consider an LTI system with input and impulse response h(t) = (a) Determine the Laplac...

consider an LTI system with input and impulse response h(t) =

(a) Determine the Laplace transforms of x(t) and h(t).

(b) Using the convolution property, determine the Laplace transform Y(s) of the output y(t).

(c) From the Laplace transform of y(t) as obtained in part (b), determine y(t).

(d) Verify your result in part (c) by explicitly convolving x(t) and h(t).