Laplace Transforms, Inverse Laplace Transforms, and Differential Equations: Analytical and MATLAB Verification - Document preview page 1

Laplace Transforms, Inverse Laplace Transforms, and Differential Equations: Analytical and MATLAB Verification - Page 1

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Laplace Transforms, Inverse Laplace Transforms, and Differential Equations: Analytical and MATLAB Verification

This assignment focuses on the application of Laplace transforms and differential equations, verified through analytical and MATLAB methods.

Leo Campbell

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12 months ago

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Laplace Transforms, Inverse Laplace Transforms, and Differential Equations: Analytical andMATLAB VerificationExercises:1.Find the Laplace transforms of the following functionsby hand and verify results using Matlab.1.𝑥(𝑡)=𝑡Sol:Matlabcode toverify resultsF=laplace(t)pretty(F)

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2.𝑓(𝑡)=−1.25+3.5𝑡𝑒−2𝑡+1.25𝑒−2𝑡SolMatlab code toverify resultsF=laplace(−1.25+3.5∗𝑡∗𝑒−2𝑡+1.25∗𝑒^(−2𝑡))pretty(F)

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