How to solve equation using Laplace transform

MathsTest

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Dec 13, 2025
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1
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I have to solve the equation 1 and prove that the solution is eq2

I feel Laplace transform is easy and tried to solve equation1 using LT

The Laplace transform of equation is
1765686826693.png
1765687773825.png
I am not getting the expected output why? what am i missing?
 
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