2. Undetermined Coefficients: (a) Given the non-homogeneous differential equation y" + 2y' + 5y = f(t), provide the form of Up for the following expressions for f(t). You need not determine values of unknown coefficients. i. f(t) = 2+3 - 3t ii. f(t) = 2 sint iii. f (t) = tet (b) Given the nonhomogeneous differential equation y" - by' + 9y = f(t), provide the form of Up for the following expressions for f(t). You need not determine values of unknown coefficients. i. f(t) = e-t + sint ii. f (t) = te3t