Abstract
The purpose of an analytic transformation is to change a more complicated problem into a simpler one. The Laplace transformation, which is applied chiefly with respect to the time variable, maps an IVP onto an algebraic equation or system. Once the latter is solved, its solution is fed into the inverse transformation to yield the solution of the original IVP.
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Constanda, C. (2013). The Laplace Transformation. In: Differential Equations. Springer Undergraduate Texts in Mathematics and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7297-1_8
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DOI: https://doi.org/10.1007/978-1-4614-7297-1_8
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