Consider the following IVP: y 0 = 2 t y + t 2 , y(1) = 0 (a) Solve the above IVP exactly. (b) Use Euler's method to find approximation for y(2) with h = 0.5. Find the error at t = 2 : y(2) w2. (c) Use the second order Tylor's method to find approximation for y(2) with h = 1. Find the error y(2) w1. (d) Use Trapezoid method to obtain w1 with h = 1. Find the error y(2) w1.