1, = hf(x , yn) = k, 12 = hf (*n + 5. yn+}) 13 = hf(X,, + h, yn + 212-1,) (9.22) yn+ 1 = yn+ z (1, +412 + 13) For Runge-Kutta Method of Order 3 m = hf(x , y) = = k, my = hf (Xn +5 . yn +_) = 12 m; = hf(x, +. yn+ 2) (9.23) m4 = hf(X,+ h, y, + my) yn+1 = yn+z(m, +2m, + 2my + my) For Runge-Kutta Method of Order 4 Example 9.2 Compute the approximate value of y at x = 0.2 from the solution y(x) of the differential equa- tion y' = x+yz (9.24) given the initial condition y(0) = 1. Use order 2, 3, and 4 Runge-Kutta methods with h = 0.2