Problem 2. (10 POINTS). REDUCTION OF ORDER, VARIATION OF PARAMETERS. Consider the following IVP: Sty"-2y=3t2-1, t21, y(1)=3, '(1)=0. (a) (4 points) Given that y(t) = t2 is a solution of the homogeneous ODE ty" - 2y = 0, use reduction of order to find a second linearly independent solution y2(t) of (3). (2) (3) (b) (5 points) Given y1(t) = t2 and y2(t) from part (a), use variation of parameters to find a particular solution y,(t) to the original ODE (2). (c) (1 point) Using results from parts (a) and (b), find the solution of IVP (2).