(1 ) Solve the given equation b the method of undetermined coefficients yo - 1 by = - 8e- 4 x + 5x? ( 2) Solve differential equation y" + 3 y' = 8 x 2 - 4e box ( 3) The function yo is particular solution to the / Pill specified nonhomogeneous equation. Find the unique Solution satisfying equation y" - by' + loy = 4 ex (cosxf sinx) , yp = ex cosx, y(D) = 0 ye (0 ) = 1 ( 4) Suppose L = 20 henrys, R= so ohms, C= 1/200 farads, E = so volts, q (0)= 5 coulombs, and a (0)= 1 (0)= 0- Formulate and solve an initial value problem that models the given LRC circuit. Give exact answer, using radicals as needed