H1(s) = 1000/[(s^2)+s+1000] from system, (d^2)y(t)/d(t^2) + dy(t)/dt + 1000 y(t) = 1000 x(t); a) Get H2(s) from the following system:

H1(s) = 1000/[(s^2)+s+1000]from system, (d^2)y(t)/d(t^2) + dy(t)/dt + 1000 y(t) = 1000 x(t);a) Get H2(s) from the following system:dy(t)/dt + y(t) = 2x(t); t greater than or equal to 0b) Get the impulse response of the cascaded system using both time domain and Laplace domain analysisc) Compute the output y12(t) when input isx(t)=(cost+cos10t)U(t)then plot the input and output signals.Thanks for the help! This is the last set of problems. I'll try to tip you after this one.