MCS 477 AAMU Numerical Analysis Lipschitz Constant and Initial Value Problems Question DescriptionProblem 1: Verify that y(t) = Ce?t + t2 ? 2t + 2 solves y0 = t2 ? y and find aLipschitz constant L for the rectangle R = { (t, y) : 0 ? t ? 3, 0 ? y ? 5 }. Problem 2:...