Find the Laplace transform of the function f(t) = 2u1(t) + 2u3(t) – 3u4(t), where uc(t) denotes the Heaviside function, which is 0 for t < c and 1 for t > c. L{f(t)}

Q: f(t) = e cos2t dt

A: Using properties of Laplace transform we solve the given problem as follows :

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Q: determine the inverse Laplace transform of F.

A: Given:

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A: We have to use Laplace transform integration.

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Q: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

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Q: B: The Laplace transform of the; f(t) = e-t.sinh 3t

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

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Q: f(t) = e-2t-e-3t %3D t

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Q: Q1/ Find the Laplace transform of 1- f (t) = t² e cos 3t -2 x

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Q: Find the Laplace transform of the function f(t) = 2u1(t) + 4u3(t) – bu4(t), where uct) denotes the…

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Q: 1. Use the definition to find the Laplace transform of the given function t, f(t)={2-t, 1<t<2 0<t <1…

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Q: find the laplace transform of the 1VP: y"'-4y=" e^3+t, y=0=y'(0)=y"(0)=0

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A: Here given  f(t)=1

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A: Laplace transform of the form L(tkf(t))=(-1)kdkdskLf(t) Here, k=2, f(t)=cost From the identity,…

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Q: Find the Laplace transform of the given function: f(t) = (t – 4)u2(t) – (t – 2)u,(t), where uct)…

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Q: b) f(t) = t*e3t

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