diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); ! Digits := 32; max_terms := 40; ! x_start := c(2.0); x_end := c(3.0) ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; #glob_min_h := c(0.001); glob_max_h := c(0.01); # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # glob_type_given_pole := 1; # Real Part array_given_rad_poles[1,1] := c(-2.0); # Imag Part array_given_rad_poles[1,2] := c(0.0); # Order array_given_ord_poles[1,1] := c(0.5); # Not Used array_given_ord_poles[1,2] := c(0.0); ! exact_soln_y := proc(x) # return(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))); return(c(20.0) * sqrt(c(0.1) * c(x) + c(0.2)) * cosh( sqrt(c(0.1) * c(x) + c(0.2))) - c(20.0) * sinh( sqrt(c(0.1) * c(x) + c(0.2)))); end;