Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/expt_sin_linpostode.ode################# diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(0.2) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.0e0+/-0.50000000000000000000000000000005e-31 absolute error 0.0e0+/-0.50e-31 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 SETTING H FOR POLE NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.108698214338104313374251945178097e0+/-0.425e-29 Order of pole (ratio test) 0.9999999999999343376024244996892949e0+/-0.5e-31 Radius of convergence (three term test) for eq 1 0.100005194901544038751241963520517e0+/-0.18e-27 Order of pole (three term test) 0.9993522061452034055060600298245079e0+/-0.504e-25 Radius of convergence (six term test) for eq 1 0.2688920631049855237098972386374032e0+/-0.18e-16 Order of pole (six term test) -0.5331681444834495288947880720472e0+/-0.281e-20 Finished! diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; Iterations 10 Total Elapsed Time 28 Seconds Elapsed Time(since restart) 28 Seconds Time to Timeout 19 Minutes 32 Seconds Percent Done 0.1100057143916984426263661598725687e3+/-0.198e-24%