Solve the given symbolic initial value problem. у'+ 9y'+ 20y 3D е ""6(t-3); у(0) 3 2, у'(0)%3 - 9 y(t) = ||

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Q: メ - Hx = 8 ; t-0,メ=? %3D

A: Given x.-4x=8  at t = 0 , x = 2

Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

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Q: Solve the laplace transform Z(cos (at)sinh(at)

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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: Find the Laplace transforms of the functions. f(t) = 3t^5/2 - 4t^3

A: Laplace transferom of the function

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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Q: Find Fourier transform for f(t)=t^3-2t

A: Given function f(t)=t3-2t. To find Fourier transform of f(t). By property of Fourier transform,…

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Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: Fis)-S-65-15 -359

A: Solution is given below:

Q: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: Solve the Laplace transform of: 4 sinh 3t + 3 cosh 3t

A: Introduction: The Laplace transformation of sinh(at) and cosh(at) is given by,…

Q: Use Properties of the Laplace Transform to find £{sin³/}

A: Step 1: Step 2:

Q: Find the Laplace Transform L (e-t sin t)

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Q: Find Lf" sin /6t-r'e"}

A: Please see below

Q: Exercise 13 The Laplace transform of fie) - siat - 2U-2 is

A: Here we will use Laplace transform method.

Q: Find the inverse laplace of ( s + 18 )/( s^2 + s - 6 )

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Q: Using second-shifting theorem find, F(s) where f(t) = e-4t sin 3t

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Q: Find the Laplace transforms of the functions. f(t) = Cos^2(2t)

A: Let ft=cos22tTo find: Laplace transform of the function ft.

Q: 1. (10 + 7i )®

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Q: Find Laplace transform f(t) = 1- cost 1-cos3t f(t) = te sin at -3t

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Q: What are Practical uses of laplace transform in th efieldof engineering

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