diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = neg(diff (y2 , x,4)) ; ! Digits := 64; max_terms := 40; ! x_start := c(0.1); x_end := c(0.7); # # Trouble about Pi/4??? # 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_look_poles := true; glob_max_h := c(0.1); # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # glob_type_given_pole := 3; ! exact_soln_y1 := proc(x) return( cos(c(x)) ); end; exact_soln_y2 := proc(x) return( sin(c(x)) + c(10.0) * c(x) + c(10.0)); end; exact_soln_y2p := proc(x) return( cos(c(x)) + c(10.0)); end; exact_soln_y2pp := proc(x) return( neg(sin(c(x)))); end; exact_soln_y2ppp := proc(x) return( neg(cos(c(x)))); end; exact_soln_y2pppp := proc(x) return( sin(c(x))); end;