2) For the initial value problem y' = 1+ y/t, 1sts2, y(1) = 2, a) By using Euler's method with N = 4, find the general expression for the approximate solutions (wi+1 =?) b) By using the general...

Extracted text: 2) For the initial value problem y' = 1+ y/t, 1sts2, y(1) = 2, a) By using Euler's method with N = 4, find the general expression for the approximate solutions (wi+1 =?) b) By using the general expression wi+1, find the approximate solutions at t1, t2, ta and t4, (w,w,w.w=?). c) By using the exact solution y(t) = tln(t) + 2t, find the error at t3. d) Find an upper bound for error of Euler's method with N = 4. For i = 3, compute the upper bound of the error.