4. Use Laplace transform to solve the fowowing Initial -value problem : y" *y =hlt),ylo)=1,y'l=2 where

Q: y" + 3y" + 3y = y y (0) = 7, y' (0) = -7, y" (0) = 11

A: We will use following Laplace transformation…

Q: Use the Laplace transform to solve the given initial-value problem. y' - y = 2 cos(9t), y(0) = 0…

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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: Solve the following DE using Laplace Transform 3. y" - y' -2y = 5 sinx y(0) = 1, v'(0) = -1

A: The given differential equation .We have to solve the differential equation using the Laplace…

Q: O For the differential equation -at y" + 2y'- 3y = 6e Determine the solutioo using Laplace t theorem…

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Q: 3. Use Laplace transform to solve the IVP y" + 9y = e', y(0) = 0, y'(0) = 0. %3D %3D

A: Laplace transferom, solve the intial value problem

Q: 1. Solve: 2y' — y y (1) = es; y (0) = 2 ? Which of the following is within 0.01 of the right answer:…

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Q: 6. Use the Laplace transform to solve the following IVP. The table is on the next page. y" + 3y -…

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Q: 5. Given that L{ sin VE} = 1/2s T /se-/4. determine the Laplace transform of (1/Vecos vt. %3D

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Q: 3) Determine the inverse Laplace Transform. where f = L{F}. 4 F(s) = In s- 3, %3D

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: Use Laplace transform to solve the DE. d²y_3dy = 9 dx² dx where x=0, x=0 and dy=0 dx

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Q: 8. Express the given function using unit step functions and compute its Laplace transform y sin t N…

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Q: 8. Solve using the Laplace Transform: x" + 4x + 3x = 1 + e -2, x(0) = 0, '(0) = 1.

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Q: 4. (20 points) Use the Laplace Transform to solve the IVP y' +2y 2e", y(0) = 3

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Q: Solve the following DE using laplace transform method  y"-4y=0 when y(0)=0, y'(0)=6

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Q: 4. Using the definition, not the table, find the Laplace transform of (a) f(t) = −3 (b) g(t) = 4t…

A: Laplace transform of the function

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(V2t), y(0) = 11,…

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Q: Using convolution property of Laplace Transform, solve for y(t) of the following: 1) y(t) = e-3t*…

A: Given that     yt = e-3t * t e3t                   Let  gt = e-3t  and  ft = t…

Q: y = sin 3t dt – y

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

Q: 22) Solve using Laplace Transform y" + 2y' +5y = etsint where y(0) = 0, y'(0) = 1

A: Solution to the differential equation by using Laplace transform

Q: 7. Use the Laplace transform to solve the difference equation 3x (t) 4x(t-1) = 1, x(t)=0 for t < 0.…

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Q: ii. f(t)= e*tsinhrt 't sinh at

A: Laplace transform formulae: 1. Ltnf(t)=(-1)ndndsnLf(t) 2. Leatf(t)=Lf(t)s→s-a Given: f(t)=e3ttsinhπt

Q: 6. Use the Laplace Transform to solve the initial value problem: y' +9y = e-tcos (2t), y(0) = 0

A: Given that the initial value problem y'+9y=e-tcos2t   , y0=0    .

Q: Question #7. Use the Laplace transform to solve x"+x=2t, x(0) = 0, x'(0) = 5.

A: (.)   Given differential equation is ,          x''+x=2t   ;  x(0)=0  , x'(0)=5 (.) Some properties…

Q: sin at Find the Laplace transform of f(1) = ·S' dt 0 1

A: To find the Laplace transform of ft=∫0tsinattdt The Laplace transform of sinat is ℒsinat=as2+a2 The…