Numerical Methods for Differential Equations - MATLAB - please post correct, full, detailed solution! Thanks

2. Milne's fourth-order predictor-corrector method for the initial value problem y' = f(r,y), y(0) = yo is given by the formulas v = yn-3 + * 12 fm fn-1 + 2512] + *** (5)) von = Yn-1 + IF(In+1,90?) +4fn+fn] - hy(5)(8) where the terms proportional to h are the local truncation errors. (a) By applying the corrector of Milne's method to the model problem y = Ay, show that it leads to a differential equation of the form ayn+1 +byn + cyn-1 = 0 (1) where a, b, c are constants depending on and h. (b) Assume that the solution of (1) has the form yn = on where @ 70 is a constant, and determine the two roots of (1), 61, 62. The stability region for Milne's method is determined by 011