Find the Laplace transform, F(s) of the function f(t) = − 9t¹ + 6 sin(3t), t > 0 F(s) = s > O

Q: Find the Laplace transform of f(t) t sin(2t) dr F(s) =

A: We use the table of Laplace transform to solve the given question.

Q: Use the Laplace transform to solve the difference equation 3x(t) — 4x(t − 1) = 1, x(t)=0 for t < 0.

A: Given: The difference equation, 3xt-4xt-1=1, xt=0 for t&lt;0   To solve: The given difference…

Q: Find the Laplace transform of the function f(t) = 3tª — sin(8t), t > 0. F(s) = S> 0

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Q: L Find the Laplace transform F(s) = {f(t)} of the function f(t) = et-2h(t-2), defined on the…

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Q: Find the Laplace transform of f(t) = cos(2t) * u

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Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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Q: Calculate the Laplace transform of the expression f(t) = sin tu(t – 2n) -

A: Given function: We have to calculate the Laplace transform of the given function.

Q: 3 3 e. f(t) 5 sin2t *cos2t e-'cos2t - 10

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Q: S(1) = >1

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Q: Find the inverse Laplace transform of F'(s) f(t) = = 6s - 16 s²4s +3

A: The given problem is to find the inverse Laplace transform of the given function F(s). Given F(s)…