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Would you help me in finding how Laplace transform is done for equation (1) in the attached image?

Equation (2) is the correct solution but I don't know how we get it!

I know that we can split the integration in (1) into two parts; one is from t0 to 0 and the other part is from 0 to t, but i couldn't find it Laplace transform too.

Thank you

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# Laplace Transform

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