If y " +3y +9y = 6e-3t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? %3D

Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: y''-4y=et , y(0) = 0 , y'(0)= 1 Laplace transform

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Q: у" (() + у(t) 3 0 y(0) = 0 y'(0) = 1

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

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Q: Solve the equation dy y ху-з dx II +

A: The given equation is of the bernoulli's equation form.

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: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

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Q: By using method of Laplace Transform, solve the initial value problem of d²y 3- dx2 + 2y = et dx…

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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: Example 5 : Using Laplace transform method, solve (D² +1)y = 6 cos 2t,t > 0 If y = 3, Dy = 1 when…

A: The given problem is to solve the given initial value problem with given initial conditions using…

Q: How can i solve this using Laplace Transform method? given that y ( 0 ) = 0 , y ′ ( 0 ) = 0 , a n d…

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

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Q: If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10…

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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: If y " +3y + 9y = 6e3t, y (0) = 0, y/ (0) = 5 what is %3D %3D the Laplace transform of y? 6. s2+3s+9…

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Q: Give the Laplace transform of the solution to y' + 3y-4 e* – 2 sin(2 x), y(0)=5]

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Q: Solve the shifted data IVP by the Laplace transform method showing your work in details.…

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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…

Q: Use the laplace transform of the initial-value problem; a) y'''+2y''-y'-2y=sin3t, y(0)=0,…

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Q: If y " +3y + 9y = 6e-8t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? 6. s2 +3s+9…

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

A: According to our guides, we are allowed to answer the first question only. Kindly re post the second…

Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: Evaluate equation y’ – 3y' – 4y = e³x using the Laplace transform, with initial conditions y(0) = -5…

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

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Q: у" + 6у' + 10у %3D 1, У (0) %3D —1, y'(0) = 2

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

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Q: 2. By Laplace transform, solve the D.E. y' + 2y = 3te-2t, y(0) = 4.

A: Using Laplace transformation,

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

A: We need to use Laplace transform to solve this differential equation.

Q: Determine the constants a, p, yo and y'o so that 3S +3 Y(s) = (s + 2)² is the Laplace transform of…

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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: y''-4y=et , y(0) = 0 , y'(0)= 0 Laplace transform

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Q: Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

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Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

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Q: Solve the problem: y" - 6y' +8y=sin t, y(0)=y'(0) = 0 a) without using Laplace transform: b)…

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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: y' = et ; y(0) = 2

A: Given y' = et ; y(0) = 2 As L{y′} = sY(s) − y(0)

Q: Find the Laplace transform; y''+y'+3y=e^-3t y'(0)=y(0)=0

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Q: Solve the shifted data IVP by the Laplace transform method showing your work in details. y"-xy'-y=0…

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Q: y'''-4y = et + t, y(0) = y'(0) = y''(0) = 0 Laplace Transform to solve for IVP

A: The objective is to solve the initial value problem y'''-4y=et+t along with initial conditions…

Q: Soru 4) yl"(t) – 5y'(t) + 6y(t) = Ae²t , y(0) = 2, y'(0) = 3 %3D Solve using Laplace transform?…

A: Formula Used:- L{y''}=s2L{y(t)}-sy(0)-y'(0)L{y'}=sL{y(t)}-y(0)L{eat}=1s-aL{tneat}=n!(s-a)n+1

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

A: Given y"+2y'+2y=e-t , y0=2 , y'0=-1 Ly"=s2Ly-sy0-y'0 Ly'=s Ly-y0 Le-t=1s+1 Now…

Q: Solve differential egualions by using laplace transform fCW)-5)'(x)+6f(x)=0 where for-o and flo)=1.

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Q: 4. Use Laplace transform technique to solve , y"+2y'+2y = e given y(0) = -2 and y'(0) =-1 %3D

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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: 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.