diff ( y , x , 1 ) = arccos(sqrt(0.1 * x + 0.2)); ! Digits := 32; max_terms := 30; ! x_start := c(0.0); x_end := c(0.5) ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_h := c( 0.001); # glob_min_h := 0.000001; # # 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(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))); return(c(10.0) * (c(0.1) * c(x) + c(0.2)) * arccos(sqrt ( c(0.1) * c(x) + c(0.2))) - c(5.0) * sqrt( c(0.1) * c(x) + c(0.2)) * sqrt( c(0.8) - c(0.1) * c(x)) + c(5.0) * arcsin(sqrt( c(0.1) * c(x) + c(0.2)))); end;