Question 1.10 Establish an integral to determine the Laplace transform of f(t)=t+2 F(s) = L {f(t)} = Where A= & B= Find the indefinite integral (with a zero constant term) corresponding to the preceding section. Calculate suitable boundaries to compute the Laplace transform of f(t): F(s) = ₁ {f(t)} = Where is the Laplace transform you discovered valid? In other words, what constitutes the domain of F(s)?

Q: Ex. Find the Laplace transform for the functions 1-f (t) = sin't %3D 2-f (t) =t°e"

A: We have to use Laplace standard transformations.

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A: Let's find Laplace transform of given function.

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

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A: Given  f(t) =t cos ω t

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A: Let,

Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

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A: What is the Laplace transform of 7sin (6 t) sinh(6 t)

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Q: Question #8. Use the Laplace transform to solve x" + x² − 2x = 1 - 2t, x(0) = 6, x'(0) = −11.

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Q: Give the Fourier Transform for the following functions: (i) 108(t)

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