ve the differential equation using Laplace Transform and Inverse Laplace transform y" - 4y' + 4y = tet + 25 sint oject to the following conditions: y(0) = 1, and y (0) = 4 What is the Laplace transform of y? What is the solution of the differential equation?,

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A: dydx=x+1y

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A: The given differential equation is  d2xdt2+ 5dxdt + 4x = e-2t x(0) = 0,     x'(0) = 1

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A: Given solution is Ys = 5s2 +s -1s3 +9s  This can be written as Ys = 5s2 +s -1s s2 +9          = -19…

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A: solution

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Q: Solve the differential equation using Laplace Transform and Inverse Laplace transform y" – 4y' + 4y…

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Q: Q4\ Use Laplace transform to solve differential equation in figure below: dx + 3x = e dt -2t subject…

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A: Solution:Determine the solution to the differential equation using laplace transformy''-2y'+2y =…

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Q: Solve the differential equation by Laplace Transform Method ty" – ty' + y = 0 y(0) = 0 y'(0) = 1 %3D

A: The differential equation is given as: ty''−ty'+y=0,y0=0,y'0=1

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A: I am attaching image so that you understand each and every step.

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

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Q: Solve the differential equation using Laplace Transform and Inverse Laplace transform y" – 4y' + 4y…

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