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Laplace Expansion - Exponential Product

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My problem deals with the Laplace expansion property applied to a exponential product function. I am unsure as to how the problem should be solved based on the given property formula and the Differential Equation books that I have used have been of no help. If familiar, please try to use the DiPrima notation.

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Solution Summary

This problem deals with the Laplace expansion property applied to a exponential product function.

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The problem requires the Laplace transform be calculated using the formula (1) below.

Formula 1:

Problem:

Note: The left function is t multiplied by the exponential of k*t.

I ...

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