Laplace transform is named in honor of the great French mathematician, Pierre Simon De Laplace (1749-1827). Like all transforms, the Laplace transform changes one signal into another according to some fixed set of rules or equations. The best way to convert differential equations into algebraic equations is the use of Laplace transformation.
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Inverse Laplace Transform : https://youtu.be/oUOr1wPtSVA
Second order Non-Homogeneous Linear differential equation : https://youtu.be/dbOvOUhKGaE
Second order Homogeneous Linear differential equation : https://youtu.be/Zj-F88n3hZw
