DE-BOOK Applying the Laplace Method

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Chapter 10 Applying the Laplace Method

Imagine turning a differential equation into an algebra problem instead. That’s exactly what the Laplace transform method does. It unfolds in the same three steps:

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Forward transform. Apply the Laplace transform (term-by-term) to a differential equation and get an algebraic equation in $Y(s)\text{.}$

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Algebra in the Laplace domain. Isolate $Y(s)$ and prepare it for next step.

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Backward transform. Apply the inverse Laplace transform to the prepared $Y(s)$ to turn it back into $y(t)$ as the solution to the origianl differential equation.

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Throughout the chapter, we will zoom in on each step and guide you with a roadmap like the one below.

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Figure 204. Laplace Transform Method Slideshow. Press Next to take a step!

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