3 TCO 7 Apply the classical RungeKutta method to solve the f

3. (TCO 7) Apply the classical Runge-Kutta method to solve the following initial value problem y

In using the Runge - Kutta formulas, we note that f(x,y) = 1+y, x0 = 0, and y0 = 1. Choosing h = 0.1, we have m1 = [2(0) + 1] = 1.0 m2 = [2(0 + 0.1/2) + (1 + 0.1(1.0)/2)] = 1.15 m3 = [2(0 + 0.1/2) + (1 + 0.1(1.15)/2)] = 1.15 m4 = [2(0 + 0.1) + (1 + 0.1(1.15))] = 1.31 Hence y(0.4) = 1 + (0.1)[1.0 + 2(1.15) +2(1.15) + 1.31]