Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplace Transforms.

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Q: 3y" + 6y + 3y = 9, y(0) = 0, /(0) = 6 %3D

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Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Laplace Transformation.

A: Converting the equation in Laplace transform:…

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A: we have to find the solution of the given differential equation using Laplace transformation.

Q: -- solve ÿt y-2y=5é'sint ,y (0)=1 and o)=o using Laplace transforms.

A: We have to find solution by Laplace transform Method.

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

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Q: lim h0 lim b-00 ((x + h) - x² h √x + h - vx X h

A: Please see the below picture for detailed solution.

Q: Use method of Laplace Transforms. y"-6y +13y = 0, y(0) = 1, y (0) = -3.

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Q: Use Laplace transformations to solve the IVP y" – y' = 0 - y(0) = y'(0) = 1 Show the complete…

A: The detailed solution is given below Thank you

Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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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: SOLVE D.E. USING LAPLACE TRANSFORMS. x'(t) – 3x"(t) – 4x'(t) + 12x(t) = 12e-t ; x(0) = 4 , x'(0) = 2…

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Q: Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of…

A: (.)  Given differential equation is,         w''+w = 2u(t-3)-u(t-4) ;   w(0) = 2  ,  w'(0)=0 (.)…

Q: Solve the given initial value problem using the method of Laplace transforms. y'' + 7y' +…

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Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: Determine the Laplace transform of the function. a) [4+sin(31)+5e²]- b) Z[6r'+2t’e" +sinh(4)].

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Q: Solve the IVP x”+9x = U(t-2)sin[3(t-2)], x(0)=2, x’(0)=0 using Laplace Transforms. Identify xc , xp…

A: The solution is given as

Q: sforms in finding the solution to the giver +4y= 4e²t. v(0) = -1.v'(0) = -4

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Q: Solve using Laplace transforms y''+2y'-6y=7e-3t, where y(0)=1, and y'(0)=-2

A: Solution

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: 7/2 Q5:-(3t°-2t* – te 3sin 6t +4 cos 4t)eC + t e3t -St As 360 48 (S-2)5 (s-2)5 18 (s-2)²+36 4(S-2)…

A: Answer of question (i) has  typing error

Q: Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w =…

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Q: Use Laplace transformation to solve the DE y" – x = 1, y(0) = y' = 0.

A: To solve the initial value problem of second order differential equation using Laplace…

Q: Solve using Laplace Transforms. y'" + 2y' + 3y = u2n(t) y(0) = y'(0) = 0

A: We will find out the required solution.