Laplace Transform: Example 1

Example 1: Solve using Laplace Transform

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Answer: First, apply the Laplace Transform

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Knowing that

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and

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we get

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After easy algebraic manipulations we get

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which implies

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Next, we need to use the inverse Laplace.

We have (see the table)

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For the second term we need to perform the partial decomposition technique first.

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We get

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Hence, we have

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Since (see the table)

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and (see the table)

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Finally, we have

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[Differential Equations] [First Order D.E.]
[Geometry] [Algebra] [Trigonometry ]
[Calculus] [Complex Variables] [Matrix Algebra]

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Author: Mohamed Amine Khamsi

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