PROBLEM 1(15 %) Consider the following system depicted below Overall System a(t) SYSTEM A SYSTEM B y(t) The input-output relation for SYSTEM A is characterized by the following causal LCCDE dz(t) d c(t 2+62(t) dt and the impulse response hb(t) for SYSTEM B is defined as hb(t)=eu(t) Part a. What is the frequency response of the complete system? That is, given z(t)+→X(ju)andy(t)4 Y(u), determine H(w) HgPROBLEM 1 (15%) Consider the following system depicted below: x(t) z(t) SYSTEM A SYSTEM B y(t) Overall System The input-output relation for SYSTEM A is characterized by the following causal LCCDE: dz(t) dx(t) + 6z(t) = + 5x(t), dt dt and the impulse response hb(t) for SYSTEM B is defined as: hb(t) = e−10t u(t). Part a. What is the frequency response of the complete system ? That is, given F F x(t) �� X(j�) and y(t) �� Y (j�), determine H(j�) = Y (j�) . X(j�) H(j�) = 2