QUESTION 2 2.1) Find a particular solution of the nonhomogeneous differential equation y"(x) - 2y'(x) -10y(x) = 2 cos(3x) + 5e5x + 2 (7) 2.2) Find the Laplace transform of f(t) = 3t e2t + et sin (3t) (3) 2.3) If G(s) = -2 1+e-25 52 +4 , find L-1{G(s) } (4) 2.4) Solve the IVP using Laplace transform: y"(t) - 3y'(t) - 10 y(t) = 0 (12) with y(0) = -1, y'(0) = 4