f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

Q: Find the Inverse Laplace Transform 42 9s-30

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Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: Find the solution of the following differential equation. 1. (a? – 1) + 2y = (x +1)²

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Q: 1-e g(t) t

A: Given the given function is gt=1-ett. Apply formula Lftt=∫s∞fsds L1=1sLeat=1s-a log a-log b=logab

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

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Q: Derive the general formula for the Laplace transform of sin bt.

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Q: Derive the 1st Shifting Property from the defifinition of the Laplace transform.

A: First shifting property:If,

Q: L{ sin2(t-1) cos3rdt}

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Q: f (t) = eat+b

A: The solution is given below:

Q: Find the Laplace transform of tet-1u(t-1)

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Q: Find the general solution to the differential equation dy x²+5xy+x = 0 dx First, put the problem…

A: Step 1:Step 2:Step 3:

Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: Find the Laplace transform

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Q: Derive the laplace transform for f(t)= 3 e-St

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Q: Second Shift Theorem 5. Find the inverse Laplace transform for the following expression by Second…

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Q: COST dr

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Q: find the Laplace transform of cos3tcos5t

A: In this question, we use the trigonometric identity and then properties of Laplace transform. L…

Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: f(t) = 2t³ 2t³e-4t

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Q: sinudu

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Q: -St Find aG 2t? t te

A: As per the instruction, we will answer only the first one. So,…

Q: Write the formula for the first shift theorem of Fourier Transform. Find the Fourier Transform of…

A: Please find attachment for the details solution