y+21+6 -3. ZHot=6

Q: Find the Inverse Laplace Transform 42 9s-30

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Q: Use Laplace transform to solve the given IVP. 2. * – 4x = 6e3t – 3e-t, x(0) = 1, ×(0) = –1

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Q: Determine the Inverse Laplace transform for 2s +9) 5² +9) L-

A: Here we have to find the inverse Laplace transform of  L-1{2s+9s2+9} Applying property…

Q: f(x) = 6e-xx-3.5

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Q: - 2e

A: The given differential equation is  y"-4y = 2e3t with y(0) = 0 and y'(0) = 0.

Q: 5s2-4s-7 7. (s-3)(s²+4)

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Q: find the inverse laplace transform

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Q: Find Inverse Laplace Transform £-1 12-7S $5/2

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Q: Find the inverse Laplace transform of: (b) - .2

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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: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

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Q: ) State the Convolution theorem. Find the Inverse Laplace Transform L'. -

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Q: Find the Laplace Transform L 3sin 5t – 2et + 3

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Q: Determine the Laplace transform. L{2et - t +6}

A: Given equation for Laplace transformation is L2e-t-t4+6

Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

Q: Solve the Laplace transform: t4sinh(3t)

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Q: Determine the Laplace transform of f(t) = (t - 2)5e-³t+6u(t-2), quoting which standard transform…

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Q: find the laplace transform of 2t³e³t

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Q: 3. State and explain the Convolution Theorem for Laplace transform

A: To prove: State and explain the convolution theorem for Laplace transform.

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

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: Find the Laplace transform of 6t - 5te+5. L{6t- 5te ¯' + 5} = %3D

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Q: Use laplace transform. Evaluate 2y"+3y'-2y=te^(-2t) , y(0)=0, y'(0)=-2

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Q: Find the Laplace transform of f(x) = 5x2 + 4x + 3 %3D

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Q: Solve the Laplace transform of: 4e-6t + 2et + 8

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Q: Use Laplace transform to solve. y" – 6y' = 0 y(0) = 2 y'(0) = 3

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Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: 3. f(t) = cosh(3t) %3D

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Q: Find the Laplace transform of f(x) = 5x² + 4x + 3.

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Q: Determine the Laplace Transform of: L{te-2cos2t}

A: Some Laplace transform: L{eatcosbt}=s-a(s-a)2+b2 L{tnf(t)}=-1nFn(s)   Apply above Laplace formulae…

Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: Find the Laplace transform of 4t2 + 5t3.

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Q: Solve the Laplace transform. L[ t3sin 2t]

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Q: Find the Inverse Laplace Transform.

A: The given function is Fs=10s-48s-53. Let 10s-48s-53=As-5+Bs-52+Cs-53. Remove the fraction and obtain…

Q: tsin 3t fre>=5. ー3七

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Q: Find the inverse laplace transform

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Q: The Laplace transform of is 2 Select one: O True O False

A: If f(t) is a function of t defined for all positive values of t, then the Laplace of f(t) is given…

Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Find the Laplace Transform of 10 + 5t +t- 4t

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Q: The Laplace Transform of [ -u(-t) ]=

A: Given that  -u-t Take ft= -u-t Note:- u(t) is unit step function defined as ut=1t>00t<0 If we…

Q: Find the Laplace Transform 3 1- f(t) = 3t4 – 2 ti+ 6

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Q: Use Laplace transform to solve IVP shown below: y" - 5y' + 6y = 2tet – 3et y(0) = 1, y'(0) = -1. %3D…

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Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t 00 f(t) ||

A: We have to apply the Laplace transform method.

Q: Use Laplace transform to solve the ODE. y"- 4y +3y - Bsinst, y(0)= 0, y'(0)-3

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Q: ty"+(4t-2) y'+(13t-4) y=0; y(0) =0; y'(0) =0

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Q: Use laplace transform to f

A: Given: The differential equation is, y1' - y2 =0 ........(1)4 y1 + y2' -4 y2 -2 y3 =0 ......(2)-2 y1…

Q: Find the Laplace transform of F(o)- 1)-(6-7), 127

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Q: Q9. Use Laplace transform to solve the ODE. x" – 4x' + 3x = -8sin4t, x(0) = 0, x'(0) = o

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