Using the properties of the Laplace transform, we can transform this constant coefficient differential equation into an

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The Laplace Transform is used to solve differential equations. The Laplace transform's principal purpose is to convert Ordinary Differential Equations (ODEs) into

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The only new bit that we’ll need here is the Laplace transform of the third derivative. We can get this from the general formula that we gave when we first started looking

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Learn. Laplace as linear operator and Laplace of derivatives. Laplace transform of cos t and polynomials. Shifting transform by multiplying function by exponential. Laplace transform of