The Laplace Transform - UH

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IntroductionThe Laplace Transform provides an effective method of solving initial-value problems forlinear differential equations with constant coefficients. However, the usefulness of Laplacetransforms is by no means restricted to this class of problems. Some understanding of thebasic theory is an essential part of the mathematical background of engineers, scientists Laplace Transform is defined in terms of an integral over the interval [0, ). In-tegrals over an infinite interval are calledimproper integrals,a topic studied in a continuous function on [0, ).]]

The Laplace transform is defined in terms of an integral over the interval [0,∞). In-tegrals over an infinite interval are called improper integrals, a topic studied in Calculus II. DEFINITION Let f be a continuous function on [0,∞). The Laplace transform of f,

  Transform, Laplace, The laplace transform