An RC circuit is shown in Figure 2. Assume that the voltage at the capacitor at t 0 is 0. (a) Find the system transfer function H(s) using the Laplace transform. (b) Determine the impulse response h(t) of the system. (c) Is this system stable? R = 2M2 x(t) C =lF y(t) Figure 2. RC circuit (d) The following differential equation describes a Linear System 2(t) + 3y(t) + 4y(t) = 2x(t)- x(t) (Assume zero initial conditions). Determine the transfer function. (e) Find the system impulse response.