diff ( y2 , x , 4 ) = y1 - 1.0 ; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! Digits := 32; max_terms := 40; ! x_start := 0.1; x_end := 1.4; # # Trouble about Pi/2 # 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)); glob_look_poles := true; # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # glob_type_given_pole := 3; ! exact_soln_y1 := proc(x) return(1.0 + sin(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;