diff ( y , x , 1 ) = arccos(sqrt(0.1 * x + 0.2)); ! Digits := 32; max_terms := 30; ! x_start := 0.0; x_end := 0.5 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; glob_max_h := 0.0001; ! exact_soln_y := proc(x) return(10.0 * (0.1 * x + 0.2) * arccos(sqrt ( 0.1 * x + 0.2)) - 5.0 * sqrt( 0.1 * x + 0.2) * sqrt( 0.8 - 0.1 * x) + 5.0 * arcsin(sqrt( 0.1 * x + 0.2))); end;