1. Use the method of undetermined coefficients to find the solution of the initial value problem y"ty=5x2e2x, y(0) = 1, y'(0) = 0. 2. Use the method of undetermined coefficients to determine the general solution to y" it) + y(t) = 2t cost. 3. Use the method of variation of parameters to find the general solutions of the following differ- ential equations. a y" +y = tan x sec x, - b y" + 4y' + 4y = e-2x Inx, x> 0