diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0* x + 1.0 )+ ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ); ! Digits := 32; max_terms := 30; ! x_start := 0.1; x_end := 1.0 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_max_h := 0.00001; ! exact_soln_y := proc(x) return(expt(2.0*x+1.0,sin(x))); end;