4. Use Laplace transform to solve the fowowing Initial -value problem : y" *y =hlt),ylo)=1,y'l=2 where

Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

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Q: Use the Laplace transform to solve the given initial-value problem. y'' + y = delta(t − 6pi) +…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + 3y = e-3t, y(0) = 2 y(t) =

A: Given : initial-value problem          y'+3y=e-3t ,   y0=2 To find : solution of IVP using Laplace…

Q: dy = et. dt Find the solution when y(0)=2 using the method of Laplace transform

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Q: a) Solve the initial value problem using Laplace transform I UTM UTM 26 sin 3t, y(0) = 3. UTM

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(2t), y(0) = 11,…

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Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the Laplace transform to solve the initial-value problem, у" — Зу' + 2у — sin(t); y(0) %3 0, у'…

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Q: 6. Use Laplace transforms to solve the initial value problem, 4t, 0<t<1 y' +2y = f(t), y(0) = 0,…

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Q: Use laplace transform to solve the initial value problem; a) y''+y=alpha(t-1/2pi)+alpha(t-3/2pi),…

A: Given                     y''+y=α(t-1/2π)+α(t-3/2π),and      y(0)=0,        y'(0)=0…

Q: Use laplace transform to solve the initial value problem; a) y''+9y=cos3t,y(0)=2, y'(0)=5.

A: We shall use Laplace and inverse Laplace transform to solve this

Q: Use the Laplace transform to solve the given initial-value problem. y + 4y= est, y(0) = 2

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 2y" – y' - 2y = sin(4t),…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(V2t), y(0) = 11,…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(/2t), y(0) = 11,…

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Q: use the Laplace transform to solve the given initial-value problem. dy di -Y= 1 P. | У(0)-0

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Q: Use laplace transform to solve the initial-value problem; a) y'+y=B(t-1), y(0)=2

A: Given below the detailed solution

Q: Use the Laplace transform to solve the given initial-value problem. y" – y' = e° cos t, y(0) = 0,…

A: To solve the initial-value problem y''-y'=etcos t...(1) y(0)=0, y'(0)=0

Q: use the Laplace transform to solve the given initial-value problem. Q y′−y =5sin2 t, y(0)=−1.

A: Given Data The differential equation is y’-y=5sin2t. y(0)=-1.   Using Laplace transform on the given…

Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2 y(t) %3D

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Q: 5. Use Laplace transform technique to solve , y"-y'-6y = 0, Given y(0) =1 and y'(0) = -1

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Q: Use the Laplace transform to solve the initial value problem y" – 2y' – 8y sin 3t, y(0) = 0, y'(0) =…

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Q: 10. Use the method of Laplace transform to solve the initial value problem y" – 2ay + (a? + B²)y =…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(2t), y(0) = 11,…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - y' = e° cos t, y(0) = 0,…

A: Using Laplace inverse we can find the solution of given differential equation

Q: Use the Laplace transform to solve the given initial-value problem. y(t) 11 y""+ 2y" - y' - 2y =…

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Q: Use the Laplace transform to solve the initial value problem y" + 4y = e2t, y (0) = 1, y' (0) = -1.

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) y""+ 2y"-y' - 2y = sin(4t),…

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Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" – y' - 2y = sin(3t),…

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Q: Use the Laplace transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1,…

A: The differential equation is given as : y''-2y'+2y=cos ty(0)=1y'(0)=0 The objective is to find the…

Q: use the Laplace transform to solve the given initial-value problem. Q y′+y =5et sint, y(0)=1.

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Q: y" + 2y' + y = 6 sin t – 4 cos t, y(0) = -1, / (0) = 1

A: The given initial value problem is y''+2y'+y=6sint-4cost, y0=-1, y'0=1. First we apply Laplace…

Q: d?y = v2sin/2t; with y(0) = 10, y(1)(0) = 0 %3D dt2

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Q: Use Laplace transform to solve the initial-value problem,y′′−2y′+y=et; y(0)=0,y′(0)=3

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(2t), y(0) = 11,…

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Q: Use the Laplace transform to solve the given initial-value problem. y"+y= √2 sin(√2t), y(0) 13,…

A: Solution:-

Q: 13. Use the Laplace transform to solve the following differential eguation y" + 4y/-5y 10 with y(0)…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 2y" – y' - 2y = sin(3t),…

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Q: 5. Use Laplace transform technique to solve v"-y'-6y = 0, Given v(0) = 1 and y'(0) = -1

A: Solution: The objective is to find solution to the given differential equation using Laplace…

Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: 5. Use Laplace transform technique to solve, y" 3y' 2y 0, given y(0) I and y'(0) 0

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Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = ett, y(0) = 2 y(t) =

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Q: Use the Laplace transform to solve the given initial-value problem. y"+y= /2 sin(/2t), y(0) = 9,…

A: Given differential equation is y''+y=2sin2t                      (1) with initial condition y(0)=9,…

Q: 9. Solve the IVP using Laplace transform: x' – x = 2cos5t, with x (0) = = 0.

A: Given equn isx'-x=2 cos 5t with x0=0taking both the side laplace transformation we get…

Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e2t - 2e-t, y(0) =…

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Q: Use the Laplace transform to solve the initial value problem. y''+ 36y = sin(6t), y(0) = 1, y'(0) =…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) = 9,…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

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

Q: 4. Use Laplace transform technique to solve, y"+2y'+y=4e given y(0) = 2 and y'(0) = -1

A: We have to find general solution of given differential equation using Laplace transform Method.

Q: Solve the initial value problem by using the Laplace transform. y"-5y +6y=4 sin 3r, y(0)=0 and y'(0)…

A: We know L{ y"(t) } = s^2 y(s) - sy'(0) -y(0)  L{ y'(t) } = s y(s) - y(0)