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1193896481334605000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49976830741769535 " " Order of pole (three term test) = 22.48478031206456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.449999999999843 " " y[1] (analytic) = 3.024901306373691 " " y[1] (numeric) = 3.024901306373725 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1157646656930383000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4993639836217587 " " Order of pole (three term test) = 22.47478865609675 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.459999999999843 " " y[1] (analytic) = 3.034594525086663 " " y[1] (numeric) = 3.0345945250866966 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1122006472229067000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.498759920890471 " " Order of pole (three term test) = 22.464807084330346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.469999999999843 " " y[1] (analytic) = 3.0441842852092846 " " y[1] (numeric) = 3.044184285209319 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1232851218829532000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49795636084087097 " " Order of pole (three term test) = 22.454839589260988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.479999999999842 " " y[1] (analytic) = 3.0536696277735365 " " y[1] (numeric) = 3.0536696277735706 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1197959611428782000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49695362488626416 " " Order of pole (three term test) = 22.444890157753793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.489999999999842 " " y[1] (analytic) = 3.0630496042530657 " " y[1] (numeric) = 3.0630496042531004 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.1308650803502644000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4957521141076627 " " Order of pole (three term test) = 22.434962769448695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.499999999999842 " " y[1] (analytic) = 3.072323276658042 " " y[1] (numeric) = 3.0723232766580764 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1129971060744205000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49435230909335837 " " Order of pole (three term test) = 22.425061395168676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.509999999999842 " " y[1] (analytic) = 3.0814897176289517 " " y[1] (numeric) = 3.0814897176289864 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.1240978079575675000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49275476974669286 " " Order of pole (three term test) = 22.415189995331428 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.519999999999841 " " y[1] (analytic) = 3.090548010529337 " " y[1] (numeric) = 3.090548010529372 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1351723855649166000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4909601350621048 " " Order of pole (three term test) = 22.405352518365255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.529999999999841 " " y[1] (analytic) = 3.099497249537457 " " y[1] (numeric) = 3.099497249537492 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1318947801418583000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48896912286953964 " " Order of pole (three term test) = 22.395552899129786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.539999999999841 " " y[1] (analytic) = 3.108336539736867 " " y[1] (numeric) = 3.1083365397369027 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1429630071849464000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4867825295473279 " " Order of pole (three term test) = 22.385795057342055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.54999999999984 " " y[1] (analytic) = 3.117064997205915 " " y[1] (numeric) = 3.1170649972059503 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1397624630814868000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48440122970364463 " " Order of pole (three term test) = 22.376082896008672 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.55999999999984 " " y[1] (analytic) = 3.1256817491061257 " " y[1] (numeric) = 3.1256817491061617 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.150828167587504100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48182617582667675 " " Order of pole (three term test) = 22.36642029986468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.56999999999984 " " y[1] (analytic) = 3.1341859337694915 " " y[1] (numeric) = 3.1341859337695275 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.1477055528289098000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47905839790364196 " " Order of pole (three term test) = 22.35681113381972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.57999999999984 " " y[1] (analytic) = 3.142576700784632 " " y[1] (numeric) = 3.142576700784668 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.144641147147621000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47609900300880537 " " Order of pole (three term test) = 22.34725924141205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.58999999999984 " " y[1] (analytic) = 3.150853211081838 " " y[1] (numeric) = 3.1508532110818743 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1557287111830265000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47294917486066745 " " Order of pole (three term test) = 22.337768443271308 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.59999999999984 " " y[1] (analytic) = 3.159014637016977 " " y[1] (numeric) = 3.1590146370170133 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1527428452212465000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46961017334849026 " " Order of pole (three term test) = 22.3283425355902 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.60999999999984 " " y[1] (analytic) = 3.1670601624542565 " " y[1] (numeric) = 3.1670601624542933 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1638365716738283000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4660833340283593 " " Order of pole (three term test) = 22.31898528860612 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.61999999999984 " " y[1] (analytic) = 3.1749889828478377 " " y[1] (numeric) = 3.1749889828478746 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1609301517794178000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46237006758897825 " " Order of pole (three term test) = 22.309700445093096 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.62999999999984 " " y[1] (analytic) = 3.182800305322288 " " y[1] (numeric) = 3.1828003053223255 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1720337454104879000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.458471859287414 " " Order of pole (three term test) = 22.30049171886475 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.639999999999839 " " y[1] (analytic) = 3.1904933487518705 " " y[1] (numeric) = 3.190493348751908 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.169207691406048000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4543902683550113 " " Order of pole (three term test) = 22.29136279328878 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.649999999999839 " " y[1] (analytic) = 3.1980673438386518 " " y[1] (numeric) = 3.198067343838689 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1664386523715208000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4501269273737226 " " Order of pole (three term test) = 22.2823173198137 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.659999999999838 " " y[1] (analytic) = 3.2055215331894353 " " y[1] (numeric) = 3.2055215331894726 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1637261906111411000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.445683541623097 " " Order of pole (three term test) = 22.273358916508297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.669999999999838 " " y[1] (analytic) = 3.212855171391498 " " y[1] (numeric) = 3.2128551713915354 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1610698782680885000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44106188839818994 " " Order of pole (three term test) = 22.26449116661445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.679999999999838 " " y[1] (analytic) = 3.2200675250871305 " " y[1] (numeric) = 3.220067525087168 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1722605983622635000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43626381629867045 " " Order of pole (three term test) = 22.25571761711388 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.689999999999838 " " y[1] (analytic) = 3.227157873046974 " " y[1] (numeric) = 3.227157873047012 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1834460398135432000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43129124448940487 " " Order of pole (three term test) = 22.247041777309413 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.699999999999838 " " y[1] (analytic) = 3.234125506242141 " " y[1] (numeric) = 3.234125506242179 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.180896411515019000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4261461619328166 " " Order of pole (three term test) = 22.23846711742129 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.709999999999837 " " y[1] (analytic) = 3.240969727915118 " " y[1] (numeric) = 3.2409697279151564 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1784026156786627000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42083062659332865 " " Order of pole (three term test) = 22.229997067199136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.719999999999837 " " y[1] (analytic) = 3.247689853649442 " " y[1] (numeric) = 3.2476898536494803 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1759642628494606000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4153467646142035 " " Order of pole (three term test) = 22.221635014550117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.729999999999837 " " y[1] (analytic) = 3.254285211438139 " " y[1] (numeric) = 3.2542852114381775 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1872272633375448000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4096967694671154 " " Order of pole (three term test) = 22.21338430418379 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.739999999999837 " " y[1] (analytic) = 3.260755141750926 " " y[1] (numeric) = 3.260755141750965 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1848715888617513000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40388290107479125 " " Order of pole (three term test) = 22.205248236274297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.749999999999837 " " y[1] (analytic) = 3.267098997600164 " " y[1] (numeric) = 3.2670989976002027 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1825708766503618000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3979074849070712 " " Order of pole (three term test) = 22.197230065140335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.759999999999836 " " y[1] (analytic) = 3.2733161446055545 " " y[1] (numeric) = 3.273316144605593 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.180324770053984100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39177291105075013 " " Order of pole (three term test) = 22.18933299794342 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.769999999999836 " " y[1] (analytic) = 3.279405961057577 " " y[1] (numeric) = 3.2794059610576163 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1916746792215573000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3854816332535782 " " Order of pole (three term test) = 22.18156019340516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.779999999999836 " " y[1] (analytic) = 3.285367837979663 " " y[1] (numeric) = 3.2853678379797016 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1759949924120068000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37903616794279166 " " Order of pole (three term test) = 22.173914760543745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.789999999999836 " " y[1] (analytic) = 3.2912011791890863 " " y[1] (numeric) = 3.2912011791891254 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1874038789823942000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37243909321857566 " " Order of pole (three term test) = 22.16639975743035 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.799999999999836 " " y[1] (analytic) = 3.2969054013565886 " " y[1] (numeric) = 3.2969054013566277 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1853494628849585000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36569304782286105 " " Order of pole (three term test) = 22.159018189966055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.809999999999835 " " y[1] (analytic) = 3.302479934064706 " " y[1] (numeric) = 3.302479934064745 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1833486121657025000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3588007300838594 " " Order of pole (three term test) = 22.151773010679403 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.819999999999835 " " y[1] (analytic) = 3.3079242198648133 " " y[1] (numeric) = 3.3079242198648524 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1814010197731376000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3517648968367702 " " Order of pole (three term test) = 22.144667117545506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.829999999999835 " " y[1] (analytic) = 3.313237714332867 " " y[1] (numeric) = 3.3132377143329066 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.192909868968272000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34458836232108236 " " Order of pole (three term test) = 22.137703352826893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.839999999999835 " " y[1] (analytic) = 3.318419886123849 " " y[1] (numeric) = 3.3184198861238885 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.191046975156069100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3372739970549163 " " Order of pole (three term test) = 22.13088450193658 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.849999999999834 " " y[1] (analytic) = 3.3234702170248975 " " y[1] (numeric) = 3.3234702170249375 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.202599279565206800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3298247266868551 " " Order of pole (three term test) = 22.124213292324033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.859999999999834 " " y[1] (analytic) = 3.3283882020071323 " " y[1] (numeric) = 3.3283882020071722 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2008223338372472000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32224353082572327 " " Order of pole (three term test) = 22.11769239238413 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.869999999999834 " " y[1] (analytic) = 3.3331733492761533 " " y[1] (numeric) = 3.333173349276193 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1857751018331754000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3145334418487848 " " Order of pole (three term test) = 22.111324410389898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.879999999999834 " " y[1] (analytic) = 3.3378251803212198 " " y[1] (numeric) = 3.3378251803212597 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.1974272685743016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3066975436888296 " " Order of pole (three term test) = 22.105111893449248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.889999999999834 " " y[1] (analytic) = 3.3423432299631055 " " y[1] (numeric) = 3.3423432299631455 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.1958086329436256000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2987389706006452 " " Order of pole (three term test) = 22.099057326486108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.899999999999833 " " y[1] (analytic) = 3.34672704640061 " " y[1] (numeric) = 3.3467270464006504 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.2075116236269925000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2906609059073535 " " Order of pole (three term test) = 22.09316313124654 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.909999999999833 " " y[1] (analytic) = 3.350976191255744 " " y[1] (numeric) = 3.350976191255784 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.192727927784172900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2824665807271265 " " Order of pole (three term test) = 22.087431665330058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.919999999999833 " " y[1] (analytic) = 3.3550902396175615 " " y[1] (numeric) = 3.3550902396176014 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.1912653917487923000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2741592726807789 " " Order of pole (three term test) = 22.08186522124661 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.929999999999833 " " y[1] (analytic) = 3.3590687800846557 " " y[1] (numeric) = 3.3590687800846957 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.1898544359516913000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2657423045807675 " " Order of pole (three term test) = 22.076466025499602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.939999999999833 " " y[1] (analytic) = 3.362911414806294 " " y[1] (numeric) = 3.362911414806335 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2149058439756466000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25721904310210736 " " Order of pole (three term test) = 22.071236237695356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.949999999999832 " " y[1] (analytic) = 3.3666177595222084 " " y[1] (numeric) = 3.3666177595222493 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2135683414206218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24859289743574717 " " Order of pole (three term test) = 22.06617794967925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.959999999999832 " " y[1] (analytic) = 3.370187443601015 " " y[1] (numeric) = 3.3701874436010555 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.1991059480411485000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23986731792494145 " " Order of pole (three term test) = 22.061293184699057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.969999999999832 " " y[1] (analytic) = 3.3736201100772805 " " y[1] (numeric) = 3.373620110077321 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.1978858548904597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23104579468515368 " " Order of pole (three term test) = 22.056583896595637 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.979999999999832 " " y[1] (analytic) = 3.3769154156872174 " " y[1] (numeric) = 3.3769154156872583 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2098676536703049000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22213185620806158 " " Order of pole (three term test) = 22.05205196902145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.989999999999831 " " y[1] (analytic) = 3.3800730309030116 " " y[1] (numeric) = 3.3800730309030524 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2087374128508319000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2131290679502039 " " Order of pole (three term test) = 22.04769921468709 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.999999999999831 " " y[1] (analytic) = 3.3830926399657724 " " y[1] (numeric) = 3.383092639965813 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2076585436519145000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20404103090684994 " " Order of pole (three term test) = 22.043527374636252 " " "NO COMPLEX POLE (six term test) for Equation 1" "Finished!" "diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; " Iterations = 1001 "Total Elapsed Time "= 29 Seconds "Elapsed Time(since restart) "= 29 Seconds "Time to Timeout "= 9 Minutes 30 Seconds Percent Done = 100.19999999999831 "%" (%o226) true (%o226) diffeq.max