A causal and stable LTI system S has the frequency response H(jw)=6w2+5jwjw+4 (a) Determine a differential equation relating the input x(t) and output y(t) of S. (b) Determine the impulse response h(t) of S. (c) What is the output of S when the input is x(t)=e4tu(t)te4tu(t)? In the system shown in Figure two functions of time, x1(t) and x2(t)4 are multiplied together, and the product w(t) is sampled by a periodic impulse train. x1(t) is band limited to 1, and x2(r) is band limited to w2; that is