(a) Consider the system described by the differential equation 0.5y(t) + y(t) = 2u(t), where u(t) and y(t) are the input and the output of the system, respectively. Assume the initial condition y(0) = 0 and the input is u(t) = u(t), which is the unit step function. Find the time response function y(t), t0. (20%) (b) Plot the time response function y(t) versus time t, and specify the initial value y(0), the time constant & the value of y(t), and the steady-state value of y () on the graph. (20%) y(t) "