Find the inverse Laplace transform of F(s) = -8s 4e s² +9 f(t) = (Notation: write u(t-c) for the Heaviside step function uc(t) with step at t = c.)

Q: L-1{ 1 (s2+1)(s2+4s+8)

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Q: Find the inverse fourier transform of f (p) =e

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Q: Sketch the graph of the function below and determine its Laplace transform. u(t - 5) - u(t - 10)

A: We have to find Laplace transform of given function and sketch the graph:

Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: the Laplace transform of the fure

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Q: y = x²sin (3x)

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