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Laplace Transforms, Inverse Laplace Transforms, and Differential Equations: Using MATLAB

This assignment provides a comprehensive analysis of Laplace transforms, inverse Laplace transforms, and differential equations, using MATLAB for verification.

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Laplace Transforms, Inverse Laplace Transforms, and DifferentialEquations: A Comprehensive Analysis and Solution Verification UsingMATLABExercises:1.Find the Laplace transforms of the following functions by hand and verify results usingMatlab.General Laplace transform tableF(t)f(t)11𝑠𝑑𝑛𝑛!𝑠𝑛+1π‘’π‘Žπ‘‘/π‘’βˆ’π‘Žπ‘‘1π‘ βˆ’π‘Ž/1𝑠+π‘Žsinπ‘Žπ‘₯π‘Žπ‘ 2+π‘Ž2cosπ‘Žπ‘₯𝑠𝑠2+π‘Ž2y𝑦̃𝑦̕ Μ•sπ‘¦Μ•βˆ’π‘¦(0)y̋𝑠2π‘¦Μ„βˆ’π‘ π‘¦(0)βˆ’π‘¦Μ•(0)

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