Sorry for the long problem. There are more parts to this problem, but I'll ask it as another problem since it seems too long.

Sorry for the long problem. There are more parts to this problem, but I'll ask it as another problem since it seems too long. Again, thank you so much for the help!The system of interest is the following:(d^2)y(t)/d(t^2) + (B1)dy(t)/dt + (C1)y(t) = (A1)x(t);t greater than or equal to 0.where A1 = 1000, B1 = 1, C1= 1000. We denote this system by H1. Here, t is in seconds.a) Derive the System Function H1(s), the Impulse Response Function h1(t) and the unit step response g1(t) for the system H1.b) Sketch amplitude and phase spectrum of H1(iw), h1(t), and g1(t)c) Assume the input x1(t) to H1 is given byx1(t) = 1, when 0<=t<=10secondsx1(t) = 0, otherwise.Compute the output y1(t).d) Assume the input x2(t) to H1 is a periodic signal with period T = 20sec, given byx2(t) = 1, when 0<=t<=10secondsx2(t) = 0, when 10<t<=20seconds.Compute the output y2(t).

The system of interest is the following:(d^2)y(t)/d(t^2) + (B1)dy(t)/dt + (C1)y(t) = (A1)x(t);t greater than or equal to 0.where A1 = 1000, B1 = 1, C1= 1000. We denote this system by H1. Here, t...