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# Laplace transform

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Laplace transform 1Laplace transform 2L{sin(at)} - transform of sin(at)Part 2 of the transform of the sin(at)

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Laplace as linear operator and Laplace of derivativesLaplace transform of cos t and polynomials"Shifting" transform by multiplying function by exponentialLaplace transform of t: L{t}Laplace transform of t^n: L{t^n}Laplace transform of the unit step functionInverse Laplace examplesDirac delta functionLaplace transform of the dirac delta function

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Laplace transform to solve an equationLaplace transform solves an equation 2Using the Laplace transform to solve a nonhomogeneous eqLaplace/step function differential equation

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Introduction to the convolutionThe convolution and the Laplace transformUsing the convolution theorem to solve an initial value prob