diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! Digits := 32; max_terms := 30; ! x_start := 0.0; x_end := 5.0; diff(y1,0,exact_soln_y1(x_start)); diff(y2,0,exact_soln_y2(x_start)); diff(y2,1,exact_soln_y2p(x_start)); diff(y2,2,exact_soln_y2pp(x_start)); diff(y2,3,exact_soln_y2ppp(x_start)); diff(y2,4,exact_soln_y2pppp(x_start)); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; ! exact_soln_y1 := proc(x) return(1.0 + cos(x)); end; exact_soln_y2 := proc(x) return(1.0 + sin(x)); end; exact_soln_y2p := proc(x) return( cos(x)); end; exact_soln_y2pp := proc(x) return( -sin(x)); end; exact_soln_y2ppp := proc(x) return( -cos(x)); end; exact_soln_y2pppp := proc(x) return( sin(x)); end;