(%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_g,MAX_TERMS) (%o163) array_tmp2_g (%i164) array(array_tmp2,MAX_TERMS) (%o164) array_tmp2 (%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(2.0-expt(cos(x),2)/2.0) expt(cos(x), 2) (%o212) exact_soln_y(x) := block(2.0 - ---------------) 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]:cos(array_x[1]), array_tmp2_g[1]:sin(array_x[1]), array_tmp3[1]:array_tmp1[1]*array_tmp2[1], array_tmp4[1]:array_tmp3[1]+array_const_0D0[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_tmp2_g[1]*array_x[2])/1, array_tmp2_g[2]:array_tmp2[1]*array_x[2]/1, array_tmp3[2]:ats(2,array_tmp1,array_tmp2,1), array_tmp4[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_tmp2_g[2]*array_x[2])/2, array_tmp2_g[3]:array_tmp2[2]*array_x[2]/2, array_tmp3[3]:ats(3,array_tmp1,array_tmp2,1), array_tmp4[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_tmp2_g[3]*array_x[2])/3, array_tmp2_g[4]:array_tmp2[3]*array_x[2]/3, array_tmp3[4]:ats(4,array_tmp1,array_tmp2,1), array_tmp4[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_tmp2_g[4]*array_x[2])/4, array_tmp2_g[5]:array_tmp2[4]*array_x[2]/4, array_tmp3[5]:ats(5,array_tmp1,array_tmp2,1), array_tmp4[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_tmp2_g[kkk-1]*array_x[2])/(kkk-1), array_tmp2_g[kkk] :array_tmp2[kkk-1]*array_x[2]/(kkk-1), array_tmp3[kkk]:ats(kkk,array_tmp1,array_tmp2,1), array_tmp4[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 : cos(array_x ), array_tmp2_g : sin(array_x ), 1 1 1 1 array_tmp3 : array_tmp1 array_tmp2 , 1 1 1 array_tmp4 : array_tmp3 + array_const_0D0 , 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_tmp2_g array_x array_tmp2 array_x 1 2 1 2 array_tmp2 : ------------------------, array_tmp2_g : --------------------, 2 1 2 1 array_tmp3 : ats(2, array_tmp1, array_tmp2, 1), array_tmp4 : array_tmp3 , 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_tmp2_g array_x array_tmp2 array_x 2 2 2 2 array_tmp2 : ------------------------, array_tmp2_g : --------------------, 3 2 3 2 array_tmp3 : ats(3, array_tmp1, array_tmp2, 1), array_tmp4 : array_tmp3 , 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_tmp2_g array_x array_tmp2 array_x 3 2 3 2 array_tmp2 : ------------------------, array_tmp2_g : --------------------, 4 3 4 3 array_tmp3 : ats(4, array_tmp1, array_tmp2, 1), array_tmp4 : array_tmp3 , 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_tmp2_g array_x array_tmp2 array_x 4 2 4 2 array_tmp2 : ------------------------, array_tmp2_g : --------------------, 5 4 5 4 array_tmp3 : ats(5, array_tmp1, array_tmp2, 1), array_tmp4 : array_tmp3 , 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 : ----------------------------, kkk kkk - 1 - array_tmp2_g array_x kkk - 1 2 array_tmp2 : ------------------------------, kkk kkk - 1 array_tmp2 array_x kkk - 1 2 array_tmp2_g : --------------------------, kkk kkk - 1 array_tmp3 : ats(kkk, array_tmp1, array_tmp2, 1), kkk array_tmp4 : array_tmp3 , order_d : 1, 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(2.0-expt(cos(x),2)/2.0) expt(cos(x), 2) (%o223) exact_soln_y(x) := block(2.0 - ---------------) 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_g[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[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_g), zero_ats_ar(array_tmp2),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/mult2postode.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:0.1,"), 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 - expt(cos(x),2)/2.0) "), 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:0.1,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, "2014-01-09T00:06:40-06:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "mult2"), 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, "mult2 diffeq.max"), logitem_str(html_log_file, "mult2 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_g : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_tmp2 : 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_g), zero_ats_ar(array_tmp2), 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/mult2postode.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:0.1,"), 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 - expt(cos(x),2)/2.0) "), 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 : 0.1, 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, "2014-01-09T00:06:40-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "mult2"), 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, "mult2 diffeq.max"), logitem_str(html_log_file, "mult2 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_tmp2 in translation. warning: encountered undefined variable array_tmp2_g in translation. warning: encountered undefined variable array_tmp3 in translation. warning: encountered undefined variable array_const_0D0 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/mult2postode.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:0.1," "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 - expt(cos(x),2)/2.0) " "));" "" "/* 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 = 9.9 "" estimated_steps = 9900000. "" step_error = 1.010101010101010100000000000000000E-17 "" est_needed_step_err = 1.010101010101010100000000000000000E-17 "" opt_iter = 1 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.07714770390651900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 "" estimated_step_error = 4.07714770390651900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 "" 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 = 2.736127487151497000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 "" estimated_step_error = 2.736127487151497000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 "" 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 = 1.8361840466477570000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 "" estimated_step_error = 1.8361840466477570000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 "" 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 = 1.2322422176488500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 "" estimated_step_error = 1.2322422176488500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 "" 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 = 8.2694370432424950000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 "" estimated_step_error = 8.2694370432424950000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 "" 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 = 5.54952459227575400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 "" estimated_step_error = 5.54952459227575400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 "" 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 = 3.724222016520969000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 "" estimated_step_error = 3.724222016520969000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 "" 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 = 2.4992818871837340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 "" estimated_step_error = 2.4992818871837340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 "" 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 = 1.677238070716006400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 "" estimated_step_error = 1.677238070716006400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 "" 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 = 1.125573252189827000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" estimated_step_error = 1.125573252189827000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" 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 = 7.55356518646821400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 "" estimated_step_error = 7.55356518646821400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 "" 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 = 5.069072795588152000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 "" estimated_step_error = 5.069072795588152000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 "" 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 = 3.4017448052284710000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 "" estimated_step_error = 3.4017448052284710000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 "" 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 = 2.282801938251308700000000000000000000000000000000000000000000000000000000000000000000000000E-74 "" estimated_step_error = 2.282801938251308700000000000000000000000000000000000000000000000000000000000000000000000000E-74 "" 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 = 1.5318678129876895000000000000000000000000000000000000000000000000000000000000000000E-66 "" estimated_step_error = 1.5318678129876895000000000000000000000000000000000000000000000000000000000000000000E-66 "" 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 = 1.02789152275786640000000000000000000000000000000000000000000000000000000000E-58 "" estimated_step_error = 1.02789152275786640000000000000000000000000000000000000000000000000000000000E-58 "" 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 = 6.896336410985003000000000000000000000000000000000000000000000000000E-51 "" estimated_step_error = 6.896336410985003000000000000000000000000000000000000000000000000000E-51 "" 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 = 4.6256959158193406000000000000000000000000000000000000000000E-43 "" estimated_step_error = 4.6256959158193406000000000000000000000000000000000000000000E-43 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 0.1 " " y[1] (analytic) = 1.5049833555396894 " " y[1] (numeric) = 1.5049833555396894 " " 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 = 9.73545855771626400E-2 " " Order of pole (three term test) = 22.03946950299856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11 " " y[1] (analytic) = 1.5060256376673486 " " y[1] (numeric) = 1.5060256376673484 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474374667810778300000000000000E-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 = 0.10648486626649993 " " Order of pole (three term test) = 22.04762416839002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12 " " y[1] (analytic) = 1.5071655062869926 " " y[1] (numeric) = 1.5071655062869924 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.473259598888072300000000000000E-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 = 0.11544479388537075 " " Order of pole (three term test) = 22.05650253861036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13 " " y[1] (analytic) = 1.5084025054663717 " " y[1] (numeric) = 1.5084025054663714 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.472051419434489700000000000000E-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 = 0.12422003446093417 " " Order of pole (three term test) = 22.066090410161173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14 " " y[1] (analytic) = 1.5097361404223073 " " y[1] (numeric) = 1.509736140422307 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.470751073514875200000000000000E-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 = 0.1327965494802208 " " Order of pole (three term test) = 22.07637244449329 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15000000000000002 " " y[1] (analytic) = 1.5111658777185986 " " y[1] (numeric) = 1.5111658777185983 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.46935957328689280000000000000E-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 = 0.14116061834875884 " " Order of pole (three term test) = 22.087332192545166 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16000000000000003 " " y[1] (analytic) = 1.5126911454793899 " " y[1] (numeric) = 1.5126911454793897 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.467877997359882000000000000000E-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 = 0.149298860340598 " " Order of pole (three term test) = 22.09895212105785 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17000000000000004 " " y[1] (analytic) = 1.5143113336179135 " " y[1] (numeric) = 1.5143113336179133 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.466307489058633300000000000000E-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 = 0.15719825600461712 " " Order of pole (three term test) = 22.111213640624534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000005 " " y[1] (analytic) = 1.5160257940805162 " " y[1] (numeric) = 1.5160257940805162 " " 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 = 0.16484616799286825 " " Order of pole (three term test) = 22.124097135429555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000006 " " y[1] (analytic) = 1.5178338411058725 " " y[1] (numeric) = 1.5178338411058723 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.462904561168913700000000000000E-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 = 0.1722303612776379 " " Order of pole (three term test) = 22.137581994629542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.20000000000000007 " " y[1] (analytic) = 1.5197347514992787 " " y[1] (numeric) = 1.5197347514992785 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.461074734956053800000000000000E-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 = 0.1793390227248808 " " Order of pole (three term test) = 22.151646645326416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.21000000000000008 " " y[1] (analytic) = 1.521727764921923 " " y[1] (numeric) = 1.5217277649219227 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.459161159068580500000000000000E-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 = 0.18616077999271496 " " Order of pole (three term test) = 22.166268587079347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22000000000000008 " " y[1] (analytic) = 1.5238120841950091 " " y[1] (numeric) = 1.523812084195009 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.45716527141423600000000000000E-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 = 0.1926847197247423 " " Order of pole (three term test) = 22.18142442790071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2300000000000001 " " y[1] (analytic) = 1.5259868756186188 " " y[1] (numeric) = 1.5259868756186183 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.91017712501644930000000000000E-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 = 0.19890040500909162 " " Order of pole (three term test) = 22.19708992167827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2400000000000001 " " y[1] (analytic) = 1.528251269305179 " " y[1] (numeric) = 1.5282512693051786 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.905865146455714500000000000000E-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 = 0.2047978920752496 " " Order of pole (three term test) = 22.21324000696377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2500000000000001 " " y[1] (analytic) = 1.5306043595274068 " " y[1] (numeric) = 1.5306043595274066 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.450698892518445200000000000000E-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 = 0.2103677462019743 " " Order of pole (three term test) = 22.229848847065934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2600000000000001 " " y[1] (analytic) = 1.5330452050805876 " " y[1] (numeric) = 1.5330452050805874 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.448389155056644700000000000000E-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 = 0.2156010568108346 " " Order of pole (three term test) = 22.24688987138361 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27000000000000013 " " y[1] (analytic) = 1.5355728296590438 " " y[1] (numeric) = 1.5355728296590438 " " 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 = 0.22048945172123696 " " Order of pole (three term test) = 22.264335817913132 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28000000000000014 " " y[1] (analytic) = 1.538186222246646 " " y[1] (numeric) = 1.5381862222466458 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.443548262971157700000000000000E-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 = 0.22502511054412633 " " Order of pole (three term test) = 22.28215877686164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29000000000000015 " " y[1] (analytic) = 1.5408843375212034 " " y[1] (numeric) = 1.5408843375212031 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.44102058485603800000000000000E-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 = 0.22920077719294193 " " Order of pole (three term test) = 22.30033023529687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30000000000000016 " " y[1] (analytic) = 1.5436660962725806 " " y[1] (numeric) = 1.5436660962725803 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.438423798133496600000000000000E-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 = 0.23300977149180674 " " Order of pole (three term test) = 22.31882112276167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31000000000000016 " " y[1] (analytic) = 1.5465303858343664 " " y[1] (numeric) = 1.5465303858343664 " " 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 = 0.23644599986238465 " " Order of pole (three term test) = 22.33760185778061 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3200000000000002 " " y[1] (analytic) = 1.5494760605289268 " " y[1] (numeric) = 1.5494760605289268 " " 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 = 0.23950396507230634 " " Order of pole (three term test) = 22.356642395184025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3300000000000002 " " y[1] (analytic) = 1.5525019421256587 " " y[1] (numeric) = 1.5525019421256587 " " 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 = 0.2421787750295664 " " Order of pole (three term test) = 22.375912274173814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3400000000000002 " " y[1] (analytic) = 1.555606820312268 " " y[1] (numeric) = 1.555606820312268 " " 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 = 0.24446615060882912 " " Order of pole (three term test) = 22.39538066705429 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3500000000000002 " " y[1] (analytic) = 1.558789453178878 " " y[1] (numeric) = 1.5587894531788777 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42446822739408620000000000000E-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 = 0.2463624324971151 " " Order of pole (three term test) = 22.415016428549876 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3600000000000002 " " y[1] (analytic) = 1.5620485677147764 " " y[1] (numeric) = 1.5620485677147762 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.421496165448139800000000000000E-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 = 0.2478645870479216 " " Order of pole (three term test) = 22.434788145630925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3700000000000002 " " y[1] (analytic) = 1.565382860317603 " " y[1] (numeric) = 1.565382860317603 " " 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 = 0.24897021113440995 " " Order of pole (three term test) = 22.45466418776784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3800000000000002 " " y[1] (analytic) = 1.5687909973147738 " " y[1] (numeric) = 1.5687909973147738 " " 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 = 0.24967753599389575 " " Order of pole (three term test) = 22.47461275753321 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39000000000000024 " " y[1] (analytic) = 1.5722716154969307 " " y[1] (numeric) = 1.5722716154969307 " " 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 = 0.24998543005749155 " " Order of pole (three term test) = 22.49460194147087 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40000000000000024 " " y[1] (analytic) = 1.5758233226632088 " " y[1] (numeric) = 1.5758233226632088 " " 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 = 0.24989340076037636 " " Order of pole (three term test) = 22.514599761150645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41000000000000025 " " y[1] (analytic) = 1.5794446981780967 " " y[1] (numeric) = 1.5794446981780967 " " 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 = 0.2494015953297934 " " Order of pole (three term test) = 22.534574224327027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42000000000000026 " " y[1] (analytic) = 1.583134293539673 " " y[1] (numeric) = 1.583134293539673 " " 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 = 0.24851080054951896 " " Order of pole (three term test) = 22.554493376119936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43000000000000027 " " y[1] (analytic) = 1.5868906329589871 " " y[1] (numeric) = 1.5868906329589871 " " 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 = 0.2472224415011753 " " Order of pole (three term test) = 22.574325350135684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4400000000000003 " " y[1] (analytic) = 1.5907122139503551 " " y[1] (numeric) = 1.5907122139503551 " " 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 = 0.24553857928440462 " " Order of pole (three term test) = 22.594038419446445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4500000000000003 " " y[1] (analytic) = 1.594597507932334 " " y[1] (numeric) = 1.594597507932334 " " 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 = 0.24346190771954868 " " Order of pole (three term test) = 22.613601047346542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4600000000000003 " " y[1] (analytic) = 1.5985449608391344 " " y[1] (numeric) = 1.5985449608391344 " " 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 = 0.24099574903811202 " " Order of pole (three term test) = 22.63298193780449 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4700000000000003 " " y[1] (analytic) = 1.6025529937422256 " " y[1] (numeric) = 1.6025529937422256 " " 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 = 0.23814404856789886 " " Order of pole (three term test) = 22.652150085529918 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4800000000000003 " " y[1] (analytic) = 1.606620003481886 " " y[1] (numeric) = 1.606620003481886 " " 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 = 0.23491136842133117 " " Order of pole (three term test) = 22.67107482557545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4900000000000003 " " y[1] (analytic) = 1.610744363308446 " " y[1] (numeric) = 1.610744363308446 " " 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 = 0.23130288019704182 " " Order of pole (three term test) = 22.689725882394075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000003 " " y[1] (analytic) = 1.6149244235329652 " " y[1] (numeric) = 1.6149244235329654 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.374953537697231600000000000000E-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 = 0.2273243567064204 " " Order of pole (three term test) = 22.708073418273578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000003 " " y[1] (analytic) = 1.6191585121870877 " " y[1] (numeric) = 1.619158512187088 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.371358043414188400000000000000E-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 = 0.2229821627383447 " " Order of pole (three term test) = 22.726088081070454 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000004 " " y[1] (analytic) = 1.6234449356918055 " " y[1] (numeric) = 1.6234449356918057 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.367737211428181300000000000000E-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 = 0.21828324487687897 " " Order of pole (three term test) = 22.74374105116718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000004 " " y[1] (analytic) = 1.6277819795348683 " " y[1] (numeric) = 1.6277819795348685 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.364093027915689300000000000000E-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 = 0.21323512038821893 " " Order of pole (three term test) = 22.76100408757735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000004 " " y[1] (analytic) = 1.632167908956565 " " y[1] (numeric) = 1.6321679089565653 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.360427464028398000000000000000E-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 = 0.2078458651946706 " " Order of pole (three term test) = 22.77784957312531 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000004 " " y[1] (analytic) = 1.636600969643606 " " y[1] (numeric) = 1.636600969643606 " " 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 = 0.2021241009548974 " " Order of pole (three term test) = 22.79425055862767 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000004 " " y[1] (analytic) = 1.6410793884308221 " " y[1] (numeric) = 1.6410793884308221 " " 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 = 0.19607898127110482 " " Order of pole (three term test) = 22.810180806006343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5700000000000004 " " y[1] (analytic) = 1.6456013740104107 " " y[1] (numeric) = 1.6456013740104107 " " 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 = 0.18972017704523028 " " Order of pole (three term test) = 22.825614830263774 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5800000000000004 " " y[1] (analytic) = 1.6501651176484318 " " y[1] (numeric) = 1.650165117648432 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.345590223367804600000000000000E-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 = 0.1830578610075625 " " Order of pole (three term test) = 22.840527940253573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5900000000000004 " " y[1] (analytic) = 1.6547687939082798 " " y[1] (numeric) = 1.6547687939082798 " " 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 = 0.17610269144254365 " " Order of pole (three term test) = 22.85489627818106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6000000000000004 " " y[1] (analytic) = 1.6594105613808319 " " y[1] (numeric) = 1.6594105613808319 " " 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 = 0.1688657951377872 " " Order of pole (three term test) = 22.868696857770626 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6100000000000004 " " y[1] (analytic) = 1.6640885634209885 " " y[1] (numeric) = 1.6640885634209885 " " 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 = 0.16135874958359225 " " Order of pole (three term test) = 22.881907601038883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6200000000000004 " " y[1] (analytic) = 1.668800928890306 " " y[1] (numeric) = 1.6688009288903063 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.330563766360576000000000000000E-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 = 0.1535935644514274 " " Order of pole (three term test) = 22.894507373614765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6300000000000004 " " y[1] (analytic) = 1.673545772905428 " " y[1] (numeric) = 1.673545772905428 " " 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 = 0.1455826623810201 " " Order of pole (three term test) = 22.90647601854994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6400000000000005 " " y[1] (analytic) = 1.6783211975920114 " " y[1] (numeric) = 1.6783211975920114 " " 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 = 0.13733885910678145 " " Order of pole (three term test) = 22.917794388565706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6500000000000005 " " y[1] (analytic) = 1.6831252928438534 " " y[1] (numeric) = 1.6831252928438534 " " 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 = 0.12887534295536582 " " Order of pole (three term test) = 22.928444376684467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6600000000000005 " " y[1] (analytic) = 1.687956137086907 " " y[1] (numeric) = 1.687956137086907 " " 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 = 0.12020565374716165 " " Order of pole (three term test) = 22.938408945197143 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6700000000000005 " " y[1] (analytic) = 1.6928117980478854 " " y[1] (numeric) = 1.6928117980478854 " " 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 = 0.1113436611354675 " " Order of pole (three term test) = 22.947672152919736 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6800000000000005 " " y[1] (analytic) = 1.6976903335271454 " " y[1] (numeric) = 1.6976903335271454 " " 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 = 0.10230354241800386 " " Order of pole (three term test) = 22.956219180695978 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6900000000000005 " " y[1] (analytic) = 1.7025897921755417 " " y[1] (numeric) = 1.7025897921755417 " " 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 = 9.30997598562635100E-2 " " Order of pole (three term test) = 22.964036355104668 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7000000000000005 " " y[1] (analytic) = 1.70750821427494 " " y[1] (numeric) = 1.70750821427494 " " 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 = 8.3747037538975810E-2 " " Order of pole (three term test) = 22.97111117033433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7100000000000005 " " y[1] (analytic) = 1.7124436325220787 " " y[1] (numeric) = 1.7124436325220789 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.296653511438535000000000000000E-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 = 7.42603378267077100E-2 " " Order of pole (three term test) = 22.97743230818981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7200000000000005 " " y[1] (analytic) = 1.717394072815464 " " y[1] (numeric) = 1.717394072815464 " " 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 = 6.46548374152772300E-2 " " Order of pole (three term test) = 22.982989656198992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7300000000000005 " " y[1] (analytic) = 1.722357555044983 " " y[1] (numeric) = 1.722357555044983 " " 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 = 5.494590305627860000E-2 " " Order of pole (three term test) = 22.987774323790546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7400000000000005 " " y[1] (analytic) = 1.727332093883923 " " y[1] (numeric) = 1.727332093883923 " " 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 = 4.514906697355771700E-2 " " Order of pole (three term test) = 22.991778656517006 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7500000000000006 " " y[1] (analytic) = 1.7323156995830746 " " y[1] (numeric) = 1.7323156995830746 " " 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 = 3.52800020149663900E-2 " " Order of pole (three term test) = 22.99499624830023 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7600000000000006 " " y[1] (analytic) = 1.7373063787666054 " " y[1] (numeric) = 1.7373063787666057 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.27809698760601500000000000000E-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 = 2.53544965791498400E-2 " " Order of pole (three term test) = 22.99742195167973 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7700000000000006 " " y[1] (analytic) = 1.7423021352293837 " " y[1] (numeric) = 1.742302135229384 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.274432260830570000000000000000E-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 = 1.538842935747768700E-2 " " Order of pole (three term test) = 22.999051886047567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7800000000000006 " " y[1] (analytic) = 1.7473009707354334 " " y[1] (numeric) = 1.7473009707354337 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.270786250588377400000000000000E-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 = 5.39774393152341000E-3 " " Order of pole (three term test) = 22.999883443856465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7900000000000006 " " y[1] (analytic) = 1.7523008858172024 " " y[1] (numeric) = 1.7523008858172027 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.26716026181473200000000000000E-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 = 4.601576733264061000E-3 " " Order of pole (three term test) = 22.999915294791304 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8000000000000006 " " y[1] (analytic) = 1.7572998805753226 " " y[1] (numeric) = 1.7572998805753228 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.263555568286592600000000000000E-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 = 1.459353585689566200E-2 " " Order of pole (three term test) = 22.99914738789738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8100000000000006 " " y[1] (analytic) = 1.762295955478543 " " y[1] (numeric) = 1.7622959554785433 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.519946825443813400000000000000E-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 = 2.456214843627766200E-2 " " Order of pole (three term test) = 22.997580951661913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8200000000000006 " " y[1] (analytic) = 1.7672871121635159 " " y[1] (numeric) = 1.7672871121635163 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.51283001383067800000000000000E-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 = 3.44914668178071500E-2 " " Order of pole (three term test) = 22.99521849204874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8300000000000006 " " y[1] (analytic) = 1.772271354234115 " " y[1] (numeric) = 1.7722713542341155 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.50576306381691300000000000000E-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 = 4.4365606210215797E-2 " " Order of pole (three term test) = 22.99206378848926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8400000000000006 " " y[1] (analytic) = 1.777246688059968 " " y[1] (numeric) = 1.7772466880599687 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.74812241457735800000000000000E-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 = 5.41687700968455800E-2 " " Order of pole (three term test) = 22.988121887836204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8500000000000006 " " y[1] (analytic) = 1.7822111235738816 " " y[1] (numeric) = 1.782211123573882 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.491787891883017200000000000000E-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 = 6.38852755067086200E-2 " " Order of pole (three term test) = 22.983399096289723 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8600000000000007 " " y[1] (analytic) = 1.7871626750678413 " " y[1] (numeric) = 1.7871626750678418 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.484884090549870400000000000000E-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 = 7.34995781038926200E-2 " " Order of pole (three term test) = 22.977902969308833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8700000000000007 " " y[1] (analytic) = 1.7920993619872696 " " y[1] (numeric) = 1.79209936198727 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.478038993092489300000000000000E-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 = 8.29962970551841800E-2 " " Order of pole (three term test) = 22.971642299524238 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8800000000000007 " " y[1] (analytic) = 1.7970192097232203 " " y[1] (numeric) = 1.7970192097232207 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.47125466131473320000000000000E-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 = 9.23602396361199500E-2 " " Order of pole (three term test) = 22.96462710267206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8900000000000007 " " y[1] (analytic) = 1.8019202504021963 " " y[1] (numeric) = 1.8019202504021967 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.464533098792468800000000000000E-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 = 0.10157642553610459 " " Order of pole (three term test) = 22.956868601570772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9000000000000007 " " y[1] (analytic) = 1.806800523673272 " " y[1] (numeric) = 1.8068005236732725 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.457876251592056300000000000000E-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 = 0.11063011082371385 " " Order of pole (three term test) = 22.948379208167076 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9100000000000007 " " y[1] (analytic) = 1.8116580774922089 " " y[1] (numeric) = 1.8116580774922093 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.451286009028778600000000000000E-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 = 0.1195068115338362 " " Order of pole (three term test) = 22.939172503679433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9200000000000007 " " y[1] (analytic) = 1.8164909689022455 " " y[1] (numeric) = 1.816490968902246 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.444764204461956400000000000000E-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 = 0.12819232683893167 " " Order of pole (three term test) = 22.929263216871053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9300000000000007 " " y[1] (analytic) = 1.8212972648112555 " " y[1] (numeric) = 1.821297264811256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.438312616123565500000000000000E-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 = 0.1366727617673224 " " Order of pole (three term test) = 22.918667200486937 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9400000000000007 " " y[1] (analytic) = 1.8260750427649586 " " y[1] (numeric) = 1.826075042764959 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.431932967977281400000000000000E-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 = 0.14493454943218623 " " Order of pole (three term test) = 22.90740140589295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9500000000000007 " " y[1] (analytic) = 1.8308223917158761 " " y[1] (numeric) = 1.8308223917158766 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.425626930604967400000000000000E-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 = 0.15296447273568053 " " Order of pole (three term test) = 22.89548385595721 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9600000000000007 " " y[1] (analytic) = 1.8355374127877249 " " y[1] (numeric) = 1.8355374127877253 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.419396122117726500000000000000E-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 = 0.16074968551347787 " " Order of pole (three term test) = 22.882933616217315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9700000000000008 " " y[1] (analytic) = 1.8402182200349422 " " y[1] (numeric) = 1.8402182200349426 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.413242109088726600000000000000E-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 = 0.16827773308589095 " " Order of pole (three term test) = 22.86977076437963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9800000000000008 " " y[1] (analytic) = 1.844862941197039 " " y[1] (numeric) = 1.8448629411970394 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40716640750513100000000000000E-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 = 0.17553657218270213 " " Order of pole (three term test) = 22.856016358199152 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9900000000000008 " " y[1] (analytic) = 1.8494697184474793 " " y[1] (numeric) = 1.8494697184474798 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40117048373654500000000000000E-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 = 0.1825145902098255 " " Order of pole (three term test) = 22.84169240179167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0000000000000007 " " y[1] (analytic) = 1.854036709136786 " " y[1] (numeric) = 1.8540367091367864 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.39525575551750800000000000000E-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 = 0.18920062382698255 " " Order of pole (three term test) = 22.826821810431806 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0100000000000007 " " y[1] (analytic) = 1.8585620865295753 " " y[1] (numeric) = 1.858562086529576 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.58413538941247400000000000000E-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 = 0.19558397680666362 " " Order of pole (three term test) = 22.811428373893516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0200000000000007 " " y[1] (analytic) = 1.8630440405352282 " " y[1] (numeric) = 1.8630440405352289 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.57551297919786400000000000000E-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 = 0.2016544371458106 " " Order of pole (three term test) = 22.795536718391514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0300000000000007 " " y[1] (analytic) = 1.8674807784319007 " " y[1] (numeric) = 1.8674807784319014 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.56701831937696200000000000000E-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 = 0.20740229340284316 " " Order of pole (three term test) = 22.779172267184556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0400000000000007 " " y[1] (analytic) = 1.8718705255835901 " " y[1] (numeric) = 1.8718705255835908 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.558653259778287000000000000000E-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 = 0.21281835023389403 " " Order of pole (three term test) = 22.76236119990367 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0500000000000007 " " y[1] (analytic) = 1.8762115261499648 " " y[1] (numeric) = 1.8762115261499652 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.36694638989530800000000000000E-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 = 0.2178939431033974 " " Order of pole (three term test) = 22.745130410670345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0600000000000007 " " y[1] (analytic) = 1.880502043788677 " " y[1] (numeric) = 1.8805020437886777 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.54231901515524860000000000000E-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 = 0.22262095214549754 " " Order of pole (three term test) = 22.72750746507165 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0700000000000007 " " y[1] (analytic) = 1.8847403623498782 " " y[1] (numeric) = 1.8847403623498786 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.356235472648211300000000000000E-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 = 0.22699181515410174 " " Order of pole (three term test) = 22.709520556061175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0800000000000007 " " y[1] (analytic) = 1.8889247865626535 " " y[1] (numeric) = 1.888924786562654 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.351015842500474600000000000000E-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 = 0.23099953968079737 " " Order of pole (three term test) = 22.69119845885634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0900000000000007 " " y[1] (analytic) = 1.8930536427131095 " " y[1] (numeric) = 1.89305364271311 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.34588814511139500000000000000E-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 = 0.23463771422127713 " " Order of pole (three term test) = 22.67257048490416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1000000000000008 " " y[1] (analytic) = 1.8971252793138367 " " y[1] (numeric) = 1.8971252793138371 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.340853367420644700000000000000E-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 = 0.2379005184723792 " " Order of pole (three term test) = 22.653666434989205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1100000000000008 " " y[1] (analytic) = 1.9011380677644827 " " y[1] (numeric) = 1.9011380677644831 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.33591245885818200000000000000E-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 = 0.24078273264332944 " " Order of pole (three term test) = 22.6345165515587 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1200000000000008 " " y[1] (analytic) = 1.9050904030031701 " " y[1] (numeric) = 1.9050904030031706 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.33106633233784500000000000000E-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 = 0.24327974580629358 " " Order of pole (three term test) = 22.615151470341026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1300000000000008 " " y[1] (analytic) = 1.908980704148501 " " y[1] (numeric) = 1.9089807041485012 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.163157932620770600000000000000E-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 = 0.24538756327287903 " " Order of pole (three term test) = 22.59560217133515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1400000000000008 " " y[1] (analytic) = 1.9128074151318868 " " y[1] (numeric) = 1.912807415131887 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.160830950196423500000000000000E-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 = 0.24710281298478276 " " Order of pole (three term test) = 22.575899929249175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1500000000000008 " " y[1] (analytic) = 1.9165690053199564 " " y[1] (numeric) = 1.9165690053199567 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.158552623509439800000000000000E-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 = 0.24842275090836613 " " Order of pole (three term test) = 22.55607626346752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1600000000000008 " " y[1] (analytic) = 1.9202639701267885 " " y[1] (numeric) = 1.9202639701267887 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.15632334084969800000000000000E-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 = 0.24934526542452348 " " Order of pole (three term test) = 22.536162887626627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1700000000000008 " " y[1] (analytic) = 1.923890831615726 " " y[1] (numeric) = 1.9238908316157262 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.154143474651071200000000000000E-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 = 0.249868880706821 " " Order of pole (three term test) = 22.51619165887986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1800000000000008 " " y[1] (analytic) = 1.9274481390905305 " " y[1] (numeric) = 1.9274481390905307 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.152013381951762400000000000000E-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 = 0.24999275908250612 " " Order of pole (three term test) = 22.49619452693292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1900000000000008 " " y[1] (analytic) = 1.9309344696756425 " " y[1] (numeric) = 1.9309344696756428 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.149933404846878300000000000000E-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 = 0.24971670237260346 " " Order of pole (three term test) = 22.476203482931105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2000000000000008 " " y[1] (analytic) = 1.9343484288853117 " " y[1] (numeric) = 1.9343484288853119 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.147903870932843300000000000000E-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 = 0.24904115220896011 " " Order of pole (three term test) = 22.456250508280274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2100000000000009 " " y[1] (analytic) = 1.937688651181373 " " y[1] (numeric) = 1.9376886511813733 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.29185018748656900000000000000E-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 = 0.24796718932772804 " " Order of pole (three term test) = 22.43636752348347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2200000000000009 " " y[1] (analytic) = 1.9409538005194438 " " y[1] (numeric) = 1.9409538005194442 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.287994746352098600000000000000E-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 = 0.24649653184041748 " " Order of pole (three term test) = 22.41658633707489 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2300000000000009 " " y[1] (analytic) = 1.9441425708833235 " " y[1] (numeric) = 1.944142570883324 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.284241991822082200000000000000E-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 = 0.2446315324852844 " " Order of pole (three term test) = 22.396938594733015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2400000000000009 " " y[1] (analytic) = 1.947253686807383 " " y[1] (numeric) = 1.9472536868073835 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.280592471637162300000000000000E-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 = 0.24237517486345198 " " Order of pole (three term test) = 22.377455728654315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2500000000000009 " " y[1] (analytic) = 1.9502859038867337 " " y[1] (numeric) = 1.9502859038867342 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.27704670871606670000000000000E-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 = 0.23973106866578442 " " Order of pole (three term test) = 22.358168907268386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.260000000000001 " " y[1] (analytic) = 1.9532380092749728 " " y[1] (numeric) = 1.9532380092749733 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.27360520193289280000000000000E-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 = 0.23670344389815196 " " Order of pole (three term test) = 22.339108985375137 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.270000000000001 " " y[1] (analytic) = 1.956108822169306 " " y[1] (numeric) = 1.9561088221693064 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.27026842687398100000000000000E-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 = 0.2332971441143241 " " Order of pole (three term test) = 22.320306454783697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.280000000000001 " " y[1] (analytic) = 1.9588971942828521 " " y[1] (numeric) = 1.9588971942828528 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.40055525486095800000000000000E-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 = 0.2295176186673164 " " Order of pole (three term test) = 22.30179139553204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.290000000000001 " " y[1] (analytic) = 1.9616020103039442 " " y[1] (numeric) = 1.9616020103039449 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.395866293346011500000000000000E-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 = 0.2253709139915883 " " Order of pole (three term test) = 22.283593427765272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.300000000000001 " " y[1] (analytic) = 1.964222188342237 " " y[1] (numeric) = 1.9642221883422377 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.391336370847623500000000000000E-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 = 0.22086366393003792 " " Order of pole (three term test) = 22.26574166434981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.310000000000001 " " y[1] (analytic) = 1.966756680361451 " " y[1] (numeric) = 1.9667566803614516 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.386966071739345700000000000000E-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 = 0.21600307912126823 " " Order of pole (three term test) = 22.248264664298944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.320000000000001 " " y[1] (analytic) = 1.9692044725985707 " " y[1] (numeric) = 1.9692044725985713 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.382755950660933400000000000000E-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 = 0.21079693546410377 " " Order of pole (three term test) = 22.23119038708452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.330000000000001 " " y[1] (analytic) = 1.9715645859693383 " " y[1] (numeric) = 1.971564585969339 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.378706533458973300000000000000E-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 = 0.2052535616778113 " " Order of pole (three term test) = 22.21454614790777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.340000000000001 " " y[1] (analytic) = 1.9738360764598732 " " y[1] (numeric) = 1.973836076459874 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.37481831809368100000000000000E-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 = 0.19938182597792561 " " Order of pole (three term test) = 22.1983585740008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.350000000000001 " " y[1] (analytic) = 1.9760180355042656 " " y[1] (numeric) = 1.9760180355042662 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3710917755115600000000000000E-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 = 0.19319112188899623 " " Order of pole (three term test) = 22.18265356202868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.360000000000001 " " y[1] (analytic) = 1.9781095903479897 " " y[1] (numeric) = 1.9781095903479904 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.36752735048368830000000000000E-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 = 0.18669135321695252 " " Order of pole (three term test) = 22.167456236660353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.370000000000001 " " y[1] (analytic) = 1.9801099043969954 " " y[1] (numeric) = 1.980109904396996 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.364125462409381400000000000000E-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 = 0.17989291820512623 " " Order of pole (three term test) = 22.15279091037449 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.380000000000001 " " y[1] (analytic) = 1.9820181775523333 " " y[1] (numeric) = 1.982018177552334 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.360886506085059600000000000000E-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 = 0.17280669289928105 " " Order of pole (three term test) = 22.138681044564702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.390000000000001 " " y[1] (analytic) = 1.983833646530185 " " y[1] (numeric) = 1.9838336465301856 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.357810852438118000000000000000E-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 = 0.16544401374825857 " " Order of pole (three term test) = 22.12514921200634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.400000000000001 " " y[1] (analytic) = 1.9855555851671647 " " y[1] (numeric) = 1.9855555851671653 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.35489884922567800000000000000E-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 = 0.15781665946807955 " " Order of pole (three term test) = 22.112217060744875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.410000000000001 " " y[1] (analytic) = 1.987183304710777 " " y[1] (numeric) = 1.9871833047107776 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.352150821698081700000000000000E-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 = 0.14993683219851012 " " Order of pole (three term test) = 22.099905279463595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.420000000000001 " " y[1] (analytic) = 1.9887161540949068 " " y[1] (numeric) = 1.9887161540949074 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.34956707322700300000000000000E-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 = 0.14181713798224124 " " Order of pole (three term test) = 22.088233564386186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.430000000000001 " " y[1] (analytic) = 1.9901535202002383 " " y[1] (numeric) = 1.990153520200239 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.34714788589812500000000000000E-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 = 0.13347056659791015 " " Order of pole (three term test) = 22.07722058776694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.440000000000001 " " y[1] (analytic) = 1.9914948280994937 " " y[1] (numeric) = 1.9914948280994946 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.459858028091010000000000000000E-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 = 0.1249104707792246 " " Order of pole (three term test) = 22.06688396801913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.450000000000001 " " y[1] (analytic) = 1.9927395412873978 " " y[1] (numeric) = 1.9927395412873985 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3428042198868700000000000000E-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 = 0.11615054485343837 " " Order of pole (three term test) = 22.05724024152934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.460000000000001 " " y[1] (analytic) = 1.9938871618952707 " " y[1] (numeric) = 1.9938871618952716 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.454506938375969400000000000000E-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 = 0.10720480283334799 " " Order of pole (three term test) = 22.048304836202718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.470000000000001 " " y[1] (analytic) = 1.9949372308901712 " " y[1] (numeric) = 1.994937230890172 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.452162233213756700000000000000E-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 = 9.80875559978625200E-2 " " Order of pole (three term test) = 22.04009204678168 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.480000000000001 " " y[1] (analytic) = 1.9958893282585017 " " y[1] (numeric) = 1.9958893282585026 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.45003842209577100000000000000E-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 = 8.88133899970096300E-2 " " Order of pole (three term test) = 22.03261501197732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.490000000000001 " " y[1] (analytic) = 1.9967430731740095 " " y[1] (numeric) = 1.9967430731740103 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.448135724784475500000000000000E-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 = 7.93971415180076300E-2 " " Order of pole (three term test) = 22.025885693450327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.500000000000001 " " y[1] (analytic) = 1.9974981241501115 " " y[1] (numeric) = 1.9974981241501124 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.446454336862139500000000000000E-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 = 6.98538745497303800E-2 " " Order of pole (three term test) = 22.019914856674816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5100000000000011 " " y[1] (analytic) = 1.9981541791764843 " " y[1] (numeric) = 1.9981541791764854 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.556243037675510000000000000000E-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 = 6.01988562835387600E-2 " " Order of pole (three term test) = 22.014712053715925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5200000000000011 " " y[1] (analytic) = 1.998710975839865 " " y[1] (numeric) = 1.998710975839866 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.554695191277654000000000000000E-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 = 5.04475326890311500E-2 " " Order of pole (three term test) = 22.010285607948514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5300000000000011 " " y[1] (analytic) = 1.9991682914290116 " " y[1] (numeric) = 1.9991682914290128 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.55342453851929400000000000000E-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 = 4.061550380378744500E-2 " " Order of pole (three term test) = 22.00664260074155 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5400000000000011 " " y[1] (analytic) = 1.9995259430237864 " " y[1] (numeric) = 1.9995259430237875 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.552431207500214000000000000000E-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 = 3.071849877663642000E-2 " " Order of pole (three term test) = 22.003788860129443 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5500000000000012 " " y[1] (analytic) = 1.99978378756832 " " y[1] (numeric) = 1.9997837875683209 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44137223844646100000000000000E-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 = 2.077235070437299700E-2 " " Order of pole (three term test) = 22.00172895148839 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5600000000000012 " " y[1] (analytic) = 1.999941721928232 " " y[1] (numeric) = 1.9999417219282332 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.551276881982049000000000000000E-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 = 1.079297130218106300E-2 " " Order of pole (three term test) = 22.0004661702328 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5700000000000012 " " y[1] (analytic) = 1.999999682931885 " " y[1] (numeric) = 1.999999682931886 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.55111600316672700000000000000E-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 = 7.9632544828338720000E-4 " " Order of pole (three term test) = 22.000002536543306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5800000000000012 " " y[1] (analytic) = 1.9999576473956495 " " y[1] (numeric) = 1.9999576473956506 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.5512326777064100000000000000E-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 = 9.201594356457837000E-3 " " Order of pole (three term test) = 22.00033879213491 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5900000000000012 " " y[1] (analytic) = 1.9998156321331801 " " y[1] (numeric) = 1.9998156321331813 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.55162689392968900000000000000E-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 = 1.918479357313083700E-2 " " Order of pole (three term test) = 22.001474399070396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6000000000000012 " " y[1] (analytic) = 1.9995736939486883 " " y[1] (numeric) = 1.9995736939486892 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44183888989948370000000000000E-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 = 2.91373012126245200E-2 " " Order of pole (three term test) = 22.003407540620902 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6100000000000012 " " y[1] (analytic) = 1.9992319296142216 " " y[1] (numeric) = 1.9992319296142227 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.55324776570264600000000000000E-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 = 3.904319538580408600E-2 " " Order of pole (three term test) = 22.006135124172346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6200000000000012 " " y[1] (analytic) = 1.9987904758309576 " " y[1] (numeric) = 1.9987904758309585 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44357940684544600000000000000E-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 = 4.88866287751371700E-2 " " Order of pole (three term test) = 22.00965278617289 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6300000000000012 " " y[1] (analytic) = 1.9982495091745232 " " y[1] (numeric) = 1.998249509174524 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44478237388398870000000000000E-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 = 5.865185398702127000E-2 " " Order of pole (three term test) = 22.013954899113735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6400000000000012 " " y[1] (analytic) = 1.9976092460243682 " " y[1] (numeric) = 1.997609246024369 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.446206992021955500000000000000E-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 = 6.83232487442543700E-2 " " Order of pole (three term test) = 22.0190345805319 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6500000000000012 " " y[1] (analytic) = 1.996869942477216 " " y[1] (numeric) = 1.996869942477217 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44785311655448100000000000000E-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 = 7.7885340878345700E-2 " " Order of pole (three term test) = 22.024883704020738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6600000000000013 " " y[1] (analytic) = 1.9960318942446285 " " y[1] (numeric) = 1.9960318942446293 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.44972057942112400000000000000E-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 = 8.73228330816849800E-2 " " Order of pole (three term test) = 22.031492912230398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6700000000000013 " " y[1] (analytic) = 1.9950954365347247 " " y[1] (numeric) = 1.9950954365347253 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.338856891638727000000000000000E-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 = 9.66206273799710800E-2 " " Order of pole (three term test) = 22.038851631837645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6800000000000013 " " y[1] (analytic) = 1.9940609439181023 " " y[1] (numeric) = 1.9940609439181032 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.45411872896400000000000000E-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 = 0.1057638492857504 " " Order of pole (three term test) = 22.046948090460877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6900000000000013 " " y[1] (analytic) = 1.9929288301780155 " " y[1] (numeric) = 1.9929288301780161 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.34248671948607600000000000000E-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 = 0.11473787159442375 " " Order of pole (three term test) = 22.055769335493455 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7000000000000013 " " y[1] (analytic) = 1.9916995481448652 " " y[1] (numeric) = 1.9916995481448658 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.34454971080127500000000000000E-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 = 0.1235283377846532 " " Order of pole (three term test) = 22.065301254825087 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7100000000000013 " " y[1] (analytic) = 1.9903735895150745 " " y[1] (numeric) = 1.9903735895150754 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.46237040311872800000000000000E-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 = 0.13212118498573383 " " Order of pole (three term test) = 22.07552859941822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7200000000000013 " " y[1] (analytic) = 1.9889514846544165 " " y[1] (numeric) = 1.9889514846544172 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.349170756122468000000000000000E-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 = 0.14050266647518694 " " Order of pole (three term test) = 22.0864350077032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7300000000000013 " " y[1] (analytic) = 1.9874338023858737 " " y[1] (numeric) = 1.9874338023858746 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.46897108539607800000000000000E-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 = 0.14865937367058318 " " Order of pole (three term test) = 22.09800303175337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7400000000000013 " " y[1] (analytic) = 1.9858211497621188 " " y[1] (numeric) = 1.9858211497621194 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.35445019736490400000000000000E-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 = 0.15657825758041494 " " Order of pole (three term test) = 22.11021416519796 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7500000000000013 " " y[1] (analytic) = 1.984114171822699 " " y[1] (numeric) = 1.9841141718226996 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3573361061332100000000000000E-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 = 0.16424664967969838 " " Order of pole (three term test) = 22.123048872828345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7600000000000013 " " y[1] (analytic) = 1.9823135513360306 " " y[1] (numeric) = 1.9823135513360313 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.36038571862728840000000000000E-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 = 0.1716522821769105 " " Order of pole (three term test) = 22.136486621850263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7700000000000014 " " y[1] (analytic) = 1.9804200085263006 " " y[1] (numeric) = 1.9804200085263013 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.36359869071807300000000000000E-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 = 0.17878330763984027 " " Order of pole (three term test) = 22.150505914731827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7800000000000014 " " y[1] (analytic) = 1.978434300785386 " " y[1] (numeric) = 1.9784343007853866 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.36697465521425900000000000000E-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 = 0.18562831794895132 " " Order of pole (three term test) = 22.16508432359507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7900000000000014 " " y[1] (analytic) = 1.976357222369907 " " y[1] (numeric) = 1.976357222369908 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.49401762822555340000000000000E-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 = 0.19217636254793985 " " Order of pole (three term test) = 22.180198526095687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8000000000000014 " " y[1] (analytic) = 1.9741896040835365 " " y[1] (numeric) = 1.9741896040835374 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.49895196420324500000000000000E-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 = 0.19841696596228905 " " Order of pole (three term test) = 22.195824342733868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8100000000000014 " " y[1] (analytic) = 1.9719323129446873 " " y[1] (numeric) = 1.9719323129446882 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.50410196064898460000000000000E-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 = 0.204340144557794 " " Order of pole (three term test) = 22.211936775536344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8200000000000014 " " y[1] (analytic) = 1.9695862518397182 " " y[1] (numeric) = 1.9695862518397191 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.5094669952661903000000000000E-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 = 0.20993642251224573 " " Order of pole (three term test) = 22.228510048047738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8300000000000014 " " y[1] (analytic) = 1.967152359161791 " " y[1] (numeric) = 1.9671523591617919 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.51504640992109240000000000000E-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 = 0.21519684697472613 " " Order of pole (three term test) = 22.245517646567496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8400000000000014 " " y[1] (analytic) = 1.964631608435525 " " y[1] (numeric) = 1.964631608435526 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.52083950948645900000000000000E-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 = 0.22011300238825932 " " Order of pole (three term test) = 22.262932362566072 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8500000000000014 " " y[1] (analytic) = 1.9620250079276016 " " y[1] (numeric) = 1.9620250079276025 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.52684556063975900000000000000E-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 = 0.22467702395290737 " " Order of pole (three term test) = 22.28072633621281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8600000000000014 " " y[1] (analytic) = 1.9593336002434696 " " y[1] (numeric) = 1.9593336002434705 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.533063790616150300000000000000E-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 = 0.2288816102077729 " " Order of pole (three term test) = 22.298871100945714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8700000000000014 " " y[1] (analytic) = 1.9565584619103176 " " y[1] (numeric) = 1.9565584619103185 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.53949338591670700000000000000E-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 = 0.23272003471177882 " " Order of pole (three term test) = 22.3173376290119 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8800000000000014 " " y[1] (analytic) = 1.9537007029464777 " " y[1] (numeric) = 1.9537007029464786 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.546133490972374400000000000000E-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 = 0.23618615680453894 " " Order of pole (three term test) = 22.336096377905776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8900000000000015 " " y[1] (analytic) = 1.9507614664174322 " " y[1] (numeric) = 1.950761466417433 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.55298320676418900000000000000E-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 = 0.23927443143010474 " " Order of pole (three term test) = 22.35511733763075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9000000000000015 " " y[1] (analytic) = 1.9477419279786037 " " y[1] (numeric) = 1.9477419279786046 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.56004158940034900000000000000E-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 = 0.241979918007872 " " Order of pole (three term test) = 22.374370078708875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9100000000000015 " " y[1] (analytic) = 1.9446432954051076 " " y[1] (numeric) = 1.9446432954051085 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.567307648650804000000000000000E-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 = 0.24429828833645612 " " Order of pole (three term test) = 22.393823800861444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9200000000000015 " " y[1] (analytic) = 1.9414668081086588 " " y[1] (numeric) = 1.9414668081086597 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.57478034644008270000000000000E-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 = 0.2462258335178905 " " Order of pole (three term test) = 22.413447382282914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9300000000000015 " " y[1] (analytic) = 1.9382137366418233 " " y[1] (numeric) = 1.9382137366418242 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.582458595299173700000000000000E-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 = 0.24775946989107275 " " Order of pole (three term test) = 22.43320942942916 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9400000000000015 " " y[1] (analytic) = 1.9348853821898142 " " y[1] (numeric) = 1.9348853821898149 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.44275594258298840000000000000E-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 = 0.24889674396496378 " " Order of pole (three term test) = 22.453078327240416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9500000000000015 " " y[1] (analytic) = 1.9314830760500346 " " y[1] (numeric) = 1.9314830760500352 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.448820354861022500000000000000E-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 = 0.24963583634365133 " " Order of pole (three term test) = 22.47302228971868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9600000000000015 " " y[1] (analytic) = 1.9280081790995771 " " y[1] (numeric) = 1.9280081790995778 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.45503624930778700000000000000E-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 = 0.2499755646369938 " " Order of pole (three term test) = 22.493009410778445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9700000000000015 " " y[1] (analytic) = 1.9244620812508904 " " y[1] (numeric) = 1.9244620812508912 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.61520353325337400000000000000E-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 = 0.24991538535219346 " " Order of pole (three term test) = 22.513007715289728 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9800000000000015 " " y[1] (analytic) = 1.9208462008958336 " " y[1] (numeric) = 1.9208462008958342 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.467918537488457500000000000000E-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 = 0.24945539476326853 " " Order of pole (three term test) = 22.532985210231363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9900000000000015 " " y[1] (analytic) = 1.9171619843383372 " " y[1] (numeric) = 1.917161984338338 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.63277713075798800000000000000E-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 = 0.24859632875703486 " " Order of pole (three term test) = 22.552909935873114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0000000000000013 " " y[1] (analytic) = 1.9134109052159025 " " y[1] (numeric) = 1.9134109052159032 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.48139447182637340000000000000E-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 = 0.24733956165584522 " " Order of pole (three term test) = 22.57275001690431 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.010000000000001 " " y[1] (analytic) = 1.9095944639101643 " " y[1] (numeric) = 1.909594463910165 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.48835225156178430000000000000E-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 = 0.24568710401896526 " " Order of pole (three term test) = 22.592473713427637 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.020000000000001 " " y[1] (analytic) = 1.90571418694676 " " y[1] (numeric) = 1.9057141869467604 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.3303033208854900000000000000E-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 = 0.24364159942610858 " " Order of pole (three term test) = 22.612049471736153 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0300000000000007 " " y[1] (analytic) = 1.9017716263847384 " " y[1] (numeric) = 1.9017716263847388 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.335134270008406600000000000000E-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 = 0.2412063202482726 " " Order of pole (three term test) = 22.631445974792502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0400000000000005 " " y[1] (analytic) = 1.8977683591957577 " " y[1] (numeric) = 1.897768359195758 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.17003007163176700000000000000E-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 = 0.23838516241264343 " " Order of pole (three term test) = 22.6506321923295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0500000000000003 " " y[1] (analytic) = 1.893705986633317 " " y[1] (numeric) = 1.8937059866333172 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.172540016730835600000000000000E-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 = 0.23518263916994306 " " Order of pole (three term test) = 22.669577430491913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.06 " " y[1] (analytic) = 1.8895861335922775 " " y[1] (numeric) = 1.8895861335922775 " " 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 = 0.23160387387419162 " " Order of pole (three term test) = 22.68825138094014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.07 " " y[1] (analytic) = 1.8854104479589247 " " y[1] (numeric) = 1.8854104479589244 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.177699026572216900000000000000E-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 = 0.22765459178643244 " " Order of pole (three term test) = 22.706624169337008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0799999999999996 " " y[1] (analytic) = 1.8811805999518367 " " y[1] (numeric) = 1.8811805999518365 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.180347091240023700000000000000E-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 = 0.22334111091553813 " " Order of pole (three term test) = 22.724666403140414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0899999999999994 " " y[1] (analytic) = 1.8768982814538195 " " y[1] (numeric) = 1.876898281453819 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.36608032645262620000000000000E-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 = 0.21867033191074156 " " Order of pole (three term test) = 22.742349218625076 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.099999999999999 " " y[1] (analytic) = 1.8725652053351753 " " y[1] (numeric) = 1.8725652053351747 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.55733307912159400000000000000E-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 = 0.2136497270220706 " " Order of pole (three term test) = 22.759644327058336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.109999999999999 " " y[1] (analytic) = 1.8681831047685777 " " y[1] (numeric) = 1.8681831047685773 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.377118220995122500000000000000E-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 = 0.20828732814634193 " " Order of pole (three term test) = 22.77652405995615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999999988 " " y[1] (analytic) = 1.8637537325358267 " " y[1] (numeric) = 1.8637537325358262 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.382767648415834400000000000000E-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 = 0.20259171397783948 " " Order of pole (three term test) = 22.792961413346685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1299999999999986 " " y[1] (analytic) = 1.8592788603267576 " " y[1] (numeric) = 1.859278860326757 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.5827536632026500000000000000E-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 = 0.19657199628423302 " " Order of pole (three term test) = 22.80893009097096 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1399999999999983 " " y[1] (analytic) = 1.8547602780305896 " " y[1] (numeric) = 1.854760278030589 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.59148199724443200000000000000E-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 = 0.19023780532969464 " " Order of pole (three term test) = 22.82440454635126 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.149999999999998 " " y[1] (analytic) = 1.8501997930199947 " " y[1] (numeric) = 1.8501997930199938 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.800446000755372300000000000000E-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 = 0.1835992744685296 " " Order of pole (three term test) = 22.83936002366 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.159999999999998 " " y[1] (analytic) = 1.8455992294281711 " " y[1] (numeric) = 1.8455992294281702 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.81241217236156370000000000000E-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 = 0.17666702393397096 " " Order of pole (three term test) = 22.853772597323836 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1699999999999977 " " y[1] (analytic) = 1.8409604274192157 " " y[1] (numeric) = 1.8409604274192146 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.03067294706352300000000000000E-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 = 0.1694521438480735 " " Order of pole (three term test) = 22.867619210299416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1799999999999975 " " y[1] (analytic) = 1.8362852424520821 " " y[1] (numeric) = 1.8362852424520808 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.25523245926185800000000000000E-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 = 0.16196617647988132 " " Order of pole (three term test) = 22.880877710959762 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1899999999999973 " " y[1] (analytic) = 1.831575544538422 " " y[1] (numeric) = 1.8315755445384208 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.27388850284051200000000000000E-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 = 0.15422109778026327 " " Order of pole (three term test) = 22.89352688853216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.199999999999997 " " y[1] (analytic) = 1.8268332174946063 " " y[1] (numeric) = 1.826833217494605 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.29277099185504300000000000000E-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 = 0.14622929822294278 " " Order of pole (three term test) = 22.905546507030827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.209999999999997 " " y[1] (analytic) = 1.8220601581882219 " " y[1] (numeric) = 1.8220601581882203 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.53052094624998800000000000000E-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 = 0.13800356298238564 " " Order of pole (three term test) = 22.91691733763021 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2199999999999966 " " y[1] (analytic) = 1.8172582757793514 " " y[1] (numeric) = 1.8172582757793498 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.55306180299899800000000000000E-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 = 0.12955705148024674 " " Order of pole (three term test) = 22.92762118942702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2299999999999964 " " y[1] (analytic) = 1.8124294909569343 " " y[1] (numeric) = 1.8124294909569327 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.57584939017167800000000000000E-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 = 0.12090327633310319 " " Order of pole (three term test) = 22.93764093854173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.239999999999996 " " y[1] (analytic) = 1.8075757351705166 " " y[1] (numeric) = 1.8075757351705148 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.82728858789797200000000000000E-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 = 0.11205608173515003 " " Order of pole (three term test) = 22.94696055551319 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.249999999999996 " " y[1] (analytic) = 1.8026989498576969 " " y[1] (numeric) = 1.802698949857695 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.85387404558300900000000000000E-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 = 0.10302962131044276 " " Order of pole (three term test) = 22.955565130942333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.259999999999996 " " y[1] (analytic) = 1.7978010856675775 " " y[1] (numeric) = 1.7978010856675755 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.11158095311930220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.38383354701196200E-2 " " Order of pole (three term test) = 22.963440899344018 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2699999999999956 " " y[1] (analytic) = 1.7928841016805301 " " y[1] (numeric) = 1.7928841016805281 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.11462946347291120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.44969283108211200E-2 " " Order of pole (three term test) = 22.970575261168868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2799999999999954 " " y[1] (analytic) = 1.787949964624591 " " y[1] (numeric) = 1.7879499646245889 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.24189495969286340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.50203440912755400E-2 " " Order of pole (three term test) = 22.976956802959883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.289999999999995 " " y[1] (analytic) = 1.783000648088795 " " y[1] (numeric) = 1.7830006480887928 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.24534225583732550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.54237433246703100E-2 " " Order of pole (three term test) = 22.982575315611513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.299999999999995 " " y[1] (analytic) = 1.7780381317337661 " " y[1] (numeric) = 1.778038131733764 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.24881801442872030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.57224785250666200E-2 " " Order of pole (three term test) = 22.987421810702077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999999947 " " y[1] (analytic) = 1.7730644004998806 " " y[1] (numeric) = 1.7730644004998781 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.37755326511926600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.593206964665091000E-2 " " Order of pole (three term test) = 22.9914885348733 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3199999999999945 " " y[1] (analytic) = 1.7680814438133163 " " y[1] (numeric) = 1.7680814438133137 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.50702065700866640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.60681792551194600E-2 " " Order of pole (three term test) = 22.994768982234014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3299999999999943 " " y[1] (analytic) = 1.7630912547903095 " " y[1] (numeric) = 1.7630912547903066 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.63722657927239140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.614658747091476000E-2 " " Order of pole (three term test) = 22.997257904768244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.339999999999994 " " y[1] (analytic) = 1.758095829439934 " " y[1] (numeric) = 1.7580958294399311 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.64187856866992700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.618316672439714700E-2 " " Order of pole (three term test) = 22.99895132073087 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.349999999999994 " " y[1] (analytic) = 1.7530971658657257 " " y[1] (numeric) = 1.7530971658657226 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.7732185810792278000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.193856363345749000E-3 " " Order of pole (three term test) = 22.999846521017602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3599999999999937 " " y[1] (analytic) = 1.748097263466466 " " y[1] (numeric) = 1.7480972634664629 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.77829033539361280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.8053628466016765000E-3 " " Order of pole (three term test) = 22.999942073498943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3699999999999934 " " y[1] (analytic) = 1.7430981221364505 " " y[1] (numeric) = 1.743098122136447 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.03816046479705440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.37984942877621200E-2 " " Order of pole (three term test) = 22.9992378253113 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3799999999999932 " " y[1] (analytic) = 1.7381017414655564 " " y[1] (numeric) = 1.7381017414655529 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.04401940004091760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.37695510815833800E-2 " " Order of pole (three term test) = 22.99773490310156 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.389999999999993 " " y[1] (analytic) = 1.7331101199394348 " " y[1] (numeric) = 1.7331101199394312 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.04990648772200020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.370258166424175400E-2 " " Order of pole (three term test) = 22.99543571122464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.399999999999993 " " y[1] (analytic) = 1.728125254140142 " " y[1] (numeric) = 1.7281252541401384 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.05581954796917400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.35816953057379900E-2 " " Order of pole (three term test) = 22.99234392789706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4099999999999926 " " y[1] (analytic) = 1.7231491379475337 " " y[1] (numeric) = 1.72314913794753 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.06175635095183140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.339108753167760000E-2 " " Order of pole (three term test) = 22.988464499312627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4199999999999924 " " y[1] (analytic) = 1.7181837617417397 " " y[1] (numeric) = 1.718183761741736 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.19694678053470980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.31150654070572500E-2 " " Order of pole (three term test) = 22.9838036317295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.429999999999992 " " y[1] (analytic) = 1.7132311116070382 " " y[1] (numeric) = 1.7132311116070342 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.3329035187211250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.27380726416150500E-2 " " Order of pole (three term test) = 22.978368781541537 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.439999999999992 " " y[1] (analytic) = 1.7082931685374485 " " y[1] (numeric) = 1.7082931685374445 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.33964694249314240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.22447144765743500E-2 " " Order of pole (three term test) = 22.97216864334967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4499999999999917 " " y[1] (analytic) = 1.7033719076443603 " " y[1] (numeric) = 1.703371907644356 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.47676239970985260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.1619782312974200E-2 " " Order of pole (three term test) = 22.965213136052387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4599999999999915 " " y[1] (analytic) = 1.6984692973665145 " " y[1] (numeric) = 1.6984692973665103 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.48391154324481440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10084827804218487 " " Order of pole (three term test) = 22.957513386977585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4699999999999913 " " y[1] (analytic) = 1.6935872986826555 " " y[1] (numeric) = 1.693587298682651 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.6221808004553070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10991543803967962 " " Order of pole (three term test) = 22.94908171408128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.479999999999991 " " y[1] (analytic) = 1.6887278643271637 " " y[1] (numeric) = 1.6887278643271593 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.62972631192415500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11880675678368725 " " Order of pole (three term test) = 22.939931606241434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.489999999999991 " " y[1] (analytic) = 1.6838929380089906 " " y[1] (numeric) = 1.6838929380089858 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.90100468865117760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12750801006093052 " " Order of pole (three term test) = 22.930077701678663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4999999999999907 " " y[1] (analytic) = 1.6790844536341978 " " y[1] (numeric) = 1.6790844536341931 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.7770709765868130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13600527772233462 " " Order of pole (three term test) = 22.91953576453824 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5099999999999905 " " y[1] (analytic) = 1.6743043345324236 " " y[1] (numeric) = 1.6743043345324187 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.91761850435327150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14428496595229479 " " Order of pole (three term test) = 22.90832265967073 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5199999999999902 " " y[1] (analytic) = 1.669554492687574 " " y[1] (numeric) = 1.6695544926875692 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.92591905789613640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15233382901588258 " " Order of pole (three term test) = 22.896456325651943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.52999999999999 " " y[1] (analytic) = 1.6648368279730572 " " y[1] (numeric) = 1.664836827973052 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.06758345770950800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16013899044919513 " " Order of pole (three term test) = 22.88395574608495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.53999999999999 " " y[1] (analytic) = 1.6601532273918573 " " y[1] (numeric) = 1.660153227391852 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.20998714472449930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16768796365895142 " " Order of pole (three term test) = 22.870840919230407 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5499999999999896 " " y[1] (analytic) = 1.6555055643217598 " " y[1] (numeric) = 1.6555055643217542 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.3531238086777476000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1749686718983783 " " Order of pole (three term test) = 22.857132826013615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5599999999999894 " " y[1] (analytic) = 1.6508956977660243 " " y[1] (numeric) = 1.6508956977660187 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.3624868794785140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18196946758742677 " " Order of pole (three term test) = 22.842853396459475 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.569999999999989 " " y[1] (analytic) = 1.6463254716098095 " " y[1] (numeric) = 1.6463254716098037 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.5066940453795590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18867915094641818 " " Order of pole (three term test) = 22.828025474609145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.579999999999989 " " y[1] (analytic) = 1.6417967138826421 " " y[1] (numeric) = 1.6417967138826361 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.6516118483377540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19508698791330106 " " Order of pole (three term test) = 22.812672781974484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5899999999999888 " " y[1] (analytic) = 1.6373112360272302 " " y[1] (numeric) = 1.6373112360272244 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.5260001892241340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20118272731586034 " " Order of pole (three term test) = 22.79681987958863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5999999999999885 " " y[1] (analytic) = 1.6328708321749108 " " y[1] (numeric) = 1.6328708321749048 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.6715729222687510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20695661727140682 " " Order of pole (three term test) = 22.780492128713636 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6099999999999883 " " y[1] (analytic) = 1.62847727842802 " " y[1] (numeric) = 1.628477278428014 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.68147865026588250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2123994207877098 " " Order of pole (three term test) = 22.763715650267827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.619999999999988 " " y[1] (analytic) = 1.6241323321494767 " " y[1] (numeric) = 1.6241323321494705 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.828043328016620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21750243054021234 " " Order of pole (three term test) = 22.746517283037925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.629999999999988 " " y[1] (analytic) = 1.6198377312598602 " " y[1] (numeric) = 1.619837731259854 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.83819244231660860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22225748280189436 " " Order of pole (three term test) = 22.728924540742707 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6399999999999877 " " y[1] (analytic) = 1.615595193542266 " " y[1] (numeric) = 1.6155951935422599 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.8482714994151940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2266569705034942 " " Order of pole (three term test) = 22.710965568016945 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6499999999999875 " " y[1] (analytic) = 1.6114064159552148 " " y[1] (numeric) = 1.6114064159552086 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.8582749059090693000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23069385540319687 " " Order of pole (three term test) = 22.692669095385934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6599999999999873 " " y[1] (analytic) = 1.6072730739538919 " " y[1] (numeric) = 1.6072730739538854 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.0063469283320013000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2343616793463188 " " Order of pole (three term test) = 22.67406439330286 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.669999999999987 " " y[1] (analytic) = 1.603196820819987 " " y[1] (numeric) = 1.6031968208199803 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.1550345292874680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23765457459697858 " " Order of pole (three term test) = 22.655181225322256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.679999999999987 " " y[1] (analytic) = 1.5991792870004045 " " y[1] (numeric) = 1.5991792870003976 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.30432210361303250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24056727322522176 " " Order of pole (three term test) = 22.636049800484702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6899999999999866 " " y[1] (analytic) = 1.5952220794551055 " " y[1] (numeric) = 1.5952220794550986 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.3149996739182490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24309511553458585 " " Order of pole (three term test) = 22.61670072498877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6999999999999864 " " y[1] (analytic) = 1.5913267810143465 " " y[1] (numeric) = 1.5913267810143397 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.3255620622989527000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2452340575166202 " " Order of pole (three term test) = 22.597164953227693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.709999999999986 " " y[1] (analytic) = 1.5874949497455673 " " y[1] (numeric) = 1.5874949497455602 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.47587399175021660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24698067732043677 " " Order of pole (three term test) = 22.577473738268864 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.719999999999986 " " y[1] (analytic) = 1.5837281183301846 " " y[1] (numeric) = 1.5837281183301775 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.4865196717556940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24833218072694174 " " Order of pole (three term test) = 22.55765858185566 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7299999999999858 " " y[1] (analytic) = 1.580027793450541 " " y[1] (numeric) = 1.5800277934505338 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.4970268162712680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24928640561899015 " " Order of pole (three term test) = 22.537751184011327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7399999999999856 " " y[1] (analytic) = 1.5763954551872512 " " y[1] (numeric) = 1.5763954551872439 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.6482447906167330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2498418254403119 " " Order of pole (three term test) = 22.517783392325732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7499999999999853 " " y[1] (analytic) = 1.57283255642719 " " y[1] (numeric) = 1.5728325564271828 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.6587743447852760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499975516376759 " " Order of pole (three term test) = 22.497787151006005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.759999999999985 " " y[1] (analytic) = 1.569340522282357 " " y[1] (numeric) = 1.5693405222823498 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.6691408642589477000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2497533350823864 " " Order of pole (three term test) = 22.477794449772617 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.769999999999985 " " y[1] (analytic) = 1.5659207495198504 " " y[1] (numeric) = 1.5659207495198428 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.8211357884911676000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249109566468835 " " Order of pole (three term test) = 22.457837272682664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7799999999999847 " " y[1] (analytic) = 1.5625746060031782 " " y[1] (numeric) = 1.5625746060031707 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.8314599113840395000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24806727568947343 " " Order of pole (three term test) = 22.437947546962178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7899999999999845 " " y[1] (analytic) = 1.559303430145133 " " y[1] (numeric) = 1.5593034301451254 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.8415955621596946000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2466281301872051 " " Order of pole (three term test) = 22.418157091929405 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7999999999999843 " " y[1] (analytic) = 1.5561085303724425 " " y[1] (numeric) = 1.556108530372435 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.8515360079956293000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2447944322878326 " " Order of pole (three term test) = 22.398497568090658 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.809999999999984 " " y[1] (analytic) = 1.552991184602418 " " y[1] (numeric) = 1.5529911846024103 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 5.0042532433084590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24256911551682644 " " Order of pole (three term test) = 22.379000426490265 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.819999999999984 " " y[1] (analytic) = 1.5499526397318033 " " y[1] (numeric) = 1.5499526397317955 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 5.0140636385643710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23995573990631153 " " Order of pole (three term test) = 22.359696858395623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8299999999999836 " " y[1] (analytic) = 1.5469941111380334 " " y[1] (numeric) = 1.5469941111380254 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.1671856536161590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23695848629977445 " " Order of pole (three term test) = 22.340617745397807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8399999999999834 " " y[1] (analytic) = 1.544116782193099 " " y[1] (numeric) = 1.544116782193091 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.1768142600897450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23358214966360533 " " Order of pole (three term test) = 22.321793610007624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.849999999999983 " " y[1] (analytic) = 1.5413218037902148 " " y[1] (numeric) = 1.5413218037902066 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 5.3302628704942190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22983213141617556 " " Order of pole (three term test) = 22.303254566826087 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.859999999999983 " " y[1] (analytic) = 1.5386102938834754 " " y[1] (numeric) = 1.5386102938834672 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 5.3396564515955070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2257144307867198 " " Order of pole (three term test) = 22.285030274367507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.869999999999983 " " y[1] (analytic) = 1.5359833370406908 " " y[1] (numeric) = 1.5359833370406824 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.493350600669740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22123563521784903 " " Order of pole (three term test) = 22.267149887612185 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8799999999999826 " " y[1] (analytic) = 1.5334419840095723 " " y[1] (numeric) = 1.5334419840095639 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5024546576510840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21640290982704816 " " Order of pole (three term test) = 22.24964201136464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8899999999999824 " " y[1] (analytic) = 1.5309872512974483 " " y[1] (numeric) = 1.5309872512974398 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5112771056719080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21122398594401598 " " Order of pole (three term test) = 22.232534654492042 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.899999999999982 " " y[1] (analytic) = 1.5286201207646744 " " y[1] (numeric) = 1.528620120764666 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5198115427986980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2057071487421872 " " Order of pole (three term test) = 22.21585518511604 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.909999999999982 " " y[1] (analytic) = 1.5263415392319022 " " y[1] (numeric) = 1.5263415392318938 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5280517304123640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19986122398422249 " " Order of pole (three term test) = 22.19963028682952 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999999817 " " y[1] (analytic) = 1.5241524181013641 " " y[1] (numeric) = 1.5241524181013557 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5359916022454110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19369556390267004 " " Order of pole (three term test) = 22.183885916008624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9299999999999815 " " y[1] (analytic) = 1.5220536329923247 " " y[1] (numeric) = 1.5220536329923162 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5436252732847950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1872200322383898 " " Order of pole (three term test) = 22.168647260288033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9399999999999813 " " y[1] (analytic) = 1.520046023390844 " " y[1] (numeric) = 1.5200460233908353 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.6970246024251950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18044498846067172 " " Order of pole (three term test) = 22.15393869826617 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.949999999999981 " " y[1] (analytic) = 1.5181303923139946 " " y[1] (numeric) = 1.518130392313986 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7042133112668290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1733812711942943 " " Order of pole (three term test) = 22.139783760504613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.959999999999981 " " y[1] (analytic) = 1.5163075059886661 " " y[1] (numeric) = 1.5163075059886575 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.71107084669470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1660401808800381 " " Order of pole (three term test) = 22.126205091884206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9699999999999807 " " y[1] (analytic) = 1.5145780935450839 " " y[1] (numeric) = 1.5145780935450752 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7175920006916770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1584334616963898 " " Order of pole (three term test) = 22.113224415378124 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9799999999999804 " " y[1] (analytic) = 1.5129428467251667 " " y[1] (numeric) = 1.512942846725158 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7237717940374420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15057328277136342 " " Order of pole (three term test) = 22.100862497299712 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9899999999999802 " " y[1] (analytic) = 1.5114024196058395 " " y[1] (numeric) = 1.5114024196058309 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7296054841136250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14247221871448992 " " Order of pole (three term test) = 22.08913911408083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.99999999999998 " " y[1] (analytic) = 1.5099574283374113 " " y[1] (numeric) = 1.5099574283374027 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7350885724051940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13414322950012555 " " Order of pole (three term test) = 22.078073020633777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.00999999999998 " " y[1] (analytic) = 1.5086084508971231 " " y[1] (numeric) = 1.5086084508971145 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7402168116760440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1255996397342572 " " Order of pole (three term test) = 22.067681920347415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0199999999999796 " " y[1] (analytic) = 1.507356026857965 " " y[1] (numeric) = 1.5073560268579564 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7449862127974950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1168551173379748 " " Order of pole (three term test) = 22.057982436765556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0299999999999794 " " y[1] (analytic) = 1.5062006571728541 " " y[1] (numeric) = 1.5062006571728455 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7493930512091230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10792365168171388 " " Order of pole (three term test) = 22.048990086992827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.039999999999979 " " y[1] (analytic) = 1.5051428039742594 " " y[1] (numeric) = 1.5051428039742507 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7534338729923720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.88195312052466100E-2 " " Order of pole (three term test) = 22.04071925687059 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.049999999999979 " " y[1] (analytic) = 1.5041828903893557 " " y[1] (numeric) = 1.504182890389347 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7571055005383410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.95573205592266700E-2 " " Order of pole (three term test) = 22.033183177962695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0599999999999787 " " y[1] (analytic) = 1.5033213003707788 " " y[1] (numeric) = 1.50332130037077 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9081077310689680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.01518373048546600E-2 " " Order of pole (three term test) = 22.026393906387785 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0699999999999785 " " y[1] (analytic) = 1.5025583785430479 " " y[1] (numeric) = 1.502558378543039 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9111075641623010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.0618128208941800E-2 " " Order of pole (three term test) = 22.02036230353207 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0799999999999783 " " y[1] (analytic) = 1.5018944300647221 " " y[1] (numeric) = 1.5018944300647132 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9137207111278140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.097144517229174000E-2 " " Order of pole (three term test) = 22.015098018673456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.089999999999978 " " y[1] (analytic) = 1.5013297205063405 " " y[1] (numeric) = 1.5013297205063314 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 6.0638437230536630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.122722082991396000E-2 " " Order of pole (three term test) = 22.010609473544722 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.099999999999978 " " y[1] (analytic) = 1.5008644757441965 " " y[1] (numeric) = 1.5008644757441876 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9177789470946480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.14010438620992400E-2 " " Order of pole (three term test) = 22.00690384886057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999999777 " " y[1] (analytic) = 1.5004988818699925 " " y[1] (numeric) = 1.5004988818699834 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 6.0672013234562780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.15086340558568660E-2 " " Order of pole (three term test) = 22.003987072830014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1199999999999775 " " y[1] (analytic) = 1.500233085116403 " " y[1] (numeric) = 1.5002330851163939 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 6.0682762513665790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.156581715660853500E-2 " " Order of pole (three term test) = 22.001863811672482 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1299999999999772 " " y[1] (analytic) = 1.500067191798586 " " y[1] (numeric) = 1.5000671917985768 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 6.0689473456257380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.158849955037192200E-2 " " Order of pole (three term test) = 22.000537462152877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.139999999999977 " " y[1] (analytic) = 1.5000012682716561 " " y[1] (numeric) = 1.5000012682716473 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9211844582205550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.5926428169361262000E-3 " " Order of pole (three term test) = 22.000010146147513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.149999999999977 " " y[1] (analytic) = 1.500035340904146 " " y[1] (numeric) = 1.5000353409041371 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.921049961161420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.405761805261095000E-3 " " Order of pole (three term test) = 22.000282707249497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1599999999999766 " " y[1] (analytic) = 1.5001693960674565 " " y[1] (numeric) = 1.5001693960674476 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9205208560339640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.83907190017034480E-2 " " Order of pole (three term test) = 22.001354709419203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1699999999999764 " " y[1] (analytic) = 1.5004033801413097 " " y[1] (numeric) = 1.5004033801413008 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9195975659324060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.83462549708872400E-2 " " Order of pole (three term test) = 22.003224437681865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.179999999999976 " " y[1] (analytic) = 1.5007371995351957 " " y[1] (numeric) = 1.5007371995351868 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9182808287500930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.82564429789961500E-2 " " Order of pole (three term test) = 22.00588890087109 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.189999999999976 " " y[1] (analytic) = 1.501170720725808 " " y[1] (numeric) = 1.5011707207257992 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.91657169592740100000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.81054288392779200E-2 " " Order of pole (three term test) = 22.009343836414175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999999758 " " y[1] (analytic) = 1.5017037703104505 " " y[1] (numeric) = 1.5017037703104417 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.9144715306701940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.787745627536100E-2 " " Order of pole (three term test) = 22.013583717151274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2099999999999755 " " y[1] (analytic) = 1.5023361350763964 " " y[1] (numeric) = 1.5023361350763877 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7641824555034470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.7556892127935700E-2 " " Order of pole (three term test) = 22.018601760177642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2199999999999753 " " y[1] (analytic) = 1.503067562086171 " " y[1] (numeric) = 1.5030675620861624 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7613774726513310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.71282513644739800E-2 " " Order of pole (three term test) = 22.024389937694927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.229999999999975 " " y[1] (analytic) = 1.5038977587787226 " " y[1] (numeric) = 1.503897758778714 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7581970193961710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.65762218519786700E-2 " " Order of pole (three term test) = 22.030938989853823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.239999999999975 " " y[1] (analytic) = 1.5048263930864432 " " y[1] (numeric) = 1.5048263930864345 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7546436132840820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.58856888531291400E-2 " " Order of pole (three term test) = 22.038238439567948 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2499999999999747 " " y[1] (analytic) = 1.5058530935679915 " " y[1] (numeric) = 1.5058530935679828 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.750720059655820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10504175920663732 " " Order of pole (three term test) = 22.04627660927488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2599999999999745 " " y[1] (analytic) = 1.5069774495568637 " " y[1] (numeric) = 1.506977449556855 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.7464294469852030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11402978515312837 " " Order of pole (three term test) = 22.05504063961781 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2699999999999743 " " y[1] (analytic) = 1.5081990113256558 " " y[1] (numeric) = 1.5081990113256472 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 5.741775141772970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12283538776843116 " " Order of pole (three term test) = 22.064516510017754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.279999999999974 " " y[1] (analytic) = 1.5095172902659473 " " y[1] (numeric) = 1.5095172902659388 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5896643526783540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1314444799667897 " " Order of pole (three term test) = 22.07468906110348 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.289999999999974 " " y[1] (analytic) = 1.5109317590837392 " " y[1] (numeric) = 1.5109317590837308 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.584431551209160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13984328903719492 " " Order of pole (three term test) = 22.085542018963274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2999999999999736 " " y[1] (analytic) = 1.5124418520103635 " " y[1] (numeric) = 1.512441852010355 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.578855792661159000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1480183786767846 " " Order of pole (three term test) = 22.09705802117974 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3099999999999734 " " y[1] (analytic) = 1.514046965028784 " " y[1] (numeric) = 1.5140469650287756 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5729413829582090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15595667048606157 " " Order of pole (three term test) = 22.109218644605956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.319999999999973 " " y[1] (analytic) = 1.5157464561151943 " " y[1] (numeric) = 1.5157464561151859 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5666928681309340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1636454648915428 " " Order of pole (three term test) = 22.12200443483855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.329999999999973 " " y[1] (analytic) = 1.5175396454958197 " " y[1] (numeric) = 1.5175396454958112 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5601150271065080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1710724614623681 " " Order of pole (three term test) = 22.135394937340653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3399999999999728 " " y[1] (analytic) = 1.5194258159188165 " " y[1] (numeric) = 1.5194258159188083 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 5.4070756835588240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17822577858836572 " " Order of pole (three term test) = 22.149368730164746 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3499999999999726 " " y[1] (analytic) = 1.5214042129411647 " " y[1] (numeric) = 1.5214042129411562 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5459916012980640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18509397248809364 " " Order of pole (three term test) = 22.163903458223224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3599999999999723 " " y[1] (analytic) = 1.523474045230433 " " y[1] (numeric) = 1.5234740452304245 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5384566698508790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19166605551644889 " " Order of pole (three term test) = 22.178975869051776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.369999999999972 " " y[1] (analytic) = 1.5256344848813033 " " y[1] (numeric) = 1.5256344848812948 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5306137025394100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19793151374255571 " " Order of pole (three term test) = 22.194561850008355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.379999999999972 " " y[1] (analytic) = 1.5278846677467208 " " y[1] (numeric) = 1.5278846677467124 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 5.5224685247970020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20388032376981202 " " Order of pole (three term test) = 22.210636466848246 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999999717 " " y[1] (analytic) = 1.5302236937835412 " " y[1] (numeric) = 1.530223693783533 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 5.3689211685858970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20950296877118607 " " Order of pole (three term test) = 22.22717400361359 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3999999999999715 " " y[1] (analytic) = 1.5326506274125367 " " y[1] (numeric) = 1.5326506274125284 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 5.3604195472102130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21479045371410935 " " Order of pole (three term test) = 22.244148003773372 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4099999999999713 " " y[1] (analytic) = 1.535164497892614 " " y[1] (numeric) = 1.535164497892606 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.2070027598177860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21973431975060986 " " Order of pole (three term test) = 22.261531312548275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.419999999999971 " " y[1] (analytic) = 1.5377642997090992 " " y[1] (numeric) = 1.5377642997090912 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.1981996062812020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2243266577496642 " " Order of pole (three term test) = 22.279296120352495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.429999999999971 " " y[1] (analytic) = 1.5404489929759293 " " y[1] (numeric) = 1.5404489929759213 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.1891401881854030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22856012095012043 " " Order of pole (three term test) = 22.29741400728317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4399999999999706 " " y[1] (analytic) = 1.5432175038515927 " " y[1] (numeric) = 1.5432175038515847 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 5.1798309423982860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23242793671394846 " " Order of pole (three term test) = 22.315855988586144 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4499999999999704 " " y[1] (analytic) = 1.5460687249686522 " " y[1] (numeric) = 1.5460687249686444 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 5.0266595830231740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2359239173610163 " " Order of pole (three term test) = 22.334592561025417 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.45999999999997 " " y[1] (analytic) = 1.549001515876677 " " y[1] (numeric) = 1.5490015158766692 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 5.0171423931613670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23904247006805815 " " Order of pole (three term test) = 22.353593750082023 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.46999999999997 " " y[1] (analytic) = 1.5520147034984069 " " y[1] (numeric) = 1.5520147034983993 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.8643331473816886000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2417786058159983 " " Order of pole (three term test) = 22.372829157906825 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.47999999999997 " " y[1] (analytic) = 1.5551070825989686 " " y[1] (numeric) = 1.5551070825989612 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.711876143139940300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2441279473713178 " " Order of pole (three term test) = 22.392268011950634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4899999999999696 " " y[1] (analytic) = 1.5582774162679534 " " y[1] (numeric) = 1.558277416267946 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.7022897758957430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2460867362886946 " " Order of pole (three term test) = 22.411879214193732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4999999999999694 " " y[1] (analytic) = 1.5615244364141638 " " y[1] (numeric) = 1.5615244364141565 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.6925118759925470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24765183892371348 " " Order of pole (three term test) = 22.431631390896023 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.509999999999969 " " y[1] (analytic) = 1.5648468442728345 " " y[1] (numeric) = 1.5648468442728274 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.54065353654645230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24882075144602886 " " Order of pole (three term test) = 22.45149294278835 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.519999999999969 " " y[1] (analytic) = 1.5682433109251204 " " y[1] (numeric) = 1.5682433109251133 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.53081948961698340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2495916038449601 " " Order of pole (three term test) = 22.471432095624596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999999687 " " y[1] (analytic) = 1.5717124778296458 " " y[1] (numeric) = 1.571712477829639 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.3795432369291430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24996316292110848 " " Order of pole (three term test) = 22.491416951013687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5399999999999685 " " y[1] (analytic) = 1.5752529573659042 " " y[1] (numeric) = 1.5752529573658975 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.22874187704421150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499348342592139 " " Order of pole (three term test) = 22.5114155374502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5499999999999683 " " y[1] (analytic) = 1.578863333389287 " " y[1] (numeric) = 1.57886333338928 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.35970777654305860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24950666317909245 " " Order of pole (three term test) = 22.53139586146198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.559999999999968 " " y[1] (analytic) = 1.5825421617975217 " " y[1] (numeric) = 1.5825421617975153 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.06895544287545040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2486793346631337 " " Order of pole (three term test) = 22.55132595879284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.569999999999968 " " y[1] (analytic) = 1.5862879711082964 " " y[1] (numeric) = 1.58628797110829 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.0593471425790040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2474541722604761 " " Order of pole (three term test) = 22.571173945538593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5799999999999677 " " y[1] (analytic) = 1.59009926304783 " " y[1] (numeric) = 1.5900992630478235 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.04961733677139330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24583313596960968 " " Order of pole (three term test) = 22.590908069154448 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5899999999999674 " " y[1] (analytic) = 1.5939745131501626 " " y[1] (numeric) = 1.5939745131501564 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.90046947840700650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2438188191027974 " " Order of pole (three term test) = 22.61049675925234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5999999999999672 " " y[1] (analytic) = 1.5979121713669233 " " y[1] (numeric) = 1.597912171366917 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.89085773880949450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24141444413732796 " " Order of pole (three term test) = 22.629908678106816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.609999999999967 " " y[1] (analytic) = 1.6019106626873265 " " y[1] (numeric) = 1.6019106626873203 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.88114586082532850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23862385756024015 " " Order of pole (three term test) = 22.64911277078869 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.619999999999967 " " y[1] (analytic) = 1.6059683877681568 " " y[1] (numeric) = 1.6059683877681505 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.8713395514223660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23545152371476405 " " Order of pole (three term test) = 22.668078314846333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6299999999999666 " " y[1] (analytic) = 1.6100837235734837 " " y[1] (numeric) = 1.6100837235734775 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.86144449935936660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23190251765832384 " " Order of pole (three term test) = 22.68677496945502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6399999999999664 " " y[1] (analytic) = 1.6142550240238558 " " y[1] (numeric) = 1.6142550240238496 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.85146637016692160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22798251704352912 " " Order of pole (three term test) = 22.70517282395577 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.649999999999966 " " y[1] (analytic) = 1.6184806206547093 " " y[1] (numeric) = 1.6184806206547033 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.70421755841022050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22369779303514117 " " Order of pole (three term test) = 22.723242445706074 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.659999999999966 " " y[1] (analytic) = 1.6227588232837327 " " y[1] (numeric) = 1.622758823283727 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.5576202977399560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21905520027754777 " " Order of pole (three term test) = 22.740954927165753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6699999999999657 " " y[1] (analytic) = 1.6270879206869162 " " y[1] (numeric) = 1.6270879206869104 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.54815474606530730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21406216592879374 " " Order of pole (three term test) = 22.758281932142946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6799999999999655 " " y[1] (analytic) = 1.6314661812830191 " " y[1] (numeric) = 1.6314661812830134 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.53863279195323600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20872667777871415 " " Order of pole (three term test) = 22.775195741125923 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6899999999999653 " " y[1] (analytic) = 1.635891853826179 " " y[1] (numeric) = 1.6358918538261733 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.5290595246550070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20305727147017147 " " Order of pole (three term test) = 22.791669295628388 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.699999999999965 " " y[1] (analytic) = 1.6403631681063866 " " y[1] (numeric) = 1.640363168106381 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.38407691117200300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1970630168438506 " " Order of pole (three term test) = 22.807676241477303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.709999999999965 " " y[1] (analytic) = 1.644878335657547 " " y[1] (numeric) = 1.6448783356575414 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.37478766835767330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19075350342844807 " " Order of pole (three term test) = 22.82319097097396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999999647 " " y[1] (analytic) = 1.6494355504728406 " " y[1] (numeric) = 1.649435550472835 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.3654634893339450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1841388250994704 " " Order of pole (three term test) = 22.83818866386079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7299999999999645 " " y[1] (analytic) = 1.6540329897271036 " " y[1] (numeric) = 1.6540329897270982 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.22186470965127900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17722956393118788 " " Order of pole (three term test) = 22.852645327028505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7399999999999642 " " y[1] (analytic) = 1.658668814505933 " " y[1] (numeric) = 1.6586688145059274 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.3467290604238510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1700367732675727 " " Order of pole (three term test) = 22.866537832899976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.749999999999964 " " y[1] (analytic) = 1.6633411705412267 " " y[1] (numeric) = 1.6633411705412213 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.20383491527883650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16257196003930646 " " Order of pole (three term test) = 22.879843956429365 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.759999999999964 " " y[1] (analytic) = 1.6680481889528684 " " y[1] (numeric) = 1.668048188952863 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.19479410336827360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15484706635514597 " " Order of pole (three term test) = 22.89254241065753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7699999999999636 " " y[1] (analytic) = 1.6727879869962528 " " y[1] (numeric) = 1.6727879869962476 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.0530025041883330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14687445039709615 " " Order of pole (three term test) = 22.90461288076655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7799999999999634 " " y[1] (analytic) = 1.677558668815359 " " y[1] (numeric) = 1.6775586688153539 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.0443203020029980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13866686664995614 " " Order of pole (three term test) = 22.916036056579156 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.789999999999963 " " y[1] (analytic) = 1.6823583262010673 " " y[1] (numeric) = 1.6823583262010624 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.90365092398684350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13023744549686322 " " Order of pole (three term test) = 22.926793663450862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.799999999999963 " " y[1] (analytic) = 1.6871850393544183 " " y[1] (numeric) = 1.6871850393544134 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.89534413499770550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12159967221348202 " " Order of pole (three term test) = 22.9368684915055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999999627 " " y[1] (analytic) = 1.6920368776545058 " " y[1] (numeric) = 1.6920368776545012 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.7558126923861140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11276736539443924 " " Order of pole (three term test) = 22.946244423167382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8199999999999625 " " y[1] (analytic) = 1.6969119004307003 " " y[1] (numeric) = 1.6969119004306958 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.6170434053609176000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10375465484652036 " " Order of pole (three term test) = 22.954906458945924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8299999999999623 " " y[1] (analytic) = 1.7018081577388906 " " y[1] (numeric) = 1.7018081577388862 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.6095139327578630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.45759589839929400E-2 " " Order of pole (three term test) = 22.962840741431688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.839999999999962 " " y[1] (analytic) = 1.7067236911414359 " " y[1] (numeric) = 1.7067236911414316 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.47189836027534220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.52459617622195900E-2 " " Order of pole (three term test) = 22.970034577465253 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.849999999999962 " " y[1] (analytic) = 1.711656534490515 " " y[1] (numeric) = 1.7116565344905108 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.46477456695560730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.57795891864620200E-2 " " Order of pole (three term test) = 22.976476458443567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8599999999999617 " " y[1] (analytic) = 1.7166047147145584 " " y[1] (numeric) = 1.7166047147145544 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.32831871798462460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.61919854334559200E-2 " " Order of pole (three term test) = 22.98215607873126 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8699999999999615 " " y[1] (analytic) = 1.7215662526074516 " " y[1] (numeric) = 1.7215662526074478 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.1926302737454080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.64984886239611000E-2 " " Order of pole (three term test) = 22.987064352147467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8799999999999613 " " y[1] (analytic) = 1.72653916362019 " " y[1] (numeric) = 1.7265391636201863 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.18631489123632530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.67146062850353260E-2 " " Order of pole (three term test) = 22.991193426501752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.889999999999961 " " y[1] (analytic) = 1.7315214586546737 " " y[1] (numeric) = 1.7315214586546699 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.1800239695893670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.68559905413045900E-2 " " Order of pole (three term test) = 22.99453669615598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.899999999999961 " " y[1] (analytic) = 1.736511144859318 " " y[1] (numeric) = 1.7365111448593145 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.04589166577927220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.693841307489990000E-2 " " Order of pole (three term test) = 22.997088812591908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9099999999999606 " " y[1] (analytic) = 1.7415062264261696 " " y[1] (numeric) = 1.7415062264261663 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.91252205897104320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.697773989413030300E-2 " " Order of pole (three term test) = 22.998845692967624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9199999999999604 " " y[1] (analytic) = 1.746504705389202 " " y[1] (numeric) = 1.7465047053891987 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.9070484400059160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.989905951254968000E-3 " " Order of pole (three term test) = 22.99980452664934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.92999999999996 " " y[1] (analytic) = 1.7515045824234754 " " y[1] (numeric) = 1.751504582423472 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.90160454462926840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.009110350042116000E-3 " " Order of pole (three term test) = 22.9999637797077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.93999999999996 " " y[1] (analytic) = 1.7565038576448402 " " y[1] (numeric) = 1.756503857644837 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.7697794715455690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.300331271668836400E-2 " " Order of pole (three term test) = 22.999323197371766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9499999999999598 " " y[1] (analytic) = 1.761500531409864 " " y[1] (numeric) = 1.761500531409861 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.63870507703739150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.29767125568800580E-2 " " Order of pole (three term test) = 22.99788380443665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9599999999999596 " " y[1] (analytic) = 1.7664926051156624 " " y[1] (numeric) = 1.7664926051156595 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.63407412839772750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.29133545584183500E-2 " " Order of pole (three term test) = 22.995647903623986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9699999999999593 " " y[1] (analytic) = 1.7714780819993128 " " y[1] (numeric) = 1.7714780819993101 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.5041310904017210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.27973422138036700E-2 " " Order of pole (three term test) = 22.992619071898094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.979999999999959 " " y[1] (analytic) = 1.776454967936534 " " y[1] (numeric) = 1.7764549679365316 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.37492404719521480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.26128632512603700E-2 " " Order of pole (three term test) = 22.988802154743627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.989999999999959 " " y[1] (analytic) = 1.781421272239309 " " y[1] (numeric) = 1.7814212722393066 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.3710909891095260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.23442149309933700E-2 " " Order of pole (three term test) = 22.98420325841381 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999999587 " " y[1] (analytic) = 1.786375008452133 " " y[1] (numeric) = 1.7863750084521306 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.36728886298724340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.19758291662269100E-2 " " Order of pole (three term test) = 22.978829740161718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.009999999999959 " " y[1] (analytic) = 1.7913141951465699 " " y[1] (numeric) = 1.7913141951465674 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.36351884040950920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.14922974288194800E-2 " " Order of pole (three term test) = 22.972690196470257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.019999999999959 " " y[1] (analytic) = 1.7962368567137965 " " y[1] (numeric) = 1.7962368567137943 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.23616550954900480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.08783953996217500E-2 " " Order of pole (three term test) = 22.96579444929965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.0299999999999585 " " y[1] (analytic) = 1.801141024154821 " " y[1] (numeric) = 1.8011410241548187 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.23279966391984730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10011910732414173 " " Order of pole (three term test) = 22.958153530374336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.039999999999958 " " y[1] (analytic) = 1.8060247358680546 " " y[1] (numeric) = 1.8060247358680526 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.1065194206018240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10919965003454676 " " Order of pole (three term test) = 22.949779663534635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999958 " " y[1] (analytic) = 1.8108860384339276 " " y[1] (numeric) = 1.8108860384339256 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.10354898205163670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11810549659957997 " " Order of pole (three term test) = 22.94068624518116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.059999999999958 " " y[1] (analytic) = 1.81572298739623 " " y[1] (numeric) = 1.8157229873962282 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.78319298555320400000000000000E-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 = 0.12682239956454897 " " Order of pole (three term test) = 22.930887822843445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.069999999999958 " " y[1] (analytic) = 1.8205336480398686 " " y[1] (numeric) = 1.820533648039867 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.53767375378486100000000000000E-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 = 0.13533641374421687 " " Order of pole (three term test) = 22.92040007190701 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.079999999999957 " " y[1] (analytic) = 1.8253160961647277 " " y[1] (numeric) = 1.8253160961647261 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.51530448748614200000000000000E-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 = 0.14363391853212257 " " Order of pole (three term test) = 22.909239770536086 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999957 " " y[1] (analytic) = 1.8300684188553218 " " y[1] (numeric) = 1.8300684188553205 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.27987880575251900000000000000E-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 = 0.15170163969064565 " " Order of pole (three term test) = 22.897424772832135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999957 " " y[1] (analytic) = 1.8347887152459386 " " y[1] (numeric) = 1.8347887152459372 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.26115011761236200000000000000E-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 = 0.1595266705869539 " " Order of pole (three term test) = 22.884973980271088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999957 " " y[1] (analytic) = 1.8394750972809581 " " y[1] (numeric) = 1.8394750972809568 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.24265107757911400000000000000E-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 = 0.16709649284086467 " " Order of pole (three term test) = 22.871907311465016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999957 " " y[1] (analytic) = 1.8441256904700507 " " y[1] (numeric) = 1.8441256904700494 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.22438625759074500000000000000E-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 = 0.17439899635158057 " " Order of pole (three term test) = 22.858245670296576 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.129999999999956 " " y[1] (analytic) = 1.8487386346379477 " " y[1] (numeric) = 1.8487386346379464 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.20636008026681300000000000000E-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 = 0.18142249867126914 " " Order of pole (three term test) = 22.84401091247734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999956 " " y[1] (analytic) = 1.8533120846684872 " " y[1] (numeric) = 1.8533120846684858 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.18857682184972300000000000000E-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 = 0.18815576369448567 " " Order of pole (three term test) = 22.82922581058322 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.149999999999956 " " y[1] (analytic) = 1.8578442112426352 " " y[1] (numeric) = 1.857844211242634 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.97586717931841300000000000000E-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 = 0.19458801963354674 " " Order of pole (three term test) = 22.813914017623258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.159999999999956 " " y[1] (analytic) = 1.8623332015701899 " " y[1] (numeric) = 1.862333201570189 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.769170301808908000000000000000E-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 = 0.20070897625109105 " " Order of pole (three term test) = 22.79810002919986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.1699999999999555 " " y[1] (analytic) = 1.8667772601148727 " " y[1] (numeric) = 1.8667772601148718 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.75781679301938150000000000000E-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 = 0.20650884132226482 " " Order of pole (three term test) = 22.781809144321016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999955 " " y[1] (analytic) = 1.8711746093125186 " " y[1] (numeric) = 1.871174609312518 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.55997677319828400000000000000E-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 = 0.21197833630019314 " " Order of pole (three term test) = 22.76506742492733 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.189999999999955 " " y[1] (analytic) = 1.8755234902820797 " " y[1] (numeric) = 1.875523490282079 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.55172205641053900000000000000E-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 = 0.21710871115967448 " " Order of pole (three term test) = 22.74790165419847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999955 " " y[1] (analytic) = 1.879822163529152 " " y[1] (numeric) = 1.8798221635291514 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.543600175053280300000000000000E-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 = 0.2218917583953554 " " Order of pole (three term test) = 22.730339293705764 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.209999999999955 " " y[1] (analytic) = 1.8840689096417518 " " y[1] (numeric) = 1.8840689096417513 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.357075198138609600000000000000E-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 = 0.2263198261519873 " " Order of pole (three term test) = 22.71240843947955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.2199999999999545 " " y[1] (analytic) = 1.8882620299780566 " " y[1] (numeric) = 1.8882620299780561 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.351841019941619800000000000000E-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 = 0.23038583046576422 " " Order of pole (three term test) = 22.694137777061556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999954 " " y[1] (analytic) = 1.8923998473458394 " " y[1] (numeric) = 1.892399847345839 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.346698613788804600000000000000E-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 = 0.23408326659715178 " " Order of pole (three term test) = 22.67555653561411 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999954 " " y[1] (analytic) = 1.8964807066733231 " " y[1] (numeric) = 1.8964807066733227 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.341648972686115600000000000000E-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 = 0.23740621943708437 " " Order of pole (three term test) = 22.656694441159743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.249999999999954 " " y[1] (analytic) = 1.9005029756711875 " " y[1] (numeric) = 1.900502975671187 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.33669305197076400000000000000E-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 = 0.24034937296987652 " " Order of pole (three term test) = 22.637581669025888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999954 " " y[1] (analytic) = 1.904465045485463 " " y[1] (numeric) = 1.9044650454854628 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.165915885153095100000000000000E-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 = 0.2429080187777153 " " Order of pole (three term test) = 22.61824879557078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.269999999999953 " " y[1] (analytic) = 1.908365331341051 " " y[1] (numeric) = 1.9083653313410507 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.163533005333919000000000000000E-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 = 0.24507806357312337 " " Order of pole (three term test) = 22.598726749267833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.279999999999953 " " y[1] (analytic) = 1.9122022731756119 " " y[1] (numeric) = 1.9122022731756119 " " 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 = 0.24685603574734655 " " Order of pole (three term test) = 22.579046761226632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.289999999999953 " " y[1] (analytic) = 1.9159743362635706 " " y[1] (numeric) = 1.9159743362635708 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.158912208386103200000000000000E-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 = 0.24823909092418606 " " Order of pole (three term test) = 22.55924031522988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.299999999999953 " " y[1] (analytic) = 1.919680011829986 " " y[1] (numeric) = 1.919680011829986 " " 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 = 0.24922501651039536 " " Order of pole (three term test) = 22.539339097366017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3099999999999525 " " y[1] (analytic) = 1.9233178176540389 " " y[1] (numeric) = 1.923317817654039 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.154487328547028900000000000000E-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 = 0.24981223523535606 " " Order of pole (three term test) = 22.51937494533826 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.319999999999952 " " y[1] (analytic) = 1.9268862986619038 " " y[1] (numeric) = 1.9268862986619042 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.304698570737949000000000000000E-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 = 0.24999980767437482 " " Order of pole (three term test) = 22.49937979753107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.329999999999952 " " y[1] (analytic) = 1.9303840275087565 " " y[1] (numeric) = 1.930384027508757 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.30052260856705710000000000000E-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 = 0.2497874337515625 " " Order of pole (three term test) = 22.479385641915524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.339999999999952 " " y[1] (analytic) = 1.933809605149694 " " y[1] (numeric) = 1.9338096051496945 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.296447430333691500000000000000E-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 = 0.24917545321989168 " " Order of pole (three term test) = 22.45942446487542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.349999999999952 " " y[1] (analytic) = 1.9371616613993337 " " y[1] (numeric) = 1.9371616613993343 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.438710501290344600000000000000E-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 = 0.2481648451176641 " " Order of pole (three term test) = 22.439528200035852 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3599999999999515 " " y[1] (analytic) = 1.9404388554798693 " " y[1] (numeric) = 1.94043885547987 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.432902886344025000000000000000E-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 = 0.2467572262022584 " " Order of pole (three term test) = 22.419728677176277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.369999999999951 " " y[1] (analytic) = 1.9436398765573637 " " y[1] (numeric) = 1.9436398765573644 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.42724916693400600000000000000E-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 = 0.24495484836366327 " " Order of pole (three term test) = 22.400057571309585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.379999999999951 " " y[1] (analytic) = 1.9467634442660657 " " y[1] (numeric) = 1.9467634442660666 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.56233356094772200000000000000E-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 = 0.24276059502193362 " " Order of pole (three term test) = 22.380546352008878 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.389999999999950 " " y[1] (analytic) = 1.9498083092205392 " " y[1] (numeric) = 1.94980830922054 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.55520891720471700000000000000E-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 = 0.24017797651433376 " " Order of pole (three term test) = 22.36122623306287 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.399999999999950 " " y[1] (analytic) = 1.9527732535153994 " " y[1] (numeric) = 1.9527732535154005 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.68536578748466200000000000000E-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 = 0.2372111244795467 " " Order of pole (three term test) = 22.342128122540473 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.40999999999995 " " y[1] (analytic) = 1.955657091212461 " " y[1] (numeric) = 1.9556570912124622 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.81237848668149400000000000000E-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 = 0.23386478524793336 " " Order of pole (three term test) = 22.32328257334447 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.41999999999995 " " y[1] (analytic) = 1.9584586688150956 " " y[1] (numeric) = 1.958458668815097 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.8026333706405710000000000000E-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 = 0.23014431224841705 " " Order of pole (three term test) = 22.304719734333418 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.42999999999995 " " y[1] (analytic) = 1.9611768657296158 " " y[1] (numeric) = 1.9611768657296174 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 7.92540571753567500000000000000E-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 = 0.22605565744413772 " " Order of pole (three term test) = 22.28646930208985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.43999999999995 " " y[1] (analytic) = 1.9638105947134983 " " y[1] (numeric) = 1.9638105947134998 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 7.91477670331022300000000000000E-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 = 0.22160536181058313 " " Order of pole (three term test) = 22.26856047341216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4499999999999496 " " y[1] (analytic) = 1.9663588023102654 " " y[1] (numeric) = 1.966358802310267 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 7.9045199312000700000000000000E-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 = 0.21680054487142053 " " Order of pole (three term test) = 22.251021898605877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.459999999999950 " " y[1] (analytic) = 1.968820469270854 " " y[1] (numeric) = 1.9688204692708555 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 7.89463670626531800000000000000E-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 = 0.21164889330878012 " " Order of pole (three term test) = 22.233881635649333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999950 " " y[1] (analytic) = 1.9711946109613014 " " y[1] (numeric) = 1.971194610961303 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 7.88512826603772300000000000000E-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 = 0.20615864866620143 " " Order of pole (three term test) = 22.217167105306853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.479999999999949 " " y[1] (analytic) = 1.9734802777565865 " " y[1] (numeric) = 1.9734802777565883 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.00113803731333900000000000000E-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 = 0.2003385941639231 " " Order of pole (three term test) = 22.200905047261426 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.489999999999949 " " y[1] (analytic) = 1.9756765554204663 " " y[1] (numeric) = 1.9756765554204683 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01150233262750790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19419804064760324 " " Order of pole (three term test) = 22.18512147733685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4999999999999485 " " y[1] (analytic) = 1.9777825654711587 " " y[1] (numeric) = 1.9777825654711605 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.98155778300673100000000000000E-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 = 0.18774681169295312 " " Order of pole (three term test) = 22.169841645878037 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999948 " " y[1] (analytic) = 1.9797974655327228 " " y[1] (numeric) = 1.9797974655327246 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.97241697863407100000000000000E-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 = 0.1809952278901112 " " Order of pole (three term test) = 22.15508999735579 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.519999999999948 " " y[1] (analytic) = 1.9817204496719993 " " y[1] (numeric) = 1.9817204496720011 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.96371049556591500000000000000E-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 = 0.1739540903329013 " " Order of pole (three term test) = 22.140890131260903 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999948 " " y[1] (analytic) = 1.9835507487209718 " " y[1] (numeric) = 1.9835507487209736 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.95543933295216400000000000000E-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 = 0.16663466333938548 " " Order of pole (three term test) = 22.12726476434998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.539999999999948 " " y[1] (analytic) = 1.9852876305844243 " " y[1] (numeric) = 1.9852876305844263 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.00660549813479520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.159048656431359 " " Order of pole (three term test) = 22.114235694303478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.549999999999947 " " y[1] (analytic) = 1.9869304005327697 " " y[1] (numeric) = 1.9869304005327717 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.00577324892177220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1512082056016127 " " Order of pole (three term test) = 22.101823764854096 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.559999999999947 " " y[1] (analytic) = 1.9884784014799317 " " y[1] (numeric) = 1.988478401479934 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11665585484747460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1431258538989342 " " Order of pole (three term test) = 22.090048832441227 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.569999999999947 " " y[1] (analytic) = 1.9899310142461715 " " y[1] (numeric) = 1.9899310142461737 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11584071676548320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13481453136190438 " " Order of pole (three term test) = 22.078929734444856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999947 " " y[1] (analytic) = 1.9912876578057503 " " y[1] (numeric) = 1.9912876578057526 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11508050609678260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12628753433359505 " " Order of pole (three term test) = 22.068484259049843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999947 " " y[1] (analytic) = 1.9925477895193329 " " y[1] (numeric) = 1.992547789519335 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11437530428615570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1175585041902558 " " Order of pole (three term test) = 22.058729116788566 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.599999999999946 " " y[1] (analytic) = 1.993710905351035 " " y[1] (numeric) = 1.9937109053510371 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11372518617956620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10864140551802216 " " Order of pole (three term test) = 22.049679913807662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.609999999999946 " " y[1] (analytic) = 1.9947765400700321 " " y[1] (numeric) = 1.9947765400700344 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11313022017611980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.95505037725568300E-2 " " Order of pole (three term test) = 22.041351126901507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999946 " " y[1] (analytic) = 1.9957442674366448 " " y[1] (numeric) = 1.9957442674366472 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22384951520492420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.03003424573636100E-2 " " Order of pole (three term test) = 22.033756080352425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.629999999999946 " " y[1] (analytic) = 1.9966137003728295 " " y[1] (numeric) = 1.996613700372832 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22331658533608990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.09057198572843200E-2 " " Order of pole (three term test) = 22.026906924614725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.6399999999999455 " " y[1] (analytic) = 1.997384491117004 " " y[1] (numeric) = 1.9973844911170062 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11167682493046970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.13816653643997400E-2 " " Order of pole (three term test) = 22.020814616876503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999945 " " y[1] (analytic) = 1.9980563313631474 " " y[1] (numeric) = 1.9980563313631496 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11130302704500990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.17434154342085600E-2 " " Order of pole (three term test) = 22.015488903530507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.659999999999945 " " y[1] (analytic) = 1.9986289523841194 " " y[1] (numeric) = 1.9986289523841216 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11098463103999030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.20063892105488600E-2 " " Order of pole (three term test) = 22.010938304582005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999945 " " y[1] (analytic) = 1.999102125139146 " " y[1] (numeric) = 1.9991021251391483 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11072166915722750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.21861638582569200E-2 " " Order of pole (three term test) = 22.007170100018577 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.679999999999945 " " y[1] (analytic) = 1.9994756603654347 " " y[1] (numeric) = 1.999475660365437 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11051416792165030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.229844964302674000E-2 " " Order of pole (three term test) = 22.004190318163687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.689999999999944 " " y[1] (analytic) = 1.9997494086538747 " " y[1] (numeric) = 1.999749408653877 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.11036214819785830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.235906479833619200E-2 " " Order of pole (three term test) = 22.00200372603264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.699999999999944 " " y[1] (analytic) = 1.9999232605088009 " " y[1] (numeric) = 1.9999232605088033 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22129218775821930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.238391021964774500E-2 " " Order of pole (three term test) = 22.0006138217064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999944 " " y[1] (analytic) = 1.9999971463917894 " " y[1] (numeric) = 1.9999971463917918 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22124706956800470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.3889440263677994000E-3 " " Order of pole (three term test) = 22.000022828735396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.719999999999944 " " y[1] (analytic) = 1.999971036749472 " " y[1] (numeric) = 1.9999710367494745 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22126301296097470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.609843967740116000E-3 " " Order of pole (three term test) = 22.000231692582304 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999944 " " y[1] (analytic) = 1.9998449420253575 " " y[1] (numeric) = 1.9998449420253601 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.3323709269188880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.759645783484645200E-2 " " Order of pole (three term test) = 22.001240079109532 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.739999999999943 " " y[1] (analytic) = 1.9996189126556543 " " y[1] (numeric) = 1.999618912655657 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33252153309635330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.755492112312784600E-2 " " Order of pole (three term test) = 22.003046375113737 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.749999999999943 " " y[1] (analytic) = 1.9992930390490968 " " y[1] (numeric) = 1.9992930390490993 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22167716611319820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.7469302415681904E-2 " " Order of pole (three term test) = 22.00564769090665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.759999999999943 " " y[1] (analytic) = 1.9988674515507825 " " y[1] (numeric) = 1.998867451550785 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.2219372786726729000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.73237408173956900E-2 " " Order of pole (three term test) = 22.0090398649379 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999943 " " y[1] (analytic) = 1.9983423203900361 " " y[1] (numeric) = 1.9983423203900388 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.3333727819867780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.710247132899468000E-2 " " Order of pole (three term test) = 22.01321747045268 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.7799999999999425 " " y[1] (analytic) = 1.9977178556123207 " " y[1] (numeric) = 1.9977178556123234 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33378957975207570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.67898500676781400E-2 " " Order of pole (three term test) = 22.018173824173335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.789999999999942 " " y[1] (analytic) = 1.996994306995221 " " y[1] (numeric) = 1.9969943069952236 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33427283681623040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.63703792939947200E-2 " " Order of pole (three term test) = 22.02390099699121 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.799999999999942 " " y[1] (analytic) = 1.9961719639485367 " " y[1] (numeric) = 1.9961719639485394 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33482250388377350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.58287322049195600E-2 " " Order of pole (three term test) = 22.030389826651525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.809999999999942 " " y[1] (analytic) = 1.9952511553985222 " " y[1] (numeric) = 1.9952511553985248 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33543852456417870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.51497774534696400E-2 " " Order of pole (three term test) = 22.037629932411036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.819999999999942 " " y[1] (analytic) = 1.99423224965632 " " y[1] (numeric) = 1.9942322496563227 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33612083525355360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1043186033556309 " " Order of pole (three term test) = 22.04560973164501 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.8299999999999415 " " y[1] (analytic) = 1.9931156542706419 " " y[1] (numeric) = 1.9931156542706445 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33686936500201860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11332054174587154 " " Order of pole (three term test) = 22.054316458376924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.839999999999941 " " y[1] (analytic) = 1.9919018158647543 " " y[1] (numeric) = 1.991901815864757 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.3376840353667770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12214119144307833 " " Order of pole (three term test) = 22.063736183701348 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.849999999999941 " " y[1] (analytic) = 1.9905912199578355 " " y[1] (numeric) = 1.9905912199578382 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33856476025088430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13076644128937415 " " Order of pole (three term test) = 22.07385383806721 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.859999999999940 " " y[1] (analytic) = 1.9891843907707736 " " y[1] (numeric) = 1.9891843907707762 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.33951144572772130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13918249272495997 " " Order of pole (three term test) = 22.084653235385822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.869999999999940 " " y[1] (analytic) = 1.9876818910164862 " " y[1] (numeric) = 1.9876818910164888 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.34052398985118860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1473758818628674 " " Order of pole (three term test) = 22.096117098925234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.87999999999994 " " y[1] (analytic) = 1.9860843216748418 " " y[1] (numeric) = 1.9860843216748443 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.22980209224733250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15533350102830581 " " Order of pole (three term test) = 22.10822708894928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.88999999999994 " " y[1] (analytic) = 1.9843923217522763 " " y[1] (numeric) = 1.9843923217522788 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.23085068784107870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16304261972814496 " " Order of pole (three term test) = 22.12096383205724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.89999999999994 " " y[1] (analytic) = 1.9826065680261993 " " y[1] (numeric) = 1.9826065680262017 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.23195932746605730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17049090501698974 " " Order of pole (three term test) = 22.13430695217717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.90999999999994 " " y[1] (analytic) = 1.9807277747742915 " " y[1] (numeric) = 1.9807277747742937 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.12102535115070910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17766644122726058 " " Order of pole (three term test) = 22.14823510316326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9199999999999395 " " y[1] (analytic) = 1.9787566934888032 " " y[1] (numeric) = 1.9787566934888055 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.12214202815171820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18455774903172065 " " Order of pole (three term test) = 22.162726002945114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.929999999999940 " " y[1] (analytic) = 1.9766941125759678 " " y[1] (numeric) = 1.97669411257597 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.12331292693369490000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19115380380794994 " " Order of pole (three term test) = 22.177756469174312 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999939 " " y[1] (analytic) = 1.9745408570406502 " " y[1] (numeric) = 1.9745408570406522 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01208411930274910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1974440532753897 " " Order of pole (three term test) = 22.1933024563112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999939 " " y[1] (analytic) = 1.9722977881563541 " " y[1] (numeric) = 1.9722977881563564 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.12581683282518950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20341843437674068 " " Order of pole (three term test) = 22.209339094092684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.959999999999939 " " y[1] (analytic) = 1.9699658031207268 " " y[1] (numeric) = 1.969965803120729 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.12714954022693580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2090673893767072 " " Order of pole (three term test) = 22.225840727319262 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9699999999999385 " " y[1] (analytic) = 1.9675458346966894 " " y[1] (numeric) = 1.9675458346966914 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01568228250873180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21438188115233514 " " Order of pole (three term test) = 22.242780956897935 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.979999999999938 " " y[1] (analytic) = 1.9650388508393457 " " y[1] (numeric) = 1.9650388508393477 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01697808339600280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2193534076504819 " " Order of pole (three term test) = 22.2601326820751 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.989999999999938 " " y[1] (analytic) = 1.9624458543088128 " " y[1] (numeric) = 1.9624458543088148 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01832182525572550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22397401548928558 " " Order of pole (three term test) = 22.277868143791977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.999999999999938 " " y[1] (analytic) = 1.95976788226913 " " y[1] (numeric) = 1.959767882269132 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.01971333564841350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2282363126818816 " " Order of pole (three term test) = 22.295958969093192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.009999999999938 " " y[1] (analytic) = 1.9570060058734073 " " y[1] (numeric) = 1.9570060058734093 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.02115243301637180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23213348046200322 " " Order of pole (three term test) = 22.314376216517424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.019999999999937 " " y[1] (analytic) = 1.9541613298353786 " " y[1] (numeric) = 1.9541613298353806 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.02263892638466550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23565928419255355 " " Order of pole (three term test) = 22.333090422397593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.029999999999937 " " y[1] (analytic) = 1.9512349919875305 " " y[1] (numeric) = 1.9512349919875325 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.02417261505222790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23880808333969555 " " Order of pole (three term test) = 22.352071647996453 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.039999999999937 " " y[1] (analytic) = 1.9482281628259848 " " y[1] (numeric) = 1.9482281628259868 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.02575328827323720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24157484049650124 " " Order of pole (three term test) = 22.37128952740216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.049999999999937 " " y[1] (analytic) = 1.9451420450423156 " " y[1] (numeric) = 1.9451420450423176 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.02738072492891270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2439551294417302 " " Order of pole (three term test) = 22.39071331610725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.0599999999999365 " " y[1] (analytic) = 1.9419778730424888 " " y[1] (numeric) = 1.9419778730424906 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.14715282835452600000000000000E-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 = 0.24594514222083758 " " Order of pole (three term test) = 22.41031194019331 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.069999999999936 " " y[1] (analytic) = 1.9387369124531157 " " y[1] (numeric) = 1.9387369124531175 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.16244400150506600000000000000E-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 = 0.2475416952378905 " " Order of pole (three term test) = 22.430054046042635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.079999999999936 " " y[1] (analytic) = 1.9354204596152202 " " y[1] (numeric) = 1.9354204596152218 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.03087632329892300000000000000E-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 = 0.24874223434864137 " " Order of pole (three term test) = 22.449908050497285 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.089999999999936 " " y[1] (analytic) = 1.9320298410657184 " " y[1] (numeric) = 1.93202984106572 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.04497012125781600000000000000E-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 = 0.24954483894661442 " " Order of pole (three term test) = 22.469842191385432 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.099999999999936 " " y[1] (analytic) = 1.9285664130068225 " " y[1] (numeric) = 1.9285664130068239 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.90807234101444800000000000000E-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 = 0.249948225035666 " " Order of pole (three term test) = 22.48982457833403 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.1099999999999355 " " y[1] (analytic) = 1.9250315607635775 " " y[1] (numeric) = 1.9250315607635788 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.92075733564458700000000000000E-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 = 0.2499517472841047 " " Order of pole (three term test) = 22.50982324378666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.119999999999935 " " y[1] (analytic) = 1.9214266982297503 " " y[1] (numeric) = 1.9214266982297514 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.77811802890023200000000000000E-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 = 0.24955540005708465 " " Order of pole (three term test) = 22.52980619414474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.129999999999935 " " y[1] (analytic) = 1.91775326730229 " " y[1] (numeric) = 1.917753267302291 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.78918593728645300000000000000E-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 = 0.24875981742561912 " " Order of pole (three term test) = 22.549741460950504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.139999999999935 " " y[1] (analytic) = 1.914012737304589 " " y[1] (numeric) = 1.91401273730459 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.80049966746109400000000000000E-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 = 0.24756627215220345 " " Order of pole (three term test) = 22.56959715202969 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.149999999999935 " " y[1] (analytic) = 1.9102066043987735 " " y[1] (numeric) = 1.9102066043987747 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.8120573034799690000000000000E-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 = 0.2459766736546658 " " Order of pole (three term test) = 22.589341502512244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.159999999999934 " " y[1] (analytic) = 1.9063363909872582 " " y[1] (numeric) = 1.9063363909872593 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.82385684852919100000000000000E-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 = 0.2439935649515057 " " Order of pole (three term test) = 22.608942925649266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.169999999999934 " " y[1] (analytic) = 1.9024036451038056 " " y[1] (numeric) = 1.9024036451038064 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.66871697805047800000000000000E-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 = 0.2416201185936077 " " Order of pole (three term test) = 22.628370063345173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.179999999999934 " " y[1] (analytic) = 1.8984099397943326 " " y[1] (numeric) = 1.8984099397943335 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67853860792757700000000000000E-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 = 0.23886013158883632 " " Order of pole (three term test) = 22.647591836323883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.189999999999934 " " y[1] (analytic) = 1.894356872487715 " " y[1] (numeric) = 1.8943568724877158 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.688548565475670300000000000000E-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 = 0.23571801932763314 " " Order of pole (three term test) = 22.666577493849047 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.199999999999934 " " y[1] (analytic) = 1.8902460643568348 " " y[1] (numeric) = 1.8902460643568355 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.524058731484513000000000000000E-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 = 0.23219880851933478 " " Order of pole (three term test) = 22.685296662918695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.209999999999933 " " y[1] (analytic) = 1.8860791596701345 " " y[1] (numeric) = 1.8860791596701352 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.53184441575398860000000000000E-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 = 0.2283081291505095 " " Order of pole (three term test) = 22.70371939685552 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.219999999999933 " " y[1] (analytic) = 1.8818578251339306 " " y[1] (numeric) = 1.8818578251339313 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.53976695730287450000000000000E-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 = 0.22405220547818006 " " Order of pole (three term test) = 22.721816223215193 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.229999999999933 " " y[1] (analytic) = 1.8775837492257543 " " y[1] (numeric) = 1.8775837492257548 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.36521651848120500000000000000E-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 = 0.21943784607234013 " " Order of pole (three term test) = 22.739558190935995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.239999999999933 " " y[1] (analytic) = 1.8732586415189816 " " y[1] (numeric) = 1.873258641518982 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.370677492190619600000000000000E-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 = 0.21447243292369508 " " Order of pole (three term test) = 22.75691691665433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.2499999999999325 " " y[1] (analytic) = 1.8688842319990278 " " y[1] (numeric) = 1.8688842319990282 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.376226425619998600000000000000E-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 = 0.20916390963405115 " " Order of pole (three term test) = 22.77386463011202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.259999999999932 " " y[1] (analytic) = 1.8644622703713765 " " y[1] (numeric) = 1.8644622703713767 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.190931071406464800000000000000E-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 = 0.20352076870824667 " " Order of pole (three term test) = 22.790374218582873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.269999999999932 " " y[1] (analytic) = 1.8599945253617198 " " y[1] (numeric) = 1.85999452536172 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.193791712273182500000000000000E-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 = 0.19755203796795776 " " Order of pole (three term test) = 22.8064192702472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.279999999999932 " " y[1] (analytic) = 1.8554827840084926 " " y[1] (numeric) = 1.8554827840084926 " " 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 = 0.19126726610910713 " " Order of pole (three term test) = 22.821974116445084 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.289999999999932 " " y[1] (analytic) = 1.8509288509480804 " " y[1] (numeric) = 1.8509288509480804 " " 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 = 0.1846765074259893 " " Order of pole (three term test) = 22.8370138727408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.299999999999931 " " y[1] (analytic) = 1.8463345476929889 " " y[1] (numeric) = 1.8463345476929889 " " 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 = 0.17779030572654367 " " Order of pole (three term test) = 22.851514478732597 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.309999999999931 " " y[1] (analytic) = 1.841701711903264 " " y[1] (numeric) = 1.8417017119032637 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.205649120538441900000000000000E-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 = 0.17061967746451132 " " Order of pole (three term test) = 22.865452736544174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.319999999999931 " " y[1] (analytic) = 1.8370321966514507 " " y[1] (numeric) = 1.8370321966514505 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.208713735827684600000000000000E-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 = 0.16317609411545894 " " Order of pole (three term test) = 22.878806347936365 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.329999999999930 " " y[1] (analytic) = 1.8323278696813907 " " y[1] (numeric) = 1.8323278696813905 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.211816993012505400000000000000E-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 = 0.15547146382486568 " " Order of pole (three term test) = 22.89155394997958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.339999999999930 " " y[1] (analytic) = 1.8275906126611485 " " y[1] (numeric) = 1.827590612661148 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.42991623382999200000000000000E-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 = 0.14751811235762946 " " Order of pole (three term test) = 22.903675149229883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.34999999999993 " " y[1] (analytic) = 1.8228223204303695 " " y[1] (numeric) = 1.822822320430369 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.436272613477834200000000000000E-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 = 0.1393287633794727 " " Order of pole (three term test) = 22.915150554354188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.35999999999993 " " y[1] (analytic) = 1.8180249002423696 " " y[1] (numeric) = 1.8180249002423692 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.44270147120019600000000000000E-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 = 0.1309165181017936 " " Order of pole (three term test) = 22.925961807152255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.36999999999993 " " y[1] (analytic) = 1.8132002710012596 " " y[1] (numeric) = 1.813200271001259 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.67380165020188830000000000000E-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 = 0.12229483432251913 " " Order of pole (three term test) = 22.93609161192588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.37999999999993 " " y[1] (analytic) = 1.808350362494408 " " y[1] (numeric) = 1.8083503624944073 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.68365460914465800000000000000E-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 = 0.11347750489650223 " " Order of pole (three term test) = 22.94552376314834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.3899999999999295 " " y[1] (analytic) = 1.803477114620553 " " y[1] (numeric) = 1.8034771146205522 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.924811146755226400000000000000E-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 = 0.10447863566989388 " " Order of pole (three term test) = 22.954243171389756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.399999999999930 " " y[1] (analytic) = 1.7985824766138685 " " y[1] (numeric) = 1.7985824766138676 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.938213461148966400000000000000E-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 = 9.53126229138007200E-2 " " Order of pole (three term test) = 22.962235887457002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.409999999999929 " " y[1] (analytic) = 1.7936684062642962 " " y[1] (numeric) = 1.7936684062642951 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.18967820778778700000000000000E-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 = 8.59941302933208300E-2 " " Order of pole (three term test) = 22.96948912470938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.419999999999929 " " y[1] (analytic) = 1.7887368691344558 " " y[1] (numeric) = 1.7887368691344547 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.20674311455534300000000000000E-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 = 7.65380654088073400E-2 " " Order of pole (three term test) = 22.975991279514563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.429999999999929 " " y[1] (analytic) = 1.7837898377734465 " " y[1] (numeric) = 1.7837898377734451 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.46874772654352900000000000000E-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 = 6.69595559468896200E-2 " " Order of pole (three term test) = 22.981731949811913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.4399999999999284 " " y[1] (analytic) = 1.778829290927853 " " y[1] (numeric) = 1.7788292909278514 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.73783809611363300000000000000E-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 = 5.727392547940051000E-2 " " Order of pole (three term test) = 22.986701951753556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.449999999999928 " " y[1] (analytic) = 1.7738572127502734 " " y[1] (numeric) = 1.7738572127502719 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.76233004157836800000000000000E-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 = 4.74966689489301260E-2 " " Order of pole (three term test) = 22.99089333439661 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.459999999999928 " " y[1] (analytic) = 1.768875592005686 " " y[1] (numeric) = 1.7688755920056842 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.00422938019404840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.764342788022362000E-2 " " Order of pole (three term test) = 22.99429939242296 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.469999999999928 " " y[1] (analytic) = 1.7638864212759673 " " y[1] (numeric) = 1.7638864212759655 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.00706985323650380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.772996535707860000E-2 " " Order of pole (three term test) = 22.99691467686635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.479999999999928 " " y[1] (analytic) = 1.7588916961628882 " " y[1] (numeric) = 1.7588916961628862 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.13617083342021350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.777214080477245700E-2 " " Order of pole (three term test) = 22.99873500382955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.489999999999927 " " y[1] (analytic) = 1.753893414489898 " " y[1] (numeric) = 1.753893414489896 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.13940871652482720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.785884618366920000E-3 " " Order of pole (three term test) = 22.99975746117776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.499999999999927 " " y[1] (analytic) = 1.7488935755030237 " " y[1] (numeric) = 1.7488935755030215 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.26962902737615650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.2128273225280795000E-3 " " Order of pole (three term test) = 22.999980413197317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.509999999999927 " " y[1] (analytic) = 1.743894179071196 " " y[1] (numeric) = 1.7438941790711937 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.27326880030813020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.220799921175199400E-2 " " Order of pole (three term test) = 22.999403503212573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.519999999999927 " " y[1] (analytic) = 1.7388972248863297 " " y[1] (numeric) = 1.7388972248863275 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.2769277088215850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.218364090647096400E-2 " " Order of pole (three term test) = 22.998027654156402 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5299999999999265 " " y[1] (analytic) = 1.7339047116634743 " " y[1] (numeric) = 1.7339047116634716 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.53672531205251340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.21237935079973300E-2 " " Order of pole (three term test) = 22.995855067093824 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.539999999999926 " " y[1] (analytic) = 1.7289186363413522 " " y[1] (numeric) = 1.7289186363413493 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.6695868754898940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.201255489262114600E-2 " " Order of pole (three term test) = 22.992889217700668 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.549999999999926 " " y[1] (analytic) = 1.7239409932836125 " " y[1] (numeric) = 1.7239409932836096 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.6744075784910140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.183410515161758000E-2 " " Order of pole (three term test) = 22.989134850703284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.559999999999926 " " y[1] (analytic) = 1.7189737734811106 " " y[1] (numeric) = 1.7189737734811077 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.67924601791903200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.15727318997238500E-2 " " Order of pole (three term test) = 22.984597972287975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.569999999999926 " " y[1] (analytic) = 1.7140189637555387 " " y[1] (numeric) = 1.7140189637555356 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.81364648506526340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.12128554116062800E-2 " " Order of pole (three term test) = 22.97928584049239 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5799999999999255 " " y[1] (analytic) = 1.709078545964724 " " y[1] (numeric) = 1.7090785459647206 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.9488098319058860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.07390535460958400E-2 " " Order of pole (three term test) = 22.97320695359422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.589999999999925 " " y[1] (analytic) = 1.7041544962099109 " " y[1] (numeric) = 1.7041544962099078 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.82414474501232660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.01360864183243100E-2 " " Order of pole (three term test) = 22.96637103651572 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.599999999999925 " " y[1] (analytic) = 1.699248784045349 " " y[1] (numeric) = 1.6992487840453456 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.96008324687233170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.93889207802896700E-2 " " Order of pole (three term test) = 22.95878902526599 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.609999999999925 " " y[1] (analytic) = 1.694363371690495 " " y[1] (numeric) = 1.6943633716904916 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.96573481788171880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10848275407084577 " " Order of pole (three term test) = 22.950473049445602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.619999999999925 " " y[1] (analytic) = 1.6895002132451529 " " y[1] (numeric) = 1.6895002132451493 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.10281931363390050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11740303809664172 " " Order of pole (three term test) = 22.941436412841888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.629999999999924 " " y[1] (analytic) = 1.6846612539078596 " " y[1] (numeric) = 1.684661253907856 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.10885937487989000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1261355023061287 " " Order of pole (three term test) = 22.93169357214571 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.639999999999924 " " y[1] (analytic) = 1.6798484291978317 " " y[1] (numeric) = 1.679848429197828 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.247082664194930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.134666176619398 " " Order of pole (three term test) = 22.92126011382382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.649999999999924 " " y[1] (analytic) = 1.6750636641807826 " " y[1] (numeric) = 1.675063664180779 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.12094247805083540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14298141377732831 " " Order of pole (three term test) = 22.910152729183828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.659999999999924 " " y[1] (analytic) = 1.6703088726989237 " " y[1] (numeric) = 1.67030887269892 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.2599163217197010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15106791117428991 " " Order of pole (three term test) = 22.898389187671743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.6699999999999235 " " y[1] (analytic) = 1.665585956605451 " " y[1] (numeric) = 1.665585956605447 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.39963772076720180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1589127321394751 " " Order of pole (three term test) = 22.885988308444535 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.679999999999923 " " y[1] (analytic) = 1.6608968050038302 " " y[1] (numeric) = 1.6608968050038262 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.4064125336440430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16650332663281153 " " Order of pole (three term test) = 22.87296993026359 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.689999999999923 " " y[1] (analytic) = 1.6562432934921814 " " y[1] (numeric) = 1.6562432934921771 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.5472389896777630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1738275513223509 " " Order of pole (three term test) = 22.859354879756907 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.699999999999923 " " y[1] (analytic) = 1.6516272834130628 " " y[1] (numeric) = 1.6516272834130585 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.5543580782084263000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18087368901100798 " " Order of pole (three term test) = 22.845164938100897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.709999999999923 " " y[1] (analytic) = 1.6470506211089604 " " y[1] (numeric) = 1.647050621108956 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.69626934447865950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18763046738157646 " " Order of pole (three term test) = 22.83042280617519 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.7199999999999225 " " y[1] (analytic) = 1.6425151371837743 " " y[1] (numeric) = 1.6425151371837696 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.83890029252372100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19408707703003264 " " Order of pole (three term test) = 22.815152068246032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.729999999999922 " " y[1] (analytic) = 1.6380226457706022 " " y[1] (numeric) = 1.6380226457705975 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.8466863479973410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2002331887582757 " " Order of pole (three term test) = 22.799377154236545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.739999999999922 " " y[1] (analytic) = 1.6335749438061105 " " y[1] (numeric) = 1.6335749438061056 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.9903625339459716000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20605897009864094 " " Order of pole (three term test) = 22.783123300643993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.749999999999922 " " y[1] (analytic) = 1.6291738103117828 " " y[1] (numeric) = 1.6291738103117779 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.99844085230895450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21155510104375108 " " Order of pole (three term test) = 22.766416510166827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.759999999999922 " " y[1] (analytic) = 1.624821005682336 " " y[1] (numeric) = 1.6248210056823311 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.0064735077075540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.216712788956539 " " Order of pole (three term test) = 22.74928351010589 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.769999999999921 " " y[1] (analytic) = 1.6205182709815853 " " y[1] (numeric) = 1.6205182709815804 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.0144561748086574000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22152378263659253 " " Order of pole (three term test) = 22.731751709606428 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.779999999999921 " " y[1] (analytic) = 1.6162673272460422 " " y[1] (numeric) = 1.616267327246037 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.15976560757284000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22598038552031405 " " Order of pole (three term test) = 22.713849155809324 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.789999999999921 " " y[1] (analytic) = 1.6120698747965219 " " y[1] (numeric) = 1.6120698747965168 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.1679928972807940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23007546799378112 " " Order of pole (three term test) = 22.695604488981648 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.799999999999920 " " y[1] (analytic) = 1.6079275925580392 " " y[1] (numeric) = 1.607927592558034 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.1761541607423960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23380247879860674 " " Order of pole (three term test) = 22.67704689669833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.809999999999920 " " y[1] (analytic) = 1.6038421373882596 " " y[1] (numeric) = 1.6038421373882545 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.1842447546565533000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2371554555125567 " " Order of pole (three term test) = 22.65820606714829 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.81999999999992 " " y[1] (analytic) = 1.5998151434147796 " " y[1] (numeric) = 1.5998151434147743 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.3310539284094637000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2401290340881524 " " Order of pole (three term test) = 22.63911214163963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.82999999999992 " " y[1] (analytic) = 1.5958482213814953 " " y[1] (numeric) = 1.59584822138149 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.339334184041310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24271845743400208 " " Order of pole (three term test) = 22.619795666380025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.83999999999992 " " y[1] (analytic) = 1.5919429580043287 " " y[1] (numeric) = 1.5919429580043234 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.34752604759237900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24491958302513353 " " Order of pole (three term test) = 22.60028754360925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.84999999999992 " " y[1] (analytic) = 1.5881009153365615 " " y[1] (numeric) = 1.588100915336556 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.4954423044012610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2467288895301493 " " Order of pole (three term test) = 22.58061898216225 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.8599999999999195 " " y[1] (analytic) = 1.5843236301440338 " " y[1] (numeric) = 1.5843236301440282 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.50377600731810100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2481434824446061 " " Order of pole (three term test) = 22.560821447541585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.869999999999920 " " y[1] (analytic) = 1.5806126132904599 " " y[1] (numeric) = 1.580612613290454 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.6524823853154426000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24916109872160452 " " Order of pole (three term test) = 22.5409266115794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.879999999999919 " " y[1] (analytic) = 1.5769693491331012 " " y[1] (numeric) = 1.5769693491330954 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.66092069654014640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24978011039218137 " " Order of pole (three term test) = 22.520966301769235 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.889999999999919 " " y[1] (analytic) = 1.5733952949290448 " " y[1] (numeric) = 1.5733952949290388 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.81036116753241600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999952716971247 " " Order of pole (three term test) = 22.50097245034882 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.899999999999919 " " y[1] (analytic) = 1.5698918802523187 " " y[1] (numeric) = 1.5698918802523127 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.81886447620346570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24981899803416005 " " Order of pole (three term test) = 22.480977043215283 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.909999999999918 " " y[1] (analytic) = 1.566460506422082 " " y[1] (numeric) = 1.566460506422076 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.82722980145178300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24923881179363025 " " Order of pole (three term test) = 22.46101206875458 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.919999999999918 " " y[1] (analytic) = 1.5631025459421162 " " y[1] (numeric) = 1.56310254594211 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.9775054771941430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24825989662234152 " " Order of pole (three term test) = 22.441109466666898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.929999999999918 " " y[1] (analytic) = 1.5598193419518402 " " y[1] (numeric) = 1.5598193419518342 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.84352480555466060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2468838185757438 " " Order of pole (three term test) = 22.421301076869906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.939999999999918 " " y[1] (analytic) = 1.5566122076890756 " " y[1] (numeric) = 1.5566122076890694 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 3.99408979782505700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24511277908516402 " " Order of pole (three term test) = 22.401618588561714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.949999999999918 " " y[1] (analytic) = 1.5534824259647657 " " y[1] (numeric) = 1.5534824259647595 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.0021366408697880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24294961143598523 " " Order of pole (three term test) = 22.382093489524895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.959999999999917 " " y[1] (analytic) = 1.5504312486498706 " " y[1] (numeric) = 1.5504312486498641 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.15322739943051500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2403977762349954 " " Order of pole (three term test) = 22.36275701575281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.969999999999917 " " y[1] (analytic) = 1.5474598961746342 " " y[1] (numeric) = 1.5474598961746278 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.16120221192421760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23746135587415332 " " Order of pole (three term test) = 22.343640101478563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.979999999999917 " " y[1] (analytic) = 1.5445695570404294 " " y[1] (numeric) = 1.5445695570404228 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3127472747260530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2341450479996335 " " Order of pole (three term test) = 22.324773329686955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.989999999999917 " " y[1] (analytic) = 1.541761387344372 " " y[1] (numeric) = 1.5417613873443656 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.17658244374465500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23045415799659383 " " Order of pole (three term test) = 22.30618688318815 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.9999999999999165 " " y[1] (analytic) = 1.5390365103168995 " " y[1] (numeric) = 1.5390365103168928 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.32825219096285100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2263945905016914 " " Order of pole (three term test) = 22.287910496331648 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.009999999999916 " " y[1] (analytic) = 1.536396015872491 " " y[1] (numeric) = 1.5363960158724843 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3356908498412683000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22197283995692313 " " Order of pole (three term test) = 22.26997340743768 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.019999999999916 " " y[1] (analytic) = 1.5338409601737182 " " y[1] (numeric) = 1.5338409601737115 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.34291319681311400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21719598021990413 " " Order of pole (three term test) = 22.25240431202208 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.029999999999916 " " y[1] (analytic) = 1.531372365208794 " " y[1] (numeric) = 1.5313723652087872 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.4949111718739030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2120716532472045 " " Order of pole (three term test) = 22.235231316889642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.039999999999916 " " y[1] (analytic) = 1.52899121838279 " " y[1] (numeric) = 1.5289912183827832 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.50191124050830450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2066080568688494 " " Order of pole (three term test) = 22.218481895169226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.0499999999999154 " " y[1] (analytic) = 1.5266984721226882 " " y[1] (numeric) = 1.5266984721226815 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3632310304792277000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.200813931673539 " " Order of pole (three term test) = 22.202182842362532 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.059999999999915 " " y[1] (analytic) = 1.5244950434964237 " " y[1] (numeric) = 1.5244950434964168 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5151886731549860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19469854702557138 " " Order of pole (three term test) = 22.186360233477117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.069999999999915 " " y[1] (analytic) = 1.5223818138460676 " " y[1] (numeric) = 1.522381813846061 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.37560281341122700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18827168623583787 " " Order of pole (three term test) = 22.1710393813119 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.079999999999915 " " y[1] (analytic) = 1.5203596284353047 " " y[1] (numeric) = 1.5203596284352978 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5274700958483630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1815436309106114 " " Order of pole (three term test) = 22.156244795962056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.089999999999915 " " y[1] (analytic) = 1.5184292961113366 " " y[1] (numeric) = 1.5184292961113297 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5332257289187970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1745251445031705 " " Order of pole (three term test) = 22.14200014560814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.099999999999914 " " y[1] (analytic) = 1.516591588981356 " " y[1] (numeric) = 1.516591588981349 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.53871879725991970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16722745509456946 " " Order of pole (three term test) = 22.128328218652026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.109999999999914 " " y[1] (analytic) = 1.514847242103712 " " y[1] (numeric) = 1.5148472421037051 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5439451327889790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15966223743110503 " " Order of pole (three term test) = 22.115250887260316 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.119999999999914 " " y[1] (analytic) = 1.5131969531938982 " " y[1] (numeric) = 1.5131969531938914 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.548900748278170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15184159424721158 " " Order of pole (three term test) = 22.102789072373554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.129999999999914 " " y[1] (analytic) = 1.511641382345475 " " y[1] (numeric) = 1.5116413823454682 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5535818435955080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14377803690366847 " " Order of pole (three term test) = 22.090962710237182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1399999999999135 " " y[1] (analytic) = 1.5101811517660413 " " y[1] (numeric) = 1.5101811517660344 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5579848117071130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13548446537209155 " " Order of pole (three term test) = 22.0797907205078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.149999999999913 " " y[1] (analytic) = 1.508816845528359 " " y[1] (numeric) = 1.5088168455283522 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5621062444232857000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12697414759773054 " " Order of pole (three term test) = 22.06929097598574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.159999999999913 " " y[1] (analytic) = 1.507549009336733 " " y[1] (numeric) = 1.507549009336726 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5659429378713270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11826069827358654 " " Order of pole (three term test) = 22.05948027402241 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.169999999999913 " " y[1] (analytic) = 1.5063781503087352 " " y[1] (numeric) = 1.5063781503087283 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5694918976786850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10935805705980839 " " Order of pole (three term test) = 22.050374309648106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.179999999999913 " " y[1] (analytic) = 1.5053047367723662 " " y[1] (numeric) = 1.505304736772359 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7202584194588180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1002804662832091 " " Order of pole (three term test) = 22.041987650463344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1899999999999125 " " y[1] (analytic) = 1.504329198078728 " " y[1] (numeric) = 1.504329198078721 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5757157153282446000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.10424481525818500E-2 " " Order of pole (three term test) = 22.03433371333374 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.199999999999912 " " y[1] (analytic) = 1.5034519244302915 " " y[1] (numeric) = 1.5034519244302844 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7260755346689837000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.16587815262636700E-2 " " Order of pole (three term test) = 22.02742474292597 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.209999999999912 " " y[1] (analytic) = 1.5026732667248188 " " y[1] (numeric) = 1.5026732667248117 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7285245002646360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.21444782691144500E-2 " " Order of pole (three term test) = 22.021271792118842 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.219999999999912 " " y[1] (analytic) = 1.5019935364150103 " " y[1] (numeric) = 1.5019935364150034 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5828311412746636000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.25147592367358300E-2 " " Order of pole (three term test) = 22.015884704321078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.229999999999912 " " y[1] (analytic) = 1.5014130053839274 " " y[1] (numeric) = 1.5014130053839203 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7324935458275635000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.27850299253491500E-2 " " Order of pole (three term test) = 22.011272097723978 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.239999999999911 " " y[1] (analytic) = 1.5009319058362416 " " y[1] (numeric) = 1.5009319058362345 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7340104704098660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.29708558262877400E-2 " " Order of pole (three term test) = 22.007441351514128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.249999999999911 " " y[1] (analytic) = 1.5005504302053576 " " y[1] (numeric) = 1.5005504302053505 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7352139685359257000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.308793752453128600E-2 " " Order of pole (three term test) = 22.004398594068284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.259999999999911 " " y[1] (analytic) = 1.5002687310764418 " " y[1] (numeric) = 1.5002687310764347 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7361030796815070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.315208558111915300E-2 " " Order of pole (three term test) = 22.002148693149273 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.269999999999910 " " y[1] (analytic) = 1.5000869211253893 " " y[1] (numeric) = 1.5000869211253822 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7366770935316170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.317919523962539000E-2 " " Order of pole (three term test) = 22.0006952481186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.2799999999999105 " " y[1] (analytic) = 1.500005073073757 " " y[1] (numeric) = 1.5000050730737498 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.8849647871595780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.185220997159941000E-3 " " Order of pole (three term test) = 22.00004058417828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.28999999999991 " " y[1] (analytic) = 1.5000232196596737 " " y[1] (numeric) = 1.5000232196596666 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7368782459334774000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.8138489194233920000E-3 " " Order of pole (three term test) = 22.000185748650942 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.29999999999991 " " y[1] (analytic) = 1.5001413536247474 " " y[1] (numeric) = 1.50014135362474 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.8845210118505680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.680201813127923700E-2 " " Order of pole (three term test) = 22.001130509304417 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.30999999999991 " " y[1] (analytic) = 1.5003594277169667 " " y[1] (numeric) = 1.5003594277169596 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7358167825245906000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.676330769836441400E-2 " " Order of pole (three term test) = 22.0028733547232 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.31999999999991 " " y[1] (analytic) = 1.5006773547096028 " " y[1] (numeric) = 1.5006773547095957 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7348134729306810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.66817816823333360E-2 " " Order of pole (three term test) = 22.00541149672638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.3299999999999095 " " y[1] (analytic) = 1.5010950074360974 " " y[1] (numeric) = 1.5010950074360905 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5855743431143225000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.6541572640639900E-2 " " Order of pole (three term test) = 22.00874087482822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.339999999999910 " " y[1] (analytic) = 1.5016122188409287 " " y[1] (numeric) = 1.5016122188409218 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5839948998211716000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.632690701106081000E-2 " " Order of pole (three term test) = 22.012856162733975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.349999999999909 " " y[1] (analytic) = 1.5022287820464306 " " y[1] (numeric) = 1.5022287820464237 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5821134802776130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.60221303460300100E-2 " " Order of pole (three term test) = 22.01775077686088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.359999999999909 " " y[1] (analytic) = 1.5029444504355418 " " y[1] (numeric) = 1.502944450435535 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5799315807588364000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.5611732356415500E-2 " " Order of pole (three term test) = 22.023416886870454 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.369999999999909 " " y[1] (analytic) = 1.5037589377504488 " " y[1] (numeric) = 1.503758937750442 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5774509330419544000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.50803717246734000E-2 " " Order of pole (three term test) = 22.0298454281954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.379999999999908 " " y[1] (analytic) = 1.504671918207085 " " y[1] (numeric) = 1.5046719182070782 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.42710338855021650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.44129006476831400E-2 " " Order of pole (three term test) = 22.03702611654094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.389999999999908 " " y[1] (analytic) = 1.5056830266254408 " " y[1] (numeric) = 1.5056830266254342 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.42413046435173650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10359438907000111 " " Order of pole (three term test) = 22.04494746433752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.399999999999908 " " y[1] (analytic) = 1.5067918585756304 " " y[1] (numeric) = 1.5067918585756237 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.4208747942452380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1126101485687649 " " Order of pole (three term test) = 22.053596799118463 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.409999999999908 " " y[1] (analytic) = 1.5079979705396578 " " y[1] (numeric) = 1.5079979705396511 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.41733893406175360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12144575585203579 " " Order of pole (three term test) = 22.06296028379321 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.419999999999908 " " y[1] (analytic) = 1.5093008800888186 " " y[1] (numeric) = 1.509300880088812 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.41352564994127340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13008707583298956 " " Order of pole (three term test) = 22.073022938783726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.429999999999907 " " y[1] (analytic) = 1.510700066076665 " " y[1] (numeric) = 1.5107000660766583 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.40943791380816000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13852028424304005 " " Order of pole (three term test) = 22.0837686659886 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.439999999999907 " " y[1] (analytic) = 1.5121949688474574 " " y[1] (numeric) = 1.5121949688474507 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.40507889854175400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14673188974771964 " " Order of pole (three term test) = 22.095180274536613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.449999999999907 " " y[1] (analytic) = 1.5137849904600196 " " y[1] (numeric) = 1.513784990460013 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.4004519728568890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1547087555299365 " " Order of pole (three term test) = 22.107239508288423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.459999999999907 " " y[1] (analytic) = 1.515469494926906 " " y[1] (numeric) = 1.5154694949268994 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.395560695909770400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16243812030607999 " " Order of pole (three term test) = 22.11992707504255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.4699999999999065 " " y[1] (analytic) = 1.5172478084687904 " " y[1] (numeric) = 1.5172478084687835 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.53675577203350440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16990761874135107 " " Order of pole (three term test) = 22.133222677398702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.479999999999906 " " y[1] (analytic) = 1.5191192197839656 " " y[1] (numeric) = 1.519119219783959 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.38500024290275960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17710530123166174 " " Order of pole (three term test) = 22.147105045229363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.489999999999906 " " y[1] (analytic) = 1.521082980332858 " " y[1] (numeric) = 1.5210829803328514 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3793390852964780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18401965302045092 " " Order of pole (three term test) = 22.161551969707418 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.499999999999906 " " y[1] (analytic) = 1.5231383046374312 " " y[1] (numeric) = 1.5231383046374245 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.37342960089012360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19063961261983972 " " Order of pole (three term test) = 22.176540338835533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.509999999999906 " " y[1] (analytic) = 1.525284370595367 " " y[1] (numeric) = 1.5252843705953603 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3672762116816340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19695458950665193 " " Order of pole (three term test) = 22.192046174420472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.519999999999905 " " y[1] (analytic) = 1.5275203198088962 " " y[1] (numeric) = 1.5275203198088896 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.3608834929176720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20295448106499162 " " Order of pole (three term test) = 22.208044670433026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.529999999999905 " " y[1] (analytic) = 1.5298452579281456 " " y[1] (numeric) = 1.5298452579281392 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2091142940473470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2086296887482743 " " Order of pole (three term test) = 22.224510232692406 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.539999999999905 " " y[1] (analytic) = 1.5322582550088666 " " y[1] (numeric) = 1.5322582550088601 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2024857897004090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21397113343485286 " " Order of pole (three term test) = 22.24141651981145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.549999999999905 " " y[1] (analytic) = 1.5347583458843992 " " y[1] (numeric) = 1.534758345884393 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.05096278158253550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21897026995267646 " " Order of pole (three term test) = 22.25873648533728 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.559999999999905 " " y[1] (analytic) = 1.5373445305517277 " " y[1] (numeric) = 1.5373445305517215 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.0441480841445526000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2236191007497421 " " Order of pole (three term test) = 22.27644242101976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.569999999999904 " " y[1] (analytic) = 1.5400157745714669 " " y[1] (numeric) = 1.5400157745714609 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.89294995023288240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22791018868847204 " " Order of pole (three term test) = 22.294506001138863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.579999999999904 " " y[1] (analytic) = 1.5427710094816254 " " y[1] (numeric) = 1.5427710094816194 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.88599753050211100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23183666894354765 " " Order of pole (three term test) = 22.312898327819763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.589999999999904 " " y[1] (analytic) = 1.5456091332249748 " " y[1] (numeric) = 1.5456091332249688 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.87886187012017270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2353922599841653 " " Order of pole (three term test) = 22.33158997726326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.599999999999904 " " y[1] (analytic) = 1.548529010589859 " " y[1] (numeric) = 1.548529010589853 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.8715479606624730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2385712736231457 " " Order of pole (three term test) = 22.350551046817586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.6099999999999035 " " y[1] (analytic) = 1.551529473664263 " " y[1] (numeric) = 1.5515294736642573 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.7209475076334086000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24136862411681956 " " Order of pole (three term test) = 22.36975120281625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.619999999999903 " " y[1] (analytic) = 1.5546093223029631 " " y[1] (numeric) = 1.5546093223029573 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.71357590954014440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2437798363011336 " " Order of pole (three term test) = 22.38915972910548 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.629999999999903 " " y[1] (analytic) = 1.5577673246075676 " " y[1] (numeric) = 1.557767324607562 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.56350722950503400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24580105275095734 " " Order of pole (three term test) = 22.408745576183485 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.639999999999903 " " y[1] (analytic) = 1.561002217419261 " " y[1] (numeric) = 1.5610022174192555 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5561225097445450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2474290399511409 " " Order of pole (three term test) = 22.428477410873022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.649999999999903 " " y[1] (analytic) = 1.5643127068240499 " " y[1] (numeric) = 1.5643127068240443 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5485968367513610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2486611934694495 " " Order of pole (three term test) = 22.44832366644782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.659999999999902 " " y[1] (analytic) = 1.5676974686703116 " " y[1] (numeric) = 1.567697468670306 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.54093518300704000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24949554212309902 " " Order of pole (three term test) = 22.468252593132608 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.669999999999902 " " y[1] (analytic) = 1.571155149098437 " " y[1] (numeric) = 1.5711551490984317 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.3918168560620430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499307511322285 " " Order of pole (three term test) = 22.488232308895956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.679999999999902 " " y[1] (analytic) = 1.574684365082357 " " y[1] (numeric) = 1.5746843650823517 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.3842150442142970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499661242552634 " " Order of pole (three term test) = 22.50823085045478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.689999999999902 " " y[1] (analytic) = 1.5782837049827334 " " y[1] (numeric) = 1.578283704982728 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.37649720476525640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2496016049027522 " " Order of pole (three term test) = 22.528216224408684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.699999999999902 " " y[1] (analytic) = 1.5819517291115965 " " y[1] (numeric) = 1.5819517291115912 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.36866822175003240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24883777622789932 " " Order of pole (three term test) = 22.54815645842269 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.709999999999901 " " y[1] (analytic) = 1.5856869703082013 " " y[1] (numeric) = 1.5856869703081962 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.2207024519367117000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24767586019364282 " " Order of pole (three term test) = 22.56801965237603 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.719999999999901 " " y[1] (analytic) = 1.5894879345258717 " " y[1] (numeric) = 1.5894879345258666 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.2130007421535380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24611771561777557 " " Order of pole (three term test) = 22.587774029395668 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.729999999999901 " " y[1] (analytic) = 1.5933531014295992 " " y[1] (numeric) = 1.5933531014295943 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.0658498131818690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2441658351992322 " " Order of pole (three term test) = 22.607387986692398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.739999999999900 " " y[1] (analytic) = 1.5972809250041575 " " y[1] (numeric) = 1.5972809250041526 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.05831067777759540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24182334153030355 " " Order of pole (three term test) = 22.626830146118625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7499999999999005 " " y[1] (analytic) = 1.601269834172487 " " y[1] (numeric) = 1.6012698341724823 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.91202432214392850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2390939821011548 " " Order of pole (three term test) = 22.646069404366727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7599999999999 " " y[1] (analytic) = 1.605318233424105 " " y[1] (numeric) = 1.6053182334241003 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.9046805837866340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2359821233046401 " " Order of pole (three term test) = 22.66507498272765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7699999999999 " " y[1] (analytic) = 1.609424503453289 " " y[1] (numeric) = 1.6094245034532844 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.89726960998825830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23249274345100607 " " Order of pole (three term test) = 22.683816476330332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7799999999999 " " y[1] (analytic) = 1.6135870018067766 " " y[1] (numeric) = 1.6135870018067722 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.75218633611205350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22863142480365714 " " Order of pole (three term test) = 22.70226390278297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7899999999999 " " y[1] (analytic) = 1.6178040635407256 " " y[1] (numeric) = 1.6178040635407214 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.60776171147835200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22440434464872513 " " Order of pole (three term test) = 22.72038775013849 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7999999999998995 " " y[1] (analytic) = 1.6220740018866695 " " y[1] (numeric) = 1.6220740018866653 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.6008970544306620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21981826541272897 " " Order of pole (three term test) = 22.738159024107325 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.809999999999900 " " y[1] (analytic) = 1.6263951089262016 " " y[1] (numeric) = 1.6263951089261974 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.59398683039634500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21488052384413475 " " Order of pole (three term test) = 22.755549294442154 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.819999999999899 " " y[1] (analytic) = 1.6307656562741197 " " y[1] (numeric) = 1.6307656562741157 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.45087506796177630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20959901927612332 " " Order of pole (three term test) = 22.77253074042014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.829999999999899 " " y[1] (analytic) = 1.6351838957697584 " " y[1] (numeric) = 1.6351838957697544 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.44425284458240050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20398220098934317 " " Order of pole (three term test) = 22.78907619535024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.839999999999899 " " y[1] (analytic) = 1.6396480601762282 " " y[1] (numeric) = 1.6396480601762242 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.4375980344348958000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.198039054694862 " " Order of pole (three term test) = 22.80515919003409 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.849999999999898 " " y[1] (analytic) = 1.6441563638872878 " " y[1] (numeric) = 1.644156363887284 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.29586331728257960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19177908815894756 " " Order of pole (three term test) = 22.82075399511104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.859999999999898 " " y[1] (analytic) = 1.6487070036415628 " " y[1] (numeric) = 1.6487070036415592 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.15484841815646140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18521231599266902 " " Order of pole (three term test) = 22.835835662219672 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.869999999999898 " " y[1] (analytic) = 1.653298159243826 " " y[1] (numeric) = 1.6532981592438225 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.14886447368054680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17834924363065563 " " Order of pole (three term test) = 22.850380063909885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.879999999999898 " " y[1] (analytic) = 1.657927994293051 " " y[1] (numeric) = 1.6579279942930476 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.00893469761072720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17120085052464284 " " Order of pole (three term test) = 22.864363932241595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.8899999999998975 " " y[1] (analytic) = 1.662594656916948 " " y[1] (numeric) = 1.662594656916945 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.86974284803426040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1637785725786908 " " Order of pole (three term test) = 22.87776489600854 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.899999999999897 " " y[1] (analytic) = 1.6672962805126896 " " y[1] (numeric) = 1.6672962805126865 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.86447034356397900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15609428385417848 " " Order of pole (three term test) = 22.890561516527423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.909999999999897 " " y[1] (analytic) = 1.6720309844935244 " " y[1] (numeric) = 1.6720309844935215 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.7263913712100150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14816027757383698 " " Order of pole (three term test) = 22.902733321935212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.919999999999897 " " y[1] (analytic) = 1.676796875040989 " " y[1] (numeric) = 1.676796875040986 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.7214845202731222000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13998924645521796 " " Order of pole (three term test) = 22.914260839939768 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.929999999999897 " " y[1] (analytic) = 1.6815920458624083 " " y[1] (numeric) = 1.6815920458624056 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.5845313170079028000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13159426240505046 " " Order of pole (three term test) = 22.92512562897134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.9399999999998965 " " y[1] (analytic) = 1.6864145789533889 " " y[1] (numeric) = 1.6864145789533862 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.58000013303610160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12298875560698 " " Order of pole (three term test) = 22.935310307685203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.949999999999896 " " y[1] (analytic) = 1.6912625453649937 " " y[1] (numeric) = 1.6912625453649912 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.44418183969670270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11418649303614078 " " Order of pole (three term test) = 22.944798582768016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.959999999999896 " " y[1] (analytic) = 1.696134005975297 " " y[1] (numeric) = 1.6961340059752945 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.44003401003146760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10520155643492933 " " Order of pole (three term test) = 22.95357527500369 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.969999999999896 " " y[1] (analytic) = 1.7010270122650064 " " y[1] (numeric) = 1.701027012265004 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.4358917504331930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.6048319785224200E-2 " " Order of pole (three term test) = 22.96162634355693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.979999999999896 " " y[1] (analytic) = 1.7059396070968456 " " y[1] (numeric) = 1.7059396070968431 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.43175681250050530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.67414263130779100E-2 " " Order of pole (three term test) = 22.96893890843552 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.989999999999895 " " y[1] (analytic) = 1.7108698254983816 " " y[1] (numeric) = 1.7108698254983794 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.2978462862324960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.72957650626813200E-2 " " Order of pole (three term test) = 22.975501271095567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.999999999999895 " " y[1] (analytic) = 1.7158156954479897 " " y[1] (numeric) = 1.7158156954479877 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.16469469863633020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.77264470770678900E-2 " " Order of pole (three term test) = 22.981302933156734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.009999999999895 " " y[1] (analytic) = 1.720775238663634 " " y[1] (numeric) = 1.7207752386636321 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.03230032574142680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.80487812236698200E-2 " " Order of pole (three term test) = 22.986334613197315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.019999999999895 " " y[1] (analytic) = 1.7257464713941544 " " y[1] (numeric) = 1.7257464713941528 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.00660821412289400000000000000E-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 = 4.82782497033931600E-2 " " Order of pole (three term test) = 22.990588261602642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0299999999998946 " " y[1] (analytic) = 1.7307274052127413 " " y[1] (numeric) = 1.7307274052127397 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.98068771427446700000000000000E-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 = 3.84304832824021170E-2 " " Order of pole (three term test) = 22.994057073442658 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.039999999999894 " " y[1] (analytic) = 1.7357160478122784 " " y[1] (numeric) = 1.735716047812277 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.67560818043594900000000000000E-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 = 2.852123628622499000E-2 " " Order of pole (three term test) = 22.99673549935838 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.049999999999894 " " y[1] (analytic) = 1.7407104038022405 " " y[1] (numeric) = 1.7407104038022394 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.37798810301869900000000000000E-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 = 1.8566361396195800E-2 " " Order of pole (three term test) = 22.99861925443972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.059999999999894 " " y[1] (analytic) = 1.7457084755068222 " " y[1] (numeric) = 1.745708475506821 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3597275272598510000000000000E-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 = 8.581784288545024000E-3 " " Order of pole (three term test) = 22.99970532508039 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.069999999999894 " " y[1] (analytic) = 1.7507082637639815 " " y[1] (numeric) = 1.7507082637639804 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34156499746110300000000000000E-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 = 1.4165218432841337000E-3 " " Order of pole (three term test) = 22.99999197379905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0799999999998935 " " y[1] (analytic) = 1.7557077687250786 " " y[1] (numeric) = 1.7557077687250775 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.32350693208673300000000000000E-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 = 1.141256184233960800E-2 " " Order of pole (three term test) = 22.99947874201889 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.089999999999893 " " y[1] (analytic) = 1.7607049906547882 " " y[1] (numeric) = 1.7607049906547871 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.30555959412755300000000000000E-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 = 2.139034417699719700E-2 " " Order of pole (three term test) = 22.998166450801293 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.099999999999893 " " y[1] (analytic) = 1.7656979307309673 " " y[1] (numeric) = 1.7656979307309664 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.030183273378110000000000000000E-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 = 3.13339065240014400E-2 " " Order of pole (three term test) = 22.99605719953225 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.109999999999893 " " y[1] (analytic) = 1.770684591844157 " " y[1] (numeric) = 1.770684591844156 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.01601710316512700000000000000E-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 = 4.12273413047778200E-2 " " Order of pole (three term test) = 22.993154362563853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.119999999999893 " " y[1] (analytic) = 1.7756629793963996 " " y[1] (numeric) = 1.775662979396399 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.75146535409288400000000000000E-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 = 5.105482113416342000E-2 " " Order of pole (three term test) = 22.989462583816003 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.129999999999892 " " y[1] (analytic) = 1.7806311020990524 " " y[1] (numeric) = 1.7806311020990517 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.74099842460259600000000000000E-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 = 6.08006241408488900E-2 " " Order of pole (three term test) = 22.984987769347153 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.139999999999892 " " y[1] (analytic) = 1.7855869727692748 " " y[1] (numeric) = 1.7855869727692741 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.73061533789073300000000000000E-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 = 7.04491591190168800E-2 " " Order of pole (three term test) = 22.979737077905906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.149999999999892 " " y[1] (analytic) = 1.790528609124876 " " y[1] (numeric) = 1.7905286091248755 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.480212868908651400000000000000E-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 = 7.998499047094699E-2 " " Order of pole (three term test) = 22.973718909478443 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.159999999999892 " " y[1] (analytic) = 1.7954540345772017 " " y[1] (numeric) = 1.7954540345772012 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.47340896117475900000000000000E-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 = 8.93928629006778300E-2 " " Order of pole (three term test) = 22.96694289185047 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.169999999999892 " " y[1] (analytic) = 1.8003612790217423 " " y[1] (numeric) = 1.8003612790217418 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.466667190772766600000000000000E-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 = 9.86577258192282700E-2 " " Order of pole (three term test) = 22.95941986520471 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.179999999999891 " " y[1] (analytic) = 1.8052483796261487 " " y[1] (numeric) = 1.8052483796261485 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.229994761003551400000000000000E-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 = 0.1077647574223271 " " Order of pole (three term test) = 22.95116186477896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.189999999999891 " " y[1] (analytic) = 1.81011338161534 " " y[1] (numeric) = 1.8101133816153399 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.226688931092699400000000000000E-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 = 0.11669938840213877 " " Order of pole (three term test) = 22.942182101612296 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.199999999999891 " " y[1] (analytic) = 1.8149543390533862 " " y[1] (numeric) = 1.8149543390533862 " " 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 = 0.1254473252550491 " " Order of pole (three term test) = 22.93249494141021 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.209999999999890 " " y[1] (analytic) = 1.8197693156218575 " " y[1] (numeric) = 1.8197693156218575 " " 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 = 0.13399457314822 " " Order of pole (three term test) = 22.922115881562522 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.2199999999998905 " " y[1] (analytic) = 1.824556385394325 " " y[1] (numeric) = 1.8245563853943252 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.216978585603112500000000000000E-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 = 0.1423274583083381 " " Order of pole (three term test) = 22.911061526350924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.22999999999989 " " y[1] (analytic) = 1.8293136336067066 " " y[1] (numeric) = 1.829313633606707 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.427627508435984000000000000000E-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 = 0.15043264989673458 " " Order of pole (three term test) = 22.899349560385613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.23999999999989 " " y[1] (analytic) = 1.8340391574231467 " " y[1] (numeric) = 1.8340391574231472 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.421372564771271000000000000000E-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 = 0.15829718133588358 " " Order of pole (three term test) = 22.88699872031372 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.24999999999989 " " y[1] (analytic) = 1.8387310666971248 " " y[1] (numeric) = 1.8387310666971253 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.41519392309921100000000000000E-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 = 0.16590847105315967 " " Order of pole (three term test) = 22.87402876484465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.25999999999989 " " y[1] (analytic) = 1.843387484727489 " " y[1] (numeric) = 1.8433874847274896 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.61363967312368700000000000000E-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 = 0.17325434260866987 " " Order of pole (three term test) = 22.86046044314037 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.269999999999890 " " y[1] (analytic) = 1.8480065490091122 " " y[1] (numeric) = 1.8480065490091129 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.604607435683981000000000000000E-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 = 0.18032304417496162 " " Order of pole (three term test) = 22.84631546162119 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.279999999999890 " " y[1] (analytic) = 1.852586411977868 " " y[1] (numeric) = 1.852586411977869 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.79426176267742100000000000000E-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 = 0.1871032673374378 " " Order of pole (three term test) = 22.831616449240112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.289999999999889 " " y[1] (analytic) = 1.8571252417496336 " " y[1] (numeric) = 1.8571252417496347 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.97818068306041700000000000000E-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 = 0.19358416518540927 " " Order of pole (three term test) = 22.81638692128132 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.299999999999889 " " y[1] (analytic) = 1.8616212228530167 " " y[1] (numeric) = 1.8616212228530178 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.9637428441199800000000000000E-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 = 0.19975536966483648 " " Order of pole (three term test) = 22.800651241740756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.309999999999889 " " y[1] (analytic) = 1.8660725569555217 " " y[1] (numeric) = 1.866072556955523 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.1394203005898600000000000000E-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 = 0.2056070081650065 " " Order of pole (three term test) = 22.784434584348915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.319999999999888 " " y[1] (analytic) = 1.870477463582858 " " y[1] (numeric) = 1.8704774635828594 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.12260722456531800000000000000E-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 = 0.2111297193126015 " " Order of pole (three term test) = 22.767762892298258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.329999999999888 " " y[1] (analytic) = 1.874834180831106 " " y[1] (numeric) = 1.8748341808311073 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.10605579507623000000000000000E-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 = 0.21631466794790094 " " Order of pole (three term test) = 22.75066283673963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.339999999999888 " " y[1] (analytic) = 1.879140966071455 " " y[1] (numeric) = 1.8791409660714564 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.08976949363961600000000000000E-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 = 0.22115355925915192 " " Order of pole (three term test) = 22.733161774114105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.349999999999888 " " y[1] (analytic) = 1.883396096647232 " " y[1] (numeric) = 1.8833960966472336 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.25271028883494800000000000000E-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 = 0.2256386520524982 " " Order of pole (three term test) = 22.715287702388512 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.3599999999998875 " " y[1] (analytic) = 1.8875978705629413 " " y[1] (numeric) = 1.8875978705629428 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.23433983855721400000000000000E-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 = 0.22976277113623894 " " Order of pole (three term test) = 22.69706921626471 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.369999999999887 " " y[1] (analytic) = 1.8917446071650388 " " y[1] (numeric) = 1.8917446071650406 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.39004574228596400000000000000E-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 = 0.2335193187996055 " " Order of pole (three term test) = 22.678535461434063 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.379999999999887 " " y[1] (analytic) = 1.8958346478141734 " " y[1] (numeric) = 1.8958346478141752 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.36978782114950600000000000000E-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 = 0.23690228536769037 " " Order of pole (three term test) = 22.659716087950656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.389999999999887 " " y[1] (analytic) = 1.8998663565486185 " " y[1] (numeric) = 1.8998663565486202 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.3499041828776800000000000000E-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 = 0.2399062588156459 " " Order of pole (three term test) = 22.64064120279747 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.399999999999887 " " y[1] (analytic) = 1.9038381207386355 " " y[1] (numeric) = 1.9038381207386372 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.3303985252226910000000000000E-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 = 0.24252643342676872 " " Order of pole (three term test) = 22.62134132172168 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4099999999998865 " " y[1] (analytic) = 1.9077483517315046 " " y[1] (numeric) = 1.9077483517315064 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.3112744025594300000000000000E-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 = 0.24475861748062194 " " Order of pole (three term test) = 22.601847320415896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.419999999999886 " " y[1] (analytic) = 1.9115954854869643 " " y[1] (numeric) = 1.9115954854869663 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.04541021335180870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2465992399588931 " " Order of pole (three term test) = 22.582190385123713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.429999999999886 " " y[1] (analytic) = 1.915377983202807 " " y[1] (numeric) = 1.9153779832028093 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.1592730357782360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2480453562582625 " " Order of pole (three term test) = 22.562401962748353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.439999999999886 " " y[1] (analytic) = 1.919094331930379 " " y[1] (numeric) = 1.9190943319303815 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.27273089891234870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24909465290113889 " " Order of pole (three term test) = 22.54251371054429 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.449999999999886 " " y[1] (analytic) = 1.92274304517974 " " y[1] (numeric) = 1.9227430451797425 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.27031568794311660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24974545123673222 " " Order of pole (three term test) = 22.522557445472486 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.459999999999885 " " y[1] (analytic) = 1.926322663514239 " " y[1] (numeric) = 1.9263226635142414 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.26795510453033220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999671012653482 " " Order of pole (three term test) = 22.50256509329991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.469999999999885 " " y[1] (analytic) = 1.9298317551342696 " " y[1] (numeric) = 1.9298317551342723 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.38070857835738550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24984802760992236 " " Order of pole (three term test) = 22.48256863752525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.479999999999885 " " y[1] (analytic) = 1.9332689164499715 " " y[1] (numeric) = 1.9332689164499741 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.37825381478393430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24929964154720366 " " Order of pole (three term test) = 22.46260006821205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.489999999999885 " " y[1] (analytic) = 1.9366327726426462 " " y[1] (numeric) = 1.9366327726426489 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.37585984123591220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24835242923909673 " " Order of pole (three term test) = 22.442691330811495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4999999999998845 " " y[1] (analytic) = 1.9399219782146677 " " y[1] (numeric) = 1.9399219782146704 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.37352702274788270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24700790602323322 " " Order of pole (three term test) = 22.422874275056433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.509999999999884 " " y[1] (analytic) = 1.9431352175276626 " " y[1] (numeric) = 1.9431352175276653 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.37125570833438040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2452682228499422 " " Order of pole (three term test) = 22.40318060400868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.519999999999884 " " y[1] (analytic) = 1.9462712053287485 " " y[1] (numeric) = 1.9462712053287512 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.36904623148360440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24313616284118833 " " Order of pole (three term test) = 22.383641823340806 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.529999999999884 " " y[1] (analytic) = 1.9493286872646172 " " y[1] (numeric) = 1.94932868726462 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.4808071531928160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24061513683817043 " " Order of pole (three term test) = 22.36428919093383 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.539999999999884 " " y[1] (analytic) = 1.9523064403832606 " " y[1] (numeric) = 1.9523064403832635 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.47854855381142820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23770917794470284 " " Order of pole (three term test) = 22.345153666871266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.5499999999998835 " " y[1] (analytic) = 1.9552032736231337 " " y[1] (numeric) = 1.9552032736231368 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.58992392805783870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23442293507511067 " " Order of pole (three term test) = 22.326265863909583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.559999999999883 " " y[1] (analytic) = 1.958018028289565 " " y[1] (numeric) = 1.958018028289568 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.58763832816493030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2307616655169574 " " Order of pole (three term test) = 22.307655998504348 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.569999999999883 " " y[1] (analytic) = 1.9607495785182172 " " y[1] (numeric) = 1.9607495785182203 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.58542656492610150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22673122652050684 " " Order of pole (three term test) = 22.2893538424703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.579999999999883 " " y[1] (analytic) = 1.963396831725419 " " y[1] (numeric) = 1.963396831725422 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.5832889300420241000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22233806592837205 " " Order of pole (three term test) = 22.271388675352853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.589999999999883 " " y[1] (analytic) = 1.9659587290451837 " " y[1] (numeric) = 1.9659587290451868 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.58122570073493780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2175892118603431 " " Order of pole (three term test) = 22.25378923758703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.599999999999882 " " y[1] (analytic) = 1.9684342457527415 " " y[1] (numeric) = 1.9684342457527448 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69203979308021090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21249226146989378 " " Order of pole (three term test) = 22.236583684518894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.609999999999882 " " y[1] (analytic) = 1.970822391674416 " " y[1] (numeric) = 1.9708223916744196 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.80265542638883140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20705536879035746 " " Order of pole (three term test) = 22.21979954136305 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.619999999999882 " " y[1] (analytic) = 1.9731222115836804 " " y[1] (numeric) = 1.973122211583684 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.80055429812885160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2012872316902129 " " Order of pole (three term test) = 22.20346365916812 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.629999999999882 " " y[1] (analytic) = 1.9753327855832343 " " y[1] (numeric) = 1.9753327855832379 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.7985393168835248000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19519707795834995 " " Order of pole (three term test) = 22.187602171860803 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6399999999998816 " " y[1] (analytic) = 1.9774532294729519 " " y[1] (numeric) = 1.9774532294729557 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.9088988945299170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18879465054157613 " " Order of pole (three term test) = 22.172240454437194 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.649999999999881 " " y[1] (analytic) = 1.9794826951035498 " " y[1] (numeric) = 1.9794826951035536 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.90694179497642360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18209019195797987 " " Order of pole (three term test) = 22.157403082368184 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.659999999999881 " " y[1] (analytic) = 1.9814203707158347 " " y[1] (numeric) = 1.9814203707158384 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.90507695364099420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17509442791108681 " " Order of pole (three term test) = 22.143113792283938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.669999999999881 " " y[1] (analytic) = 1.983265481265397 " " y[1] (numeric) = 1.9832654812654007 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.90330458498027040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1678185501310218 " " Order of pole (three term test) = 22.129395444000362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.679999999999880 " " y[1] (analytic) = 1.985017288732618 " " y[1] (numeric) = 1.9850172887326218 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.9016248901971108000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1602741984701285 " " Order of pole (three term test) = 22.116269983948303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6899999999998805 " " y[1] (analytic) = 1.986675092417868 " " y[1] (numeric) = 1.986675092417872 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.01180500218900130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15247344228168855 " " Order of pole (three term test) = 22.103758410063897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.69999999999988 " " y[1] (analytic) = 1.9882382292217768 " " y[1] (numeric) = 1.9882382292217808 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.01022333737892440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1444287611115308 " " Order of pole (three term test) = 22.091880738196355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.70999999999988 " " y[1] (analytic) = 1.9897060739104644 " " y[1] (numeric) = 1.9897060739104684 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00874035670779050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13615302473342045 " " Order of pole (three term test) = 22.080655970086895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.71999999999988 " " y[1] (analytic) = 1.991078039365626 " " y[1] (numeric) = 1.99107803936563 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00735622091637260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1276594725601662 " " Order of pole (three term test) = 22.07010206297001 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.72999999999988 " " y[1] (analytic) = 1.9923535768193725 " " y[1] (numeric) = 1.9923535768193765 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00607107852368650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11896169246338398 " " Order of pole (three term test) = 22.0602359008457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.739999999999880 " " y[1] (analytic) = 1.993532176073729 " " y[1] (numeric) = 1.9935321760737332 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11626756979896600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11007359903580122 " " Order of pole (three term test) = 22.051073267468706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.749999999999880 " " y[1] (analytic) = 1.9946133657047085 " " y[1] (numeric) = 1.9946133657047127 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11512043692991650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10100941133087679 " " Order of pole (three term test) = 22.042628821097836 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.759999999999879 " " y[1] (analytic) = 1.9955967132508743 " " y[1] (numeric) = 1.9955967132508785 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11407819303480040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.17836301153480200E-2 " " Order of pole (three term test) = 22.03491607104588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.769999999999879 " " y[1] (analytic) = 1.9964818253863188 " " y[1] (numeric) = 1.996481825386323 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11314094620382980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.24110146710982300E-2 " " Order of pole (three term test) = 22.02794735606765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.779999999999879 " " y[1] (analytic) = 1.9972683480779894 " " y[1] (numeric) = 1.9972683480779936 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11230879297490240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.29065591834535600E-2 " " Order of pole (three term test) = 22.02173382462052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.789999999999878 " " y[1] (analytic) = 1.997955966727296 " " y[1] (numeric) = 1.9979559667273004 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.22271770372143050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.32854687536851500E-2 " " Order of pole (three term test) = 22.016285417029312 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.799999999999878 " " y[1] (analytic) = 1.9985444062959472 " " y[1] (numeric) = 1.9985444062959516 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.2220632598958690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.35631350740907800E-2 " " Order of pole (three term test) = 22.01161084958392 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.809999999999878 " " y[1] (analytic) = 1.9990334314159612 " " y[1] (numeric) = 1.9990334314159657 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.22151967481356270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.37551118045706340E-2 " " Order of pole (three term test) = 22.00771760059507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.819999999999878 " " y[1] (analytic) = 1.9994228464838106 " " y[1] (numeric) = 1.9994228464838149 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.11003265317032340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.38770896900892070E-2 " " Order of pole (three term test) = 22.00461189843062 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.8299999999998775 " " y[1] (analytic) = 1.9997124957386598 " " y[1] (numeric) = 1.999712495738664 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.10972702454270770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.39448714588306800E-2 " " Order of pole (three term test) = 22.002298711551518 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.839999999999877 " " y[1] (analytic) = 1.9999022633246692 " " y[1] (numeric) = 1.9999022633246735 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.10952683585752620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.397434654120483800E-2 " " Order of pole (three term test) = 22.00078174056332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.849999999999877 " " y[1] (analytic) = 1.9999920733373344 " " y[1] (numeric) = 1.9999920733373386 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.10943210716616200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.981465650148001700E-3 " " Order of pole (three term test) = 22.00006341229601 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.859999999999877 " " y[1] (analytic) = 1.999981889853848 " " y[1] (numeric) = 1.9999818898538522 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.10944284794693520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.017784736615030000E-3 " " Order of pole (three term test) = 22.000144875921578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.869999999999877 " " y[1] (analytic) = 1.9998717169474673 " " y[1] (numeric) = 1.9998717169474716 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.10955905712547020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.600740795152510400E-2 " " Order of pole (three term test) = 22.001026001115598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.879999999999876 " " y[1] (analytic) = 1.9996615986858863 " " y[1] (numeric) = 1.9996615986858906 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.1097807230723870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.597142272844426600E-2 " " Order of pole (three term test) = 22.002705378265716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.889999999999876 " " y[1] (analytic) = 1.9993516191136078 " " y[1] (numeric) = 1.999351619113612 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.1101078235783150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.58938887692726500E-2 " " Order of pole (three term test) = 22.00518032072676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.899999999999876 " " y[1] (analytic) = 1.998941902218328 " " y[1] (numeric) = 1.998941902218332 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.99945925602695470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.57589322450247750E-2 " " Order of pole (three term test) = 22.008446869118735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.909999999999876 " " y[1] (analytic) = 1.9984326118813416 " " y[1] (numeric) = 1.9984326118813456 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.99996880799895420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.555077119056973000E-2 " " Order of pole (three term test) = 22.012499797661032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.919999999999876 " " y[1] (analytic) = 1.9978239518119936 " " y[1] (numeric) = 1.9978239518119976 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00057812152343470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.525374075240900E-2 " " Order of pole (three term test) = 22.017332622532585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.929999999999875 " " y[1] (analytic) = 1.997116165466196 " " y[1] (numeric) = 1.9971161654662 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00128713480098060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.48523182491000500E-2 " " Order of pole (three term test) = 22.022937612244537 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.939999999999875 " " y[1] (analytic) = 1.9963095359490501 " " y[1] (numeric) = 1.9963095359490541 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.00209577556842880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.43311480042354500E-2 " " Order of pole (three term test) = 22.029305800009023 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.949999999999875 " " y[1] (analytic) = 1.995404385901608 " " y[1] (numeric) = 1.995404385901612 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.0030039609463118000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.3675065912249400E-2 " " Order of pole (three term test) = 22.036426998084075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.959999999999875 " " y[1] (analytic) = 1.9944010773718202 " " y[1] (numeric) = 1.9944010773718241 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.0040115972648120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10286912369775211 " " Order of pole (three term test) = 22.044289814071895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.9699999999998745 " " y[1] (analytic) = 1.9933000116697213 " " y[1] (numeric) = 1.993300011669725 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.89372310320890580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11189861282958105 " " Order of pole (three term test) = 22.052881669144217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.979999999999874 " " y[1] (analytic) = 1.9921016292069111 " " y[1] (numeric) = 1.9921016292069151 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.006324792898120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12074908805131379 " " Order of pole (three term test) = 22.062188818165755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.989999999999874 " " y[1] (analytic) = 1.9908064093203972 " " y[1] (numeric) = 1.990806409320401 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.89609510299603880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12940639049059588 " " Order of pole (three term test) = 22.072196371683475 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.999999999999874 " " y[1] (analytic) = 1.9894148700808643 " " y[1] (numeric) = 1.989414870080868 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.89742136770702760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13785667031031745 " " Order of pole (three term test) = 22.08288831974661 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.009999999999874 " " y[1] (analytic) = 1.987927568085455 " " y[1] (numeric) = 1.9879275680854585 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.78714442912126320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1460864088653971 " " Order of pole (three term test) = 22.094247557519065 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.019999999999873 " " y[1] (analytic) = 1.9863450982351363 " " y[1] (numeric) = 1.98634509823514 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.90035371350094070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1540824403297305 " " Order of pole (three term test) = 22.10625591264358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.029999999999873 " " y[1] (analytic) = 1.9846680934967498 " " y[1] (numeric) = 1.9846680934967535 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 1.90195947427907500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16183197275870384 " " Order of pole (three term test) = 22.11889417431361 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.039999999999873 " " y[1] (analytic) = 1.9828972246498309 " " y[1] (numeric) = 1.9828972246498344 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.79167817405558730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16932260855357625 " " Order of pole (three term test) = 22.132142124006496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.049999999999873 " " y[1] (analytic) = 1.9810332000183069 " " y[1] (numeric) = 1.9810332000183104 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.7933640278051222000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.176542364294993 " " Order of pole (three term test) = 22.145978567828816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.059999999999873 " " y[1] (analytic) = 1.979076765187177 " " y[1] (numeric) = 1.9790767651871806 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.7951368745741870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18347968991390023 " " Order of pole (three term test) = 22.160381370422066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.069999999999872 " " y[1] (analytic) = 1.9770287027042885 " " y[1] (numeric) = 1.977028702704292 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.79699650993478450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19012348716919159 " " Order of pole (three term test) = 22.17532749037452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.079999999999872 " " y[1] (analytic) = 1.9748898317673274 " " y[1] (numeric) = 1.974889831767331 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.7989427165267140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19646312740252628 " " Order of pole (three term test) = 22.19079301708261 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.089999999999872 " " y[1] (analytic) = 1.9726610078961504 " " y[1] (numeric) = 1.972661007896154 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.8009752636564160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2024884685419156 " " Order of pole (three term test) = 22.206753209002727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.099999999999872 " " y[1] (analytic) = 1.970343122590589 " " y[1] (numeric) = 1.9703431225905923 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69040053769738190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2081898713268742 " " Order of pole (three term test) = 22.22318253323246 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.109999999999872 " " y[1] (analytic) = 1.9679371029738602 " " y[1] (numeric) = 1.9679371029738635 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69246723832906480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2135582147291801 " " Order of pole (three term test) = 22.240054706357775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.119999999999871 " " y[1] (analytic) = 1.9654439114217312 " " y[1] (numeric) = 1.9654439114217346 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69461415536716260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21858491054457563 " " Order of pole (three term test) = 22.257342736500885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.129999999999871 " " y[1] (analytic) = 1.9628645451775808 " " y[1] (numeric) = 1.9628645451775841 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69684101842806660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2232619171320602 " " Order of pole (three term test) = 22.275018966501467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.139999999999871 " " y[1] (analytic) = 1.9602000359535154 " " y[1] (numeric) = 1.9602000359535188 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.69914754248808420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22758175227880248 " " Order of pole (three term test) = 22.293055118162247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.14999999999987 " " y[1] (analytic) = 1.9574514495176984 " " y[1] (numeric) = 1.9574514495177018 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.70153342740435340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23153750517008326 " " Order of pole (three term test) = 22.311422337488093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.15999999999987 " " y[1] (analytic) = 1.9546198852680567 " " y[1] (numeric) = 1.95461988526806 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.70399835741909560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2351228474451254 " " Order of pole (three term test) = 22.330091240846198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.16999999999987 " " y[1] (analytic) = 1.9517064757925366 " " y[1] (numeric) = 1.95170647579254 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.7065420006473940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23833204332112098 " " Order of pole (three term test) = 22.349031961973683 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.17999999999987 " " y[1] (analytic) = 1.9487123864160836 " " y[1] (numeric) = 1.9487123864160867 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.59521974131214550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2411599587692603 " " Order of pole (three term test) = 22.3682141997572 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.18999999999987 " " y[1] (analytic) = 1.945638814734527 " " y[1] (numeric) = 1.94563881473453 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.5977397476903210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2436020697280831 " " Order of pole (three term test) = 22.387607266708315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.19999999999987 " " y[1] (analytic) = 1.9424869901355593 " " y[1] (numeric) = 1.9424869901355624 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.6003321951378930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24565446934101082 " " Order of pole (three term test) = 22.407180138056848 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.20999999999987 " " y[1] (analytic) = 1.9392581733069965 " " y[1] (numeric) = 1.9392581733069993 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.48849694370654760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2473138742064848 " " Order of pole (three term test) = 22.426901501383984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.21999999999987 " " y[1] (analytic) = 1.9359536557325194 " " y[1] (numeric) = 1.9359536557325223 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.49103768857173020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2485776296307079 " " Order of pole (three term test) = 22.446739806715385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.229999999999869 " " y[1] (analytic) = 1.9325747591750986 " " y[1] (numeric) = 1.9325747591751012 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.37874886673864440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24944371387458797 " " Order of pole (three term test) = 22.46666331699448 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.239999999999869 " " y[1] (analytic) = 1.9291228351483052 " " y[1] (numeric) = 1.9291228351483078 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.3812159653874680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499107413880897 " " Order of pole (three term test) = 22.486640158854936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.249999999999869 " " y[1] (analytic) = 1.9255992643757252 " " y[1] (numeric) = 1.9255992643757278 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.38374339271687020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24997796502681852 " " Order of pole (three term test) = 22.506638373611267 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.259999999999868 " " y[1] (analytic) = 1.9220054562386872 " " y[1] (numeric) = 1.9220054562386897 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.27080318437557040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24964527724729302 " " Order of pole (three term test) = 22.52662596838594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.269999999999868 " " y[1] (analytic) = 1.918342848212529 " " y[1] (numeric) = 1.9183428482125315 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.27322947326709870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2489132102789907 " " Order of pole (three term test) = 22.546570967291093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.279999999999868 " " y[1] (analytic) = 1.9146129052916276 " " y[1] (numeric) = 1.9146129052916299 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.15973628043215430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24778293527289463 " " Order of pole (three term test) = 22.566441462583192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.289999999999868 " " y[1] (analytic) = 1.910817119403419 " " y[1] (numeric) = 1.910817119403421 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.04583605831897080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24625626042790244 " " Order of pole (three term test) = 22.586205665708587 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.299999999999867 " " y[1] (analytic) = 1.9069570088116483 " " y[1] (numeric) = 1.9069570088116503 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.04795306611060850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2443356280980928 " " Order of pole (three term test) = 22.6058319581584 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.309999999999867 " " y[1] (analytic) = 1.9030341175090855 " " y[1] (numeric) = 1.9030341175090872 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.33434047795924300000000000000E-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 = 0.2420241108854804 " " Order of pole (three term test) = 22.62528894205144 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.319999999999867 " " y[1] (analytic) = 1.8990500145999465 " " y[1] (numeric) = 1.8990500145999483 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.35392341298845400000000000000E-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 = 0.23932540672450772 " " Order of pole (three term test) = 22.644545490364088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.329999999999867 " " y[1] (analytic) = 1.8950062936722747 " " y[1] (numeric) = 1.8950062936722765 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 9.37388358725660400000000000000E-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 = 0.23624383296613988 " " Order of pole (three term test) = 22.663570796726876 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.339999999999867 " " y[1] (analytic) = 1.8909045721605255 " " y[1] (numeric) = 1.890904572160527 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.21994011416070600000000000000E-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 = 0.23278431947102282 " " Order of pole (three term test) = 22.682334424708145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.349999999999866 " " y[1] (analytic) = 1.8867464906986147 " " y[1] (numeric) = 1.8867464906986162 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.23805552117230400000000000000E-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 = 0.22895240072275827 " " Order of pole (three term test) = 22.700806356505822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.359999999999866 " " y[1] (analytic) = 1.8825337124636865 " " y[1] (numeric) = 1.882533712463688 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.25649083564659600000000000000E-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 = 0.2247542069739114 " " Order of pole (three term test) = 22.71895704096949 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.369999999999866 " " y[1] (analytic) = 1.8782679225108656 " " y[1] (numeric) = 1.878267922510867 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.09306491147021500000000000000E-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 = 0.22019645443891314 " " Order of pole (three term test) = 22.736757440875948 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.379999999999866 " " y[1] (analytic) = 1.8739508270992564 " " y[1] (numeric) = 1.8739508270992578 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.10940548857647500000000000000E-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 = 0.21528643454955113 " " Order of pole (three term test) = 22.754179079382563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.389999999999866 " " y[1] (analytic) = 1.8695841530094635 " " y[1] (numeric) = 1.8695841530094646 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.93834207910905900000000000000E-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 = 0.2100320022902331 " " Order of pole (three term test) = 22.77119408558415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.399999999999865 " " y[1] (analytic) = 1.8651696468529004 " " y[1] (numeric) = 1.8651696468529015 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.95239701921181900000000000000E-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 = 0.2044415636316881 " " Order of pole (three term test) = 22.787775239100444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.409999999999865 " " y[1] (analytic) = 1.8607090743731713 " " y[1] (numeric) = 1.8607090743731722 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.773333090769879500000000000000E-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 = 0.19852406208320678 " " Order of pole (three term test) = 22.80389601362297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.419999999999865 " " y[1] (analytic) = 1.8562042197397943 " " y[1] (numeric) = 1.856204219739795 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.58868818253453600000000000000E-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 = 0.19228896438493345 " " Order of pole (three term test) = 22.819530619351383 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.429999999999865 " " y[1] (analytic) = 1.8516568848345587 " " y[1] (numeric) = 1.8516568848345591 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.398334235069371200000000000000E-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 = 0.1857462453631022 " " Order of pole (three term test) = 22.83465404425173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.439999999999864 " " y[1] (analytic) = 1.8470688885307962 " " y[1] (numeric) = 1.8470688885307966 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40429153783918700000000000000E-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 = 0.17890637197244283 " " Order of pole (three term test) = 22.849242094070338 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.449999999999864 " " y[1] (analytic) = 1.842442065965856 " " y[1] (numeric) = 1.8424420659658565 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.410329301818559800000000000000E-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 = 0.17178028655128413 " " Order of pole (three term test) = 22.863271431039433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.459999999999864 " " y[1] (analytic) = 1.837778267807074 " " y[1] (numeric) = 1.8377782678070744 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.416446083998867500000000000000E-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 = 0.1643793893161504 " " Order of pole (three term test) = 22.876719611212636 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.469999999999864 " " y[1] (analytic) = 1.8330793595115304 " " y[1] (numeric) = 1.8330793595115307 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.211320196110879800000000000000E-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 = 0.15671552012384354 " " Order of pole (three term test) = 22.88956512037046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.479999999999864 " " y[1] (analytic) = 1.8283472205798923 " " y[1] (numeric) = 1.8283472205798923 " " 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 = 0.14880093953020007 " " Order of pole (three term test) = 22.901787408438494 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.489999999999863 " " y[1] (analytic) = 1.8235837438046378 " " y[1] (numeric) = 1.8235837438046378 " " 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 = 0.14064830917581542 " " Order of pole (three term test) = 22.913366922363096 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.499999999999863 " " y[1] (analytic) = 1.818790834512965 " " y[1] (numeric) = 1.8187908345129649 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.220836396970794700000000000000E-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 = 0.13227067153012206 " " Order of pole (three term test) = 22.92428513739215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.509999999999863 " " y[1] (analytic) = 1.8139704098046858 " " y[1] (numeric) = 1.8139704098046856 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.224080633977592400000000000000E-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 = 0.12368142902621897 " " Order of pole (three term test) = 22.93452458671073 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.519999999999863 " " y[1] (analytic) = 1.8091243977854123 " " y[1] (numeric) = 1.809124397785412 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.454719036422711400000000000000E-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 = 0.11489432261983802 " " Order of pole (three term test) = 22.94406888938419 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.529999999999863 " " y[1] (analytic) = 1.8042547367953394 " " y[1] (numeric) = 1.804254736795339 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.461344292429792600000000000000E-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 = 0.10592340980674693 " " Order of pole (three term test) = 22.95290277656429 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.539999999999862 " " y[1] (analytic) = 1.7993633746339353 " " y[1] (numeric) = 1.7993633746339346 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.70205276024701200000000000000E-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 = 9.6783042133754300E-2 " " Order of pole (three term test) = 22.961012115915995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.549999999999862 " " y[1] (analytic) = 1.794452267780847 " " y[1] (numeric) = 1.7944522677808463 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.712184641160082300000000000000E-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 = 8.74878422392954100E-2 " " Order of pole (three term test) = 22.968383934226242 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.559999999999862 " " y[1] (analytic) = 1.7895233806133355 " " y[1] (numeric) = 1.7895233806133346 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.96321215650009530000000000000E-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 = 7.80526804603309800E-2 " " Order of pole (three term test) = 22.975006438158296 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.569999999999862 " " y[1] (analytic) = 1.78457868462055 " " y[1] (numeric) = 1.784578684620549 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.22120523008051200000000000000E-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 = 6.84926510429809500E-2 " " Order of pole (three term test) = 22.980869033118605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.579999999999862 " " y[1] (analytic) = 1.7796201576149593 " " y[1] (numeric) = 1.7796201576149582 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.23853927409472400000000000000E-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 = 5.88230479949483400E-2 " " Order of pole (three term test) = 22.985962340205845 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.589999999999861 " " y[1] (analytic) = 1.7746497829412529 " " y[1] (numeric) = 1.7746497829412515 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.5072143380432300000000000000E-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 = 4.90593406183711600E-2 " " Order of pole (three term test) = 22.990278211215188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.599999999999861 " " y[1] (analytic) = 1.7696695486830292 " " y[1] (numeric) = 1.7696695486830278 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.5283412688072090000000000000E-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 = 3.92171487622392500E-2 " " Order of pole (three term test) = 22.993809741673687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.60999999999986 " " y[1] (analytic) = 1.7646814468675893 " " y[1] (numeric) = 1.764681446867588 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.54962110535609100000000000000E-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 = 2.931221783396674700E-2 " " Order of pole (three term test) = 22.996551281885985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.61999999999986 " " y[1] (analytic) = 1.7596874726691527 " " y[1] (numeric) = 1.7596874726691512 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.83288799071568300000000000000E-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 = 1.93603936100994080E-2 " " Order of pole (three term test) = 22.998498445972555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.62999999999986 " " y[1] (analytic) = 1.7546896236108127 " " y[1] (numeric) = 1.7546896236108112 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.85804653746538200000000000000E-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 = 9.377596886453059000E-3 " " Order of pole (three term test) = 22.999648118886224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.63999999999986 " " y[1] (analytic) = 1.7496898987655563 " " y[1] (numeric) = 1.7496898987655545 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.01524095249878740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.2020199176461320000E-4 " " Order of pole (three term test) = 22.999998461395588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.64999999999986 " " y[1] (analytic) = 1.7446902979566588 " " y[1] (numeric) = 1.7446902979566568 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.14541901600860820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.06170086790976610E-2 " " Order of pole (three term test) = 22.99954891302738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.65999999999986 " " y[1] (analytic) = 1.7396928209577833 " " y[1] (numeric) = 1.7396928209577813 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.14870936998237820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.05968304173854800E-2 " " Order of pole (three term test) = 22.998300192963068 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.66999999999986 " " y[1] (analytic) = 1.7346994666930977 " " y[1] (numeric) = 1.7346994666930957 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.15201594437270780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.05437016207613900E-2 " " Order of pole (three term test) = 22.996254298888392 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.67999999999986 " " y[1] (analytic) = 1.7297122324377305 " " y[1] (numeric) = 1.7297122324377283 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.28370835773126140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.04417094171865200E-2 " " Order of pole (three term test) = 22.99341450379743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.68999999999986 " " y[1] (analytic) = 1.7247331130188883 " " y[1] (numeric) = 1.7247331130188859 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.4161557146080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.027501910564901000E-2 " " Order of pole (three term test) = 22.989785350756545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.699999999999859 " " y[1] (analytic) = 1.719764100017951 " " y[1] (numeric) = 1.7197641000179487 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.42024749449639600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.00278994883073200E-2 " " Order of pole (three term test) = 22.985372645636406 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.709999999999859 " " y[1] (analytic) = 1.7148071809738668 " " y[1] (numeric) = 1.7148071809738643 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.4243529425787768000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.96847480370535500E-2 " " Order of pole (three term test) = 22.9801834478239 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.719999999999859 " " y[1] (analytic) = 1.7098643385881616 " " y[1] (numeric) = 1.7098643385881591 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.42847043420539080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.92301158542271200E-2 " " Order of pole (three term test) = 22.974226058928554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.729999999999858 " " y[1] (analytic) = 1.7049375499318862 " " y[1] (numeric) = 1.7049375499318835 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.56283452095170670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.86487323875575300E-2 " " Order of pole (three term test) = 22.967510009501737 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.739999999999858 " " y[1] (analytic) = 1.7000287856548133 " " y[1] (numeric) = 1.7000287856548106 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.56734714234503750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.7925529859788300E-2 " " Order of pole (three term test) = 22.96004604378988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.749999999999858 " " y[1] (analytic) = 1.6951400091972046 " " y[1] (numeric) = 1.6951400091972018 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.70285631178775150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10704566737390944 " " Order of pole (three term test) = 22.951846102545872 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.759999999999858 " " y[1] (analytic) = 1.69027317600446 " " y[1] (numeric) = 1.6902731760044571 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.70775937582398840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11599455465542313 " " Order of pole (three term test) = 22.942923303926495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.769999999999857 " " y[1] (analytic) = 1.6854302327449666 " " y[1] (numeric) = 1.6854302327449637 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.7126664800145390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1247578753936737 " " Order of pole (three term test) = 22.93329192250609 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.779999999999857 " " y[1] (analytic) = 1.6806131165314566 " " y[1] (numeric) = 1.6806131165314535 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.84969666032726850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13332161014488803 " " Order of pole (three term test) = 22.92296736644036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.789999999999857 " " y[1] (analytic) = 1.675823754146188 " " y[1] (numeric) = 1.6758237541461847 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 1.98748171795213980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14167205876029756 " " Order of pole (three term test) = 22.911966152816557 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.799999999999857 " " y[1] (analytic) = 1.6710640612702574 " " y[1] (numeric) = 1.6710640612702539 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.12601884101313840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14979586230345107 " " Order of pole (three term test) = 22.900305881229666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.809999999999857 " " y[1] (analytic) = 1.6663359417173536 " " y[1] (numeric) = 1.66633594171735 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.1320512808113680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15768002442166565 " " Order of pole (three term test) = 22.888005205626847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.819999999999856 " " y[1] (analytic) = 1.661641286672257 " " y[1] (numeric) = 1.6616412866722532 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.27170467777987240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16531193213741655 " " Order of pole (three term test) = 22.87508380446505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.829999999999856 " " y[1] (analytic) = 1.6569819739343907 " " y[1] (numeric) = 1.656981973934387 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.2780925460297110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1726793760264123 " " Order of pole (three term test) = 22.86156234922972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.839999999999856 " " y[1] (analytic) = 1.652359867166727 " " y[1] (numeric) = 1.6523598671667232 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.2844649998659460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17977056975006797 " " Order of pole (three term test) = 22.84746247136481 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.849999999999856 " " y[1] (analytic) = 1.6477768151503458 " " y[1] (numeric) = 1.6477768151503418 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.42557296103592060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18657416891113338 " " Order of pole (three term test) = 22.832806727667094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.859999999999856 " " y[1] (analytic) = 1.6432346510449465 " " y[1] (numeric) = 1.6432346510449425 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.4322776336958107000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19307928920230738 " " Order of pole (three term test) = 22.81761856420009 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.869999999999855 " " y[1] (analytic) = 1.6387351916556103 " " y[1] (numeric) = 1.638735191655606 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.5744534657324980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1992755238188094 " " Order of pole (three term test) = 22.80192227878538 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.879999999999855 " " y[1] (analytic) = 1.634280236706101 " " y[1] (numeric) = 1.6342802367060967 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.58147127941698750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2051529601070459 " " Order of pole (three term test) = 22.785742982131268 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.889999999999855 " " y[1] (analytic) = 1.6298715681189995 " " y[1] (numeric) = 1.629871568118995 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.72468836524694170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2107021954227417 " " Order of pole (three term test) = 22.76910655766099 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.899999999999855 " " y[1] (analytic) = 1.6255109493029594 " " y[1] (numeric) = 1.6255109493029547 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.86859753570112060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21591435217316557 " " Order of pole (three term test) = 22.752039620104796 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.909999999999854 " " y[1] (analytic) = 1.6212001244473662 " " y[1] (numeric) = 1.6212001244473615 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.87622523161053740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2207810920193844 " " Order of pole (three term test) = 22.73456947292202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.919999999999854 " " y[1] (analytic) = 1.6169408178246851 " " y[1] (numeric) = 1.6169408178246805 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.88380171495629300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22529462921582655 " " Order of pole (three term test) = 22.716724064621385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.929999999999854 " " y[1] (analytic) = 1.6127347331007755 " " y[1] (numeric) = 1.6127347331007709 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.8913227995408236000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2294477430658143 " " Order of pole (three term test) = 22.698531944049357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.939999999999854 " " y[1] (analytic) = 1.6085835526534464 " " y[1] (numeric) = 1.6085835526534418 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.89878427249482260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23323378947313822 " " Order of pole (three term test) = 22.680022214718072 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.949999999999854 " " y[1] (analytic) = 1.6044889368995285 " " y[1] (numeric) = 1.6044889368995239 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.90618189766779670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23664671157119313 " " Order of pole (three term test) = 22.661224488245924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.959999999999853 " " y[1] (analytic) = 1.6004525236307292 " " y[1] (numeric) = 1.6004525236307243 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.0522500581702950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23968104941267343 " " Order of pole (three term test) = 22.64216883698532 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.969999999999853 " " y[1] (analytic) = 1.5964759273585378 " " y[1] (numeric) = 1.5964759273585327 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.1989369997739910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2423319487043242 " " Order of pole (three term test) = 22.62288574591327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.979999999999853 " " y[1] (analytic) = 1.5925607386684426 " " y[1] (numeric) = 1.5925607386684375 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.2068013415587280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24459516857277294 " " Order of pole (three term test) = 22.60340606386198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.989999999999853 " " y[1] (analytic) = 1.588708523583718 " " y[1] (numeric) = 1.5887085235837126 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.35434123949919950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24646708834902506 " " Order of pole (three term test) = 22.583760954167296 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.999999999999853 " " y[1] (analytic) = 1.5849208229390355 " " y[1] (numeric) = 1.58492082293903 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5024557963923660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24794471336076002 " " Order of pole (three term test) = 22.563981844813988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.009999999999852 " " y[1] (analytic) = 1.5811991517641508 " " y[1] (numeric) = 1.5811991517641453 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5106995326505070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24902567972316916 " " Order of pole (three term test) = 22.544100378157726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.019999999999852 " " y[1] (analytic) = 1.5775449986779126 " " y[1] (numeric) = 1.577544998677907 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.51883155648681060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2497082581206662 " " Order of pole (three term test) = 22.524148360303982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.029999999999852 " " y[1] (analytic) = 1.573959825292834 " " y[1] (numeric) = 1.5739598252928284 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5268467682096033000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999135657342428 " " Order of pole (three term test) = 22.504157710225126 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.039999999999852 " " y[1] (analytic) = 1.5704450656304672 " " y[1] (numeric) = 1.5704450656304614 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.67612968730818670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24987452218431014 " " Order of pole (three term test) = 22.484160408696848 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.049999999999851 " " y[1] (analytic) = 1.5670021255478142 " " y[1] (numeric) = 1.5670021255478084 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.6842066988470440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24935794186342272 " " Order of pole (three term test) = 22.464188447135715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.059999999999851 " " y[1] (analytic) = 1.5636323821750029 " " y[1] (numeric) = 1.5636323821749971 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.69214643663262200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24844244202907773 " " Order of pole (three term test) = 22.444273776419777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.069999999999851 " " y[1] (analytic) = 1.5603371833644533 " " y[1] (numeric) = 1.5603371833644475 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.69994369781185800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24712948728571402 " " Order of pole (three term test) = 22.424448255773935 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.07999999999985 " " y[1] (analytic) = 1.5571178471517542 " " y[1] (numeric) = 1.5571178471517482 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.85019306274225900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2454211780808387 " " Order of pole (three term test) = 22.404743601802014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.08999999999985 " " y[1] (analytic) = 1.5539756612284663 " " y[1] (numeric) = 1.5539756612284603 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.85797826990189050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24332024734475974 " " Order of pole (three term test) = 22.385191337746928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.09999999999985 " " y[1] (analytic) = 1.5509118824270645 " " y[1] (numeric) = 1.5509118824270582 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.00876994260391750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24083005611848027 " " Order of pole (three term test) = 22.365822743060235 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.10999999999985 " " y[1] (analytic) = 1.5479277362182187 " " y[1] (numeric) = 1.5479277362182124 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.01649818168540230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23795458817674986 " " Order of pole (three term test) = 22.346668803361702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.11999999999985 " " y[1] (analytic) = 1.5450244162206246 " " y[1] (numeric) = 1.5450244162206184 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.02404575139935700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23469844365487477 " " Order of pole (three term test) = 22.327760160868866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.12999999999985 " " y[1] (analytic) = 1.542203083723571 " " y[1] (numeric) = 1.5422030837235647 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.03140740899677440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23106683168948308 " " Order of pole (three term test) = 22.30912706537611 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.13999999999985 " " y[1] (analytic) = 1.5394648672224394 " " y[1] (numeric) = 1.5394648672224331 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.03857799568902940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22706556208501658 " " Order of pole (three term test) = 22.290799325861354 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.14999999999985 " " y[1] (analytic) = 1.536810861967321 " " y[1] (numeric) = 1.5368108619673149 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.0455524435466156000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22270103601928404 " " Order of pole (three term test) = 22.272806262798134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.15999999999985 " " y[1] (analytic) = 1.534242129524932 " " y[1] (numeric) = 1.5342421295249258 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.05232578238873400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21798023580294104 " " Order of pole (three term test) = 22.25517666124902 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.169999999999849 " " y[1] (analytic) = 1.5317596973539997 " " y[1] (numeric) = 1.5317596973539933 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.20385361617054250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21291071370928374 " " Order of pole (three term test) = 22.237938724815713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.179999999999849 " " y[1] (analytic) = 1.5293645583942936 " " y[1] (numeric) = 1.5293645583942874 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.06524978218958700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20750057989222137 " " Order of pole (three term test) = 22.221120030519284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.189999999999849 " " y[1] (analytic) = 1.5270576706694634 " " y[1] (numeric) = 1.5270576706694572 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.0713910530800250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20175848941176097 " " Order of pole (three term test) = 22.20474748468279 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.199999999999848 " " y[1] (analytic) = 1.5248399569038407 " " y[1] (numeric) = 1.5248399569038344 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.07731244826826660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19569362838775764 " " Order of pole (three term test) = 22.18884727988697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.209999999999848 " " y[1] (analytic) = 1.5227123041533626 " " y[1] (numeric) = 1.5227123041533561 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.22883135918849350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1893156993040812 " " Order of pole (three term test) = 22.173444853067622 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.219999999999848 " " y[1] (analytic) = 1.5206755634507607 " " y[1] (numeric) = 1.5206755634507543 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2344953108956906000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1826349054867136 " " Order of pole (three term test) = 22.158564844821985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.229999999999848 " " y[1] (analytic) = 1.5187305494651602 " " y[1] (numeric) = 1.5187305494651537 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2399183614852450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17566193478060244 " " Order of pole (three term test) = 22.14423105998901 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.239999999999847 " " y[1] (analytic) = 1.516878040176222 " " y[1] (numeric) = 1.5168780401762156 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.24509642322848050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16840794245138993 " " Order of pole (three term test) = 22.130466429566734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.249999999999847 " " y[1] (analytic) = 1.5151187765629621 " " y[1] (numeric) = 1.5151187765629557 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2500255705585060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1608845333393667 " " Order of pole (three term test) = 22.11729297402752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.259999999999847 " " y[1] (analytic) = 1.5134534623073692 " " y[1] (numeric) = 1.5134534623073626 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.40141590980620450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.153103743294204 " " Order of pole (three term test) = 22.10473176809006 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.269999999999847 " " y[1] (analytic) = 1.5118827635129413 " " y[1] (numeric) = 1.5118827635129348 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.25912226677144070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14507801992016053 " " Order of pole (three term test) = 22.092802907004263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.279999999999847 " " y[1] (analytic) = 1.5104073084382543 " " y[1] (numeric) = 1.5104073084382477 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.41029258170016100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13682020266257172 " " Order of pole (three term test) = 22.081525474403172 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.289999999999846 " " y[1] (analytic) = 1.5090276872456652 " " y[1] (numeric) = 1.5090276872456585 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.41432467015198900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12834350226747618 " " Order of pole (three term test) = 22.070917511773235 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.299999999999846 " " y[1] (analytic) = 1.5077444517652565 " " y[1] (numeric) = 1.5077444517652498 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.4180816848318640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11966147964723943 " " Order of pole (three term test) = 22.060995989591746 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.309999999999846 " " y[1] (analytic) = 1.506558115274111 " " y[1] (numeric) = 1.506558115274104 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5689460518577957000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11078802418598806 " " Order of pole (three term test) = 22.051776780177704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.319999999999846 " " y[1] (analytic) = 1.505469152291007 " " y[1] (numeric) = 1.5054691522910002 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5722509439671420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10173733151955713 " " Order of pole (three term test) = 22.043274632299543 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.329999999999846 " " y[1] (analytic) = 1.5044779983866192 " " y[1] (numeric) = 1.5044779983866121 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7228522884487250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.25238808255014600E-2 " " Order of pole (three term test) = 22.03550314758014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.339999999999845 " " y[1] (analytic) = 1.5035850500092933 " " y[1] (numeric) = 1.5035850500092864 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5779803095497834000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.31624116595002200E-2 " " Order of pole (three term test) = 22.028474758737243 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.349999999999845 " " y[1] (analytic) = 1.502790664326475 " " y[1] (numeric) = 1.5027906643264681 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5804002620424750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.36679003752120500E-2 " " Order of pole (three term test) = 22.022200709693664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.359999999999845 " " y[1] (analytic) = 1.5020951590818457 " " y[1] (numeric) = 1.5020951590818388 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5825210946578326000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.40555361653042200E-2 " " Order of pole (three term test) = 22.016691037589514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.369999999999845 " " y[1] (analytic) = 1.5014988124682296 " " y[1] (numeric) = 1.5014988124682227 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5843411233611064000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.434069676198412000E-2 " " Order of pole (three term test) = 22.011954556724795 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.379999999999844 " " y[1] (analytic) = 1.5010018630163213 " " y[1] (numeric) = 1.5010018630163144 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5858589001638855000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.45389238359085800E-2 " " Order of pole (three term test) = 22.00799884445851 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.389999999999844 " " y[1] (analytic) = 1.5006045094992757 " " y[1] (numeric) = 1.5006045094992688 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5870732155621935000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.466589813282590000E-2 " " Order of pole (three term test) = 22.004830229086448 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.399999999999844 " " y[1] (analytic) = 1.5003069108532014 " " y[1] (numeric) = 1.5003069108531946 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5879831005787320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.47374143877279180E-2 " " Order of pole (three term test) = 22.00245377971726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.409999999999844 " " y[1] (analytic) = 1.500109186113589 " " y[1] (numeric) = 1.5001091861135822 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.44056886619621000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.476935605664321800E-2 " " Order of pole (three term test) = 22.000873298162993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.419999999999844 " " y[1] (analytic) = 1.5000114143676981 " " y[1] (numeric) = 1.5000114143676913 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5888869156222606000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.777669906495785600E-3 " " Order of pole (three term test) = 22.00009131285698 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.429999999999843 " " y[1] (analytic) = 1.5000136347229234 " " y[1] (numeric) = 1.5000136347229165 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5888801230446430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.221659496320143000E-3 " " Order of pole (three term test) = 22.00010907480889 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.439999999999843 " " y[1] (analytic) = 1.5001158462911524 " " y[1] (numeric) = 1.5001158462911455 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5885674561029854000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.521263535783658500E-2 " " Order of pole (three term test) = 22.00092655560341 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.449999999999843 " " y[1] (analytic) = 1.5003180081891205 " " y[1] (numeric) = 1.5003180081891136 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5879491648468546000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.51792742479696130E-2 " " Order of pole (three term test) = 22.002542447445634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.459999999999843 " " y[1] (analytic) = 1.5006200395547644 " " y[1] (numeric) = 1.5006200395547575 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5870257435175116000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.51056316705979250E-2 " " Order of pole (three term test) = 22.004954165253324 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.469999999999843 " " y[1] (analytic) = 1.5010218195795644 " " y[1] (numeric) = 1.5010218195795577 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.43786896423449540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.49758275713553150E-2 " " Order of pole (three term test) = 22.00815785079247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.479999999999842 " " y[1] (analytic) = 1.501523187556868 " " y[1] (numeric) = 1.501523187556861 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5842667031176110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.477407174232998000E-2 " " Order of pole (three term test) = 22.012148378849613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.489999999999842 " " y[1] (analytic) = 1.5021239429461688 " " y[1] (numeric) = 1.5021239429461617 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7302537123966454000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.44846890830291100E-2 " " Order of pole (three term test) = 22.01691936543113 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.499999999999842 " " y[1] (analytic) = 1.502823845453321 " " y[1] (numeric) = 1.5028238454533138 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7280507153901840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.40921446771953300E-2 " " Order of pole (three term test) = 22.022463177976256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.509999999999842 " " y[1] (analytic) = 1.5036226151266536 " " y[1] (numeric) = 1.5036226151266465 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7255390322807130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.35810686453592800E-2 " " Order of pole (three term test) = 22.028770947567534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.519999999999841 " " y[1] (analytic) = 1.5045199324689476 " " y[1] (numeric) = 1.5045199324689407 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5751356323875353000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.29362807333677400E-2 " " Order of pole (three term test) = 22.035832583119195 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.529999999999841 " " y[1] (analytic) = 1.5055154385652303 " " y[1] (numeric) = 1.5055154385652232 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.7195978039073040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10214281459755192 " " Order of pole (three term test) = 22.04363678752077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.539999999999841 " " y[1] (analytic) = 1.506608735226336 " " y[1] (numeric) = 1.506608735226329 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5687925416427966000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11118594174768512 " " Order of pole (three term test) = 22.052171075710014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.54999999999984 " " y[1] (analytic) = 1.5077993851481777 " " y[1] (numeric) = 1.5077993851481708 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.5651847457143724000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12005119510942452 " " Order of pole (three term test) = 22.061421794646385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.55999999999984 " " y[1] (analytic) = 1.5090869120866617 " " y[1] (numeric) = 1.5090869120866548 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 4.561289808787820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1287243921685446 " " Order of pole (three term test) = 22.071374145152962 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.56999999999984 " " y[1] (analytic) = 1.510470801048179 " " y[1] (numeric) = 1.5104708010481724 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.41010719513965900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1371916576599341 " " Order of pole (three term test) = 22.082012205591983 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.57999999999984 " " y[1] (analytic) = 1.5119504984955974 " " y[1] (numeric) = 1.5119504984955907 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.4057911647101030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14543944576506052 " " Order of pole (three term test) = 22.093318957336088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.58999999999984 " " y[1] (analytic) = 1.5135254125696662 " " y[1] (numeric) = 1.5135254125696598 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.25449978530143270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15345456178238984 " " Order of pole (three term test) = 22.10527631199445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.59999999999984 " " y[1] (analytic) = 1.5151949133257547 " " y[1] (numeric) = 1.5151949133257485 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.10326676998566340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1612241832360946 " " Order of pole (three term test) = 22.1178651403504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.60999999999984 " " y[1] (analytic) = 1.5169583329858205 " " y[1] (numeric) = 1.516958332985814 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 4.2448717297010280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16873588038927978 " " Order of pole (three term test) = 22.131065302964032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.61999999999984 " " y[1] (analytic) = 1.5188149662055108 " " y[1] (numeric) = 1.5188149662055046 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.0934867487074920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17597763612891018 " " Order of pole (three term test) = 22.144855682391057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.62999999999984 " " y[1] (analytic) = 1.520764070356293 " " y[1] (numeric) = 1.5207640703562868 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.08824028597957630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18293786519062769 " " Order of pole (three term test) = 22.15921421696616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.639999999999839 " " y[1] (analytic) = 1.5228048658224944 " " y[1] (numeric) = 1.5228048658224882 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 4.08276140787272030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1896054326927037 " " Order of pole (three term test) = 22.174117936097044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.649999999999839 " " y[1] (analytic) = 1.5249365363131386 " " y[1] (numeric) = 1.5249365363131326 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.9314451390026617000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1959696719494729 " " Order of pole (three term test) = 22.189542997012367 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.659999999999838 " " y[1] (analytic) = 1.5271582291884516 " " y[1] (numeric) = 1.5271582291884456 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.92572571616351840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20202040153575668 " " Order of pole (three term test) = 22.20546472290517 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.669999999999838 " " y[1] (analytic) = 1.529469055800905 " " y[1] (numeric) = 1.5294690558008992 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.77461688822969000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20774794157497053 " " Order of pole (three term test) = 22.221857642410487 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.679999999999838 " " y[1] (analytic) = 1.5318680918506649 " " y[1] (numeric) = 1.531868091850659 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.76870551633215600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21314312922486167 " " Order of pole (three term test) = 22.238695530354082 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.689999999999838 " " y[1] (analytic) = 1.5343543777552975 " " y[1] (numeric) = 1.534354377755292 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.6178833283917460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21819733333610217 " " Order of pole (three term test) = 22.255951449707116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.699999999999838 " " y[1] (analytic) = 1.5369269190335917 " " y[1] (numeric) = 1.5369269190335861 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.6118276375927380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22290246826028695 " " Order of pole (three term test) = 22.273597794679716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.709999999999837 " " y[1] (analytic) = 1.5395846867033356 " " y[1] (numeric) = 1.5395846867033303 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.4613688770909530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22725100678524565 " " Order of pole (three term test) = 22.29160633488426 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.719999999999837 " " y[1] (analytic) = 1.5423266176928982 " " y[1] (numeric) = 1.542326617692893 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.45521529426256360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23123599217697738 " " Order of pole (three term test) = 22.309948260498057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.729999999999837 " " y[1] (analytic) = 1.5451516152664424 " " y[1] (numeric) = 1.5451516152664369 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.5926022199242635000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23485104930894002 " " Order of pole (three term test) = 22.32859422835284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.739999999999837 " " y[1] (analytic) = 1.5480585494626042 " " y[1] (numeric) = 1.548058549462599 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.44242181282529260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23809039486089356 " " Order of pole (three term test) = 22.347514408877643 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.749999999999837 " " y[1] (analytic) = 1.5510462575464645 " " y[1] (numeric) = 1.5510462575464592 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.4357908362001960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24094884657097826 " " Order of pole (three term test) = 22.36667853381971 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.759999999999836 " " y[1] (analytic) = 1.554113544474625 " " y[1] (numeric) = 1.5541135444746197 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.4290097638922950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24342183152622887 " " Order of pole (three term test) = 22.38605594466728 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.769999999999836 " " y[1] (analytic) = 1.557259183373211 " " y[1] (numeric) = 1.5572591833732057 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.4220832184513710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24550539347825862 " " Order of pole (three term test) = 22.405615641696617 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.779999999999836 " " y[1] (analytic) = 1.5604819160286043 " " y[1] (numeric) = 1.5604819160285992 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.27272354829526050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24719619917241387 " " Order of pole (three term test) = 22.425326333564982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.789999999999836 " " y[1] (analytic) = 1.563780453390712 " " y[1] (numeric) = 1.5637804533907071 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.1238280909309790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24849154368026996 " " Order of pole (three term test) = 22.4451564873701 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.799999999999836 " " y[1] (analytic) = 1.5671534760885695 " " y[1] (numeric) = 1.5671534760885646 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 3.11710459944422700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24938935472693982 " " Order of pole (three term test) = 22.46507437909611 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.809999999999835 " " y[1] (analytic) = 1.5705996349580702 " " y[1] (numeric) = 1.5705996349580655 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.96888946083967650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24988819600627138 " " Order of pole (three term test) = 22.48504814436516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.819999999999835 " " y[1] (analytic) = 1.5741175515816148 " " y[1] (numeric) = 1.5741175515816102 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.96225443820285900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24998726947863173 " " Order of pole (three term test) = 22.505045829413664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.829999999999835 " " y[1] (analytic) = 1.5777058188394588 " " y[1] (numeric) = 1.5777058188394542 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.9555172122364720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24968641664759958 " " Order of pole (three term test) = 22.525035442211493 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.839999999999835 " " y[1] (analytic) = 1.5813630014725417 " " y[1] (numeric) = 1.5813630014725373 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.8082686229318210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24898611881352606 " " Order of pole (three term test) = 22.5449850036424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.849999999999834 " " y[1] (analytic) = 1.5850876366565725 " " y[1] (numeric) = 1.585087636656568 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.8016697599558630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24788749630355678 " " Order of pole (three term test) = 22.56486259866377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.859999999999834 " " y[1] (analytic) = 1.5888782345871384 " " y[1] (numeric) = 1.588878234587134 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.79498579679050600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24639230667934725 " " Order of pole (three term test) = 22.584636427363886 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.869999999999834 " " y[1] (analytic) = 1.5927332790756075 " " y[1] (numeric) = 1.5927332790756035 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.50939874312806070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2445029419253396 " " Order of pole (three term test) = 22.604274855835026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.879999999999834 " " y[1] (analytic) = 1.5966512281555851 " " y[1] (numeric) = 1.5966512281555811 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.5032410448633663000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24222242462209728 " " Order of pole (three term test) = 22.623746466780947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.889999999999834 " " y[1] (analytic) = 1.6006305146996773 " " y[1] (numeric) = 1.6006305146996735 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.35829459020015060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23955440311082088 " " Order of pole (three term test) = 22.64302010977786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.899999999999833 " " y[1] (analytic) = 1.6046695470463233 " " y[1] (numeric) = 1.6046695470463195 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.3523586464725021000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23650314565678113 " " Order of pole (three term test) = 22.66206495110847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.909999999999833 " " y[1] (analytic) = 1.6087667096364369 " " y[1] (numeric) = 1.6087667096364333 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.20834609363801060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23307353362100428 " " Order of pole (three term test) = 22.68085052308931 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.919999999999833 " " y[1] (analytic) = 1.6129203636596106 " " y[1] (numeric) = 1.612920363659607 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.20265907657066630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22927105365113554 " " Order of pole (three term test) = 22.69934677281259 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.929999999999833 " " y[1] (analytic) = 1.6171288477096162 " " y[1] (numeric) = 1.6171288477096128 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.05961886005112530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22510178890397475 " " Order of pole (three term test) = 22.717524110224407 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.939999999999833 " " y[1] (analytic) = 1.6213904784489463 " " y[1] (numeric) = 1.621390478448943 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.0542053984809710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22057240931372163 " " Order of pole (three term test) = 22.735353455462544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.949999999999832 " " y[1] (analytic) = 1.6257035512821263 " " y[1] (numeric) = 1.625703551282123 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.04875548881510830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21569016092150403 " " Order of pole (three term test) = 22.752806285378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.959999999999832 " " y[1] (analytic) = 1.6300663410375293 " " y[1] (numeric) = 1.6300663410375262 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.90705395890317820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21046285428325928 " " Order of pole (three term test) = 22.76985467916598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.969999999999832 " " y[1] (analytic) = 1.6344771026574232 " " y[1] (numeric) = 1.6344771026574203 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.76605708292410240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20489885197450902 " " Order of pole (three term test) = 22.786471363033225 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.979999999999832 " " y[1] (analytic) = 1.6389340718959695 " " y[1] (numeric) = 1.6389340718959666 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 1.76125441134195370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19900705521202344 " " Order of pole (three term test) = 22.802629753830242 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.989999999999831 " " y[1] (analytic) = 1.643435466024898 " " y[1] (numeric) = 1.6434354660248953 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.62132028557548960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19279688961377286 " " Order of pole (three term test) = 22.818304001578714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.999999999999831 " " y[1] (analytic) = 1.647979484546575 " " y[1] (numeric) = 1.6479794845465725 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.4821122939205590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1862782901199497 " " Order of pole (three term test) = 22.833469030825874 " " "NO COMPLEX POLE (six term test) for Equation 1" "Finished!" "diff ( y , x , 1 ) = sin ( x ) * cos ( x ) ; " Iterations = 991 "Total Elapsed Time "= 54 Seconds "Elapsed Time(since restart) "= 53 Seconds "Time to Timeout "= 9 Minutes 5 Seconds Percent Done = 100.2020202020185 "%" (%o226) true (%o226) diffeq.max