Question: dy dx Consider the initial value problem = f(x,y) with y(x) = yo. Ralston's method, a 2nd-order Runge-Kutta method, estimates Ym+1 from ym as

dy dx Consider the initial value problem = f(x,y) with y(x) =

dy dx Consider the initial value problem = f(x,y) with y(x) = yo. Ralston's method, a 2nd-order Runge-Kutta method, estimates Ym+1 from ym as follows: 1 Ym+1 = ym +(k + 2k). h with k = f(xm. Ym) and k = f(xm + m + / h, ym + = kh). Use Ralston's method to calculate y, for dy = f(x, y) = 4e0.8x -0.5y dx starting from xo = 0, yo = 2. Use a step size of h = 0.20.

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