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The way Laplace transforms, as presented in a typical differential equation course, are not very useful. Laplace transforms are useful, but not as presented. The use of Laplace transforms is presented is as follows: Transform your differential equation into an algebraic equation. Solve the algebraic equation. Invert the transform to obtain your solution. This is correct, but […] The post Laplace transform inversion theorems first appeared on John D. Cook....