Use all the Adams-Moulton methods to approximate the solutions to the following. In each case, use exact starting values and explicitly solve for Wᵢ₊ᵢ. Compare the results to the actual values.(a) y'= te^(3t) − 2y, 0 ≤ t ≤ 1, y(0)=0, with step size h=0.5, actual solution y(t) = (1/5) te^(3t) − (1/25) e^(3t) + (1/25) e^(−2t).(b) y'= 1 + (t − y)^2, 2 ≤ t ≤ 3, y(2) = 1, with step size h = 0.5, actual solution y(t) = t+[1/(1−t)].(c) y' = 1+y/t, 1 ≤ t ≤ 2, y(1) = 2, with step size h = 0.25, actual solution y(t) = t lnt+2t.