diff ( y , x , 1 ) = ( expt ( sin ( x ) , ( 2.0 * x + 1.0 ) ) ) * ( ( 2.0 * ln ( sin ( x ) ) ) + ( ( ( 2.0 * x + 1.0 ) * cos ( x ) ) / sin ( x ) ) ) ; ! Digits := 32; max_terms := 30; ! x_start := 0.1; x_end := 0.11 ; glob_max_h := 0.000001; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # glob_type_given_pole := 1; # Real Part array_given_rad_poles[1,1] := -2.0; # Imag Part array_given_rad_poles[1,2] := 0.0; # Order array_given_ord_poles[1,1] := 0.5; # Not Used array_given_ord_poles[1,2] := 0.0; ! exact_soln_y := proc(x) return(expt(sin(x),2.0*x+1.0)); end;