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1 find laplace transforms of the following

1. Find Laplace transforms of the following functions, where a, b, and c are constants.

a. a + bt + ct²

b. asin(2t)

c. e^-3t

2. Find f(t) if F (s) = L (f) is as follows

54_Laplace transformation to solve the initial value problem.png

3. Use Laplace transformation to solve the initial value problem

y'' + 5y' + 4y = 0.

Given y(0) = 3 and y' (0) = 1

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