Find the Laplace transform of the equation y"- 2y+y= e*, y (0) = 0, y' (0) = 0 1 3-4s2+5s-2 g3-552+4s-2 1 3+5s2-4s+2 3+452 -5s+2

Q: Use Laplace transform technique to solve y +2y +2y=e¯, y(0) = - 3, y'(0) = 2

A: Given: y''+2y'+2y=e-t and y(0)=-3 ,y'(0)=2 Apply Laplace transform on both sides…

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Q: 2. L{ 2y" + y' – 5y = e“ }; when y(0) = 2, y'(0) = 1 %3D

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Q: b) Using Laplace transform, solve the system UTM UTM dr dt -y = 1, UTMUTM dt dy given that r(0) =-1…

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Q: Use Laplace transform to solve: du ди -x = 0; u(x,0) = e*, u(0,t) = 0. at %3D %3D ax

A: Solution

Q: Use Laplace transform technique to solve y+2y+2y = et, y(0) = - 3, y'(0) = 2

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Q: Solve by Laplace transform method. y '"-3 y '+2 y = 4 , where y(0) = 2; y'(0) = 3.

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Q: Find the Laplace transform of the equation: y′′+y′−3y=e-2t when y(0)=0, y′(0)=0

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Q: Determine the Laplace transform of e-5t sinh(6t) · е s+5 s2 – 10s–11 6. s2 – 10s-11 s+5 10

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Q: Use Laplace transform technique to solve y+2y +2y=e"! y(0) = -3, y (0)= -3

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

Q: Q5. Find the Laplace Transform of the funcetions x(t) and yit), which satisfy the coupled first…

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

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Q: What is the value A 4B for Y(a)= which is Laplace transform of the solution of initial value 16…

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Q: Find the Laplace Transform of y" +2y' – 3y = 0 with the initial condition that y(0) = 2 y'(0) = 1…

A: Laplace transformation problem....

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Q: . Find the laplace transform of the 1VP: y" - 4y = et + t, y = y'(0) = y" (0) = 0

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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Q: 2. Use Laplace transform to solve with y(0) = 1 and y'(0) = 0. y" + 2y' + 2y = 8(t = π)

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A: Solution

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A: Given differential equation is  y''+25=cos(5t) with initial conditions y(0)=3 , y'(0)=2 we have to…

Q: Use Laplace transform technique to solve y" +2y +2y= e-, v(0) = – 3, y'(0) = 2

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Q: Compute the Laplace transform of integrate t to 0 te ^2t sin 2t dt

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Q: у"+ 2y' + 5у %3D0, у(0) — — 1, у'(0) %3D

A: We have to solve the initial value problem y''+2y'+5y=0,  y(0)=-1, y'(0)=6

Q: Solve X'= %3D 1 2. 人 2. Given use %3D -2-2 Laplace TransForm OF A to Compute At.

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Q: Determine the Laplace Transform of e 12 cos v 7t + sinV5 - 3

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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Q: 2) Sólvé thẻ điffèréncé équation using z-transform yk+2 - 3 Yk+1 + 2 Yk 0, with yo = 0, y, = 1.…

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Q: y''+4y'+3y=sin(3t) with y(0)=1 and y'(0)=-1 determine with laplace transform

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Q: Use Laplace transform technique to solve y" + 2y +2y= e¬, Y(0) = - 4, y'(0) = - 2

A: Laplace transform

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A: Solution :-

Q: Use Laplace transform technique to solve y + y"+2y +2y e, y(0) = - 3, y (0) = 2 %3D

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: 2. Solve using Laplace transform for y( y" + 4y' + 6y = 1- e-t, y(0) = 0

A: Given,          y''+4y'+6y=1-e-t, y(0)=0, y'(0)=0

Q: 4s – 9 - F(S) %3D 4s² – 16s + 9

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Q: du du du + u(x) = cos r- 2- cos(-t) d'u dt-2 / sin(a-t) dt, 2 dt dr? u(0) = 0, u'(0) = 0.

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Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) =-1…

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Q: Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

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Q: transform

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