Using the Laplace transform, solve the following Initial Value Problem 2,5 - 10°y/ + 10°y = f(t) y(0) = 0 where , if 0

Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 S² (S-1)² F(s) =

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Q: f(t) = 6te-3t + te-5t sin5t + t² %|

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Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2).

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Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: find the Inverse Laplace Transform of the following functions 8 F(S) %3D S4-4S2

A: we have used inverse laplace table and rules for this question.

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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Q: B: Find Inverse Laplace Transformer for the following function:- 345 F(s) = 3s3-s²-3s + 2 s² (S-1)²

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