Solve the following differential equation using Laplace transform, d²y dy dx 尝- dy dx +10y = e2x+20, knowing that when x = 0, y= 0 and dx? then substitute a, b, and c with numerical values in the solution below, 5x e 3 2x y = a+ - 3 3 a= b= C= 1/3

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Q: Solve the following differential equation using Laplace transform d?y -6- dt dy + 10y = cos(2t),…

A: Given- d2ydt2-6dydt+10y=cos2t To Solve- The above differential equation by using Laplace transform.

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Q: Q.2// Solve the following pair of simultaneous differential equations Using Laplace Transform: dy dt…

A: By Laplace Transformation we know that, 1. ℒ(sinat) =a2s2+a2 2. ℒ(eat) =1s-a

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A: The solution is given as

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Q: solve the following differential equation using Laplace transforms d^2y/dt^2+4dy/dt+4y=0 with y(0)…

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A: Here we will use Laplace transform method.

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Q: Using Laplace Transform, solve the following differential equation y" –4y = e *, y(0) = 0, y'(0) = 2…

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Q: 2. y" – 3y" + 3y' – y = x²e*, y(0) = 1, y'(0) = 2, y"(0) = 3

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Q: y" - 10y'+ 9y = 5t, y(0) = -1, y' (0) = 2

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Q: 6. y"-6y'+8y= 2e y(0) = 0, y'(0) = 2

A: We solve above equation by Laplace transform

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Q: Solve the following differential equation by using Laplace and inverse Laplace transform: у" — у'+…

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Q: Use Laplace Transforms to solve the following Differential Equation y" + 3y' + 2y = te y(0) = y'(0)…

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Q: Solve the following differential equations d²y + 64y =88(t) dt? d’y , dx ·+5x= e$t + dt? dt by using…

A: Step:-1 Ly''=s2ys -s y0 -y'0Ly' = s ys -y0Lyt = ys  ⇒L-1 ys  =ytLea t =1s-a ⇒L-11s-a=ea tLtn =…

Q: y" – 3y" + 3y' – y = x²e*, y(0) = 1, y'(0) = 2, y"(0) = 3 -

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

Q: Solve the given differential equation using Laplace Transform (D² – 10D + 9)y = 5t With the initial…

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Q: 3- Solve the following differential equations by Laplace transform (a) x/ + 2x = 0,x(0) = 1.5 (b) x/…

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Q: Solve the following differential equation subject to the conditions given b- Laplace Transform…

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Q: By taking Laplace Transform on both sides of the differential equation below, find Y(s) dy/dx +…

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Q: Solve the following differential equation using Laplace transform d²y A. + 25y = 10 (cos(5t) – 2…

A: Given: d2y/dx2 + 25y = 10 [cos(5t) - 2sin(5t)] y(0)=1 , y'(0)=2 Repost the question B.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.