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

Q: Solve the differential equation y" + 4y' + 3y = e-t, y(0) = 1; y'(0) = 0 %3D %3D using Laplace…

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Q: Use the Laplace transform to solve the following initial-value problem for a first-order equation.…

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Q: (x' = x- 2y V = 5x – yi x(0) = -1, y(0) = 2. %3D %3D %3D %3D

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

A: The given differential equation is

Q: Use convolution and Laplace transform to evaluate y''+y=sin(t) , y(0)=1 , y'(0)=-1

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

A: To apply Laplace transform technique to obtain the solution of the given initial value problem

Q: secx 1 Given g(x) : z dt , find g'(x). t2

A: gx = ∫7sexcx1t2dt           = ∫7sexcx t-2 dt        = t-2+1-2+7secx      =t-17secx-1 = secx-1-7-1-1…

Q: 3. 2y" + Зу" — Зу' — 2у %3D е-t, con y(0) 3D 0, у'(0) — 0, у" (0) %3 1

A: Given: 2y'''+3y''-3y'-2y=e-t, y(0)=0=y'(0), y''(0)=1 To find: Solution of given differential…

Q: Use the Laplace transform to solve the given initial value problem. y"-8y'-84y=0; y(0)=7, y'(0)= 18…

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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: 10) Use the Laplace transform to solve the given initial-value problem. y'-y = 2 cos (3t) when y(0)…

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Q: Solve the IVP using Laplace Transform y" = y + 2y, y(0) = -2, y (0) = 3.

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Q: Solve the DE using Laplace transform. y" – by' + 13y = 0, y(0) = 0, y'(0) = -3

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Q: Solve using Laplace transform y" - y = e' cost, y(0)= 0, y'(0)=0

A: Solve the differential equation by using lapalce transformation

Q: Let Y(s) be the Laplace transform of y(t). Find the equation satisfied by Y(s) when solving the…

A: Introduction: The Laplace transformation is a very important tool in solving an initial value…

Q: y = sin 3t dt – y

A: Calculated integration and the applied laplace transformation in both sides

Q: Consider the following initial-value problem. y' - y = 2 cos(3t), y(0) = 0 Find L{f(t)} for f(t) = 2…

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Q: y" + 9y = 5t + 2, y(0) = 2 y'(0) = -1 |

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Q: y" +9y = t²; y(0) = y'(0) = 0

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

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Q: Find dy/dx by implicit differentiation. x4/3 + y4/3 = 1

A: Given that: x4/3+y4/3=1

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 given initial-value problem. y' + 5y = ett, y(0) = 2 y(t) =

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Q: Use the Laplace transform to solve the initial value problem ty''+(4t-2)y'+(13t-4)y=0,y(0)=0,y'(0)=0

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