Find the transfer function h and the impulse response

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Reference no: EM13285632

Given a system with input x(t) and output y(t) is described by the differential equation:
d3y(t)/dt3 + 7d2y(t)/dt2 + 12dy(t)/dt = dx(t)/dt + 4x(t)

a. Find the transfer function H(s) and the impulse response, h(t) where Y(s)=H(s)X(s)
b. Find the response, yb(t) with the input xb(t)=e-tU(t) and y(0)=dy(0)/dt=0.

Reference no: EM13285632

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