Solution Found!
Consider an LTI system with input x(t) = e-t u(t) and impulse response h(t) = e-2t u(t)
Chapter 9, Problem 9.29(choose chapter or problem)
Consider an LTI system with input x(t) = e-t u(t) and impulse response h(t) = e-2t u(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).
Questions & Answers
QUESTION:
Consider an LTI system with input x(t) = e-t u(t) and impulse response h(t) = e-2t u(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).
ANSWER:Step 1 of 5
(a)
Applying Laplace transform for ,