Use the Laplace transform to solve the given initial-value problem. y' − 2y = ?(t − 3),  y(0) = 0

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: Use the Laplace transform to solve the initial value problem. (a) y" – y' – 6y = 2, y(0) = 1, y'(0)…

A: Laplace transform

Q: By using method of Laplace Transform, solve the initial value problem of d²y dx2 dy 3 + 2y = e¬t dx…

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Q: Use the Laplace transform to solve the given initial-value problem. y' - y = 2 cos(9t), y(0) = 0…

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Q: Use the Laplace Transform to solve the given initial-value problem.   2y' + y = 0;  y(0)= -3

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

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Q: Use the Laplace transform to solve the given initial-value problem. y' - 2y = 5(t – 4), y(0) = 0…

A: The solution is given as

Q: use the laplace transform to solve the initial value problem y"+2y'+2y=cos(2t) with y(0)=0 and…

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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' + 5y = e", y(0) = 2 y(t) =

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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: Find the Laplace Transform of y in the differential equation (D2 + 5D + 3)y = 10 Assuming the…

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

A: To solve the following problem on lapace transform of differential equations

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 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 initial value problem. y" – y' – 6y = 2, y(0) = 1, y'(0) = 0…

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

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Q: Use the Laplace transform to solve the initial value problem y" + y' – 2y = e# with y(0) =1 and…

A: Given differential equation :

Q: Use Laplace transform to solve the initial-value problem,y′′+y=3; y(0)=1,y′(0)=1

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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 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" +y = 2 sin(2t), y(0) = 11,…

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Q: Solve the initial-value problem using Laplace Transforms. x'' + x = e^-t sin2t;   x(0) = 2, x'(0) =…

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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 differential equation dy x – 2y dx with the initial condition…

A: Solved below

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

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Q: Using the Laplace transform, solve the differential equation y" + 4y – 5y = e14t such that yo = y% =…

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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. Q y′+y =5et sint, y(0)=1.

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Q: Solve the initial value problem using a Laplace Transform. y "+ 2y' - 3y = sin (2x) ;      y (0) =…

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Q: use the Laplace transform to solve the initial-value problem y" + y = 6 + y(0) = 0,y'(0) = 0

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Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" -y - 2y = sin(4t), 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) = 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: Use the Laplace transform to solve the given initial-value problem. dy - y = 1, y(0) = 0 dt y(t) =

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Q: use the Laplace transform to solve the given initial-value problem. Q. y′+y =8e3t, y(0)=2.

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

A: Take Laplace transform on both the sides as follows.

Q: Use the Laplace transform to solve the initial-value problem y' + 3y = 13 sin2t, y(0) = 6

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Q: What is the initial value problem with the linear ordinary differential equation of the given…

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

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

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Q: Use the Laplace transform to solve the given initial-value problem. y''+2y'+y=0,    y(0)=1,…

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Q: y(T) dr = 4e' cos(2t) COS

A: The solution is given as

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)