1. A second-order differential equation x"+9x with initial conditions x(0) = 2 and x'(0) = 0
2. A first-order differential equation x' + 2x = e^-5t with no initial conditions ( x(0) = x'(0) = 0).
3. Given the differential equation x"+ 6x = f, where f(t) is the input function and x(t) is the response (output), find the transfer function X(s)/F(s).