ENGR403 Control System Engineering and Inverse Laplace Transform Paper

Warnings:
(1) This is NOT a group or team work/test; NO; it is an individual work to do at
home. Any indication of copying someone else will result in zero.
(2) Show your work step-by-step.
(3) Write cleanly and neatly.
Question:
Solve:
1. Find the Laplace transform of the following function(s)
(a) f(t) = 6eˆ’^4t (t^2 + 3t + 5)
(b) f(t) = t^2e ^3t
(c) f(t) = e^2t sin(2t)
2. Find the inverse Laplace transform (zero initial condition(s))
(a) ÿ+ 9y = f(t) where f(t) is a step function.
(b) ÿ+ 2ẏ + y = 3te^ˆ’t

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