the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

Q: t* t1

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Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

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Q: Find the Laplace transform of f(t) = = = F(s) (3[e^(-9s)+e^(-8s)])/(s^(2)+pi^(2)) 0, 3 sin(at), 0, t…

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Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: LAPLACE derivative of transform                  f(t) =      {cost      t>= π/2

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Q: ind the Laplace transform and inverse Laplace transform for the given function (a) f(t)=41²-2e"…

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Q: Given an Transform of a function f(s). Find x equation L-(f(s)) = xLf (s - a)} where L^-1 is the…

A: To solve the Laplace and inverse Laplace equation using formulas.

Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: If we call the Fourier transform of x(t) as X (w), what will be the Fourier transform of (e^bt)x(t)

A: Given: It is given that the Fourier Transform of xt is Xω. To find: We have to find the Fourier…

Q: 6. Evaluate * у" + 9у 3 0; у(0) — 2 , у'(0) %3D 9 2cos3t + 9sin3t 2cos9t + sin9t А. В. 2cos3t +…

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Q: xct) = 3(t/4) e

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Q: Given the function f(t)=e^{2t}sin(3t), find the Laplace Transform, F(s).

A: The Laplace Transform is a tool used to transform a function of a real variable t (usually time)…

Q: Use partial fractions to find the inverse Laplace transform of the following function. F(s) =…

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Q: Inverse Laplace Transform F(s) = (5(s + 5))/(s(s + 2)(s ^ 2 + 2s + 10))

A: We have to find the inverse Laplace transform of the function . Forthis, we have to write the…

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

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Q: The Laplace Transform of

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Q: Evaluate L{t sin kt} (Use the Derivatives of Transform)

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: Use the definition of the Laplace transform to find ℒ{f(t)} for f(t) = 2e^−3t Find the domain of the…

A: The explanation of the solution as follows:

Q: Find the Laplace Transform of the function f(t)= e-t ^ sin ^ wt

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Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

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Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution: