2) x = -3X,+ X2 ~12t X = - 4x+ 2X, + (2t X6)=o,メ2(o) =6 Xz(0) =6 こ0)

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A: Given x.-4x=8  at t = 0 , x = 2

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Q: +23

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Q: Find te Inverre laplace transform of F(s) 48 2. |

A: Inverse Laplace Transform Definition: If Fs be the Laplace transform of a function ft, i.e., if…

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

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Q: Exercise 13 The Laplace transform of fie) - siat - 2U-2 is

A: Here we will use Laplace transform method.

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Q: Use Python to find the Laplace transform of e²t + 4t³

A: To write t^3 in Python, you can use the `**` operator for exponentiation.

Q: Find the Laplace transforms of the functions. f(t) = Cos^2(2t)

A: Let ft=cos22tTo find: Laplace transform of the function ft.

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Q: Determine the Laplace transform of a.) 2cos^2 t and b.) 3sin^2 2x. Write the complete solution…

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