Using the Laplace transform, solve the IVP. y = y1 + 36u (t –- 2)e“, y½ = y1 +2y2, Y1 (0) = 0, y2 (0) = 4

Q: Find the Laplace transform of t² – 2t.

A: Here we have to find laplace of t2 - 2t,  Usind L {tn } = n! /sn+1

Q: Laplace transform L{k(t)} = -5{L(t2e-4t)}+L{sin(3t)}

A: We need to find the Laplace transform of the above.                       L{k(t)} =…

Q: Find the inverse Laplace transform of -8s F(s) = e s² - 18 - 12 f(t) = =. (Use step(t-c) for uc(t).)

A: The given problem is to find the Inverse Laplace transform of the given function F(S) to find the…

Q: - Find the Laplace transform of each given expression ( (1) 3 cos (2 t) e-2t + (t - 2)²

A: Since you have posted multiple questions, we will answer the first question for you. If you want any…

Q: Find the Fourier Transform of δ(t - 10) then solve for the following: Suppose r is a continuous…

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Q: Use Laplace Transform to solve Ø(t) + 2 * cos(t−7)ø(7)dt = e¯¹ for ø(t). -t 0

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Q: Find the Laplace transform of f(t) = te-5t.

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Q: Find the Fourier Transform X(w) of each signal x(t) given below. (a) x(t) = 1 + cos(3t) (b) x(t) =…

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Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: e-9s F(s) = g2 – 3s – 10 ||

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Q: %3D b)ë + 4x = t,x(0) = 1,x(0) = 0 %3D

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