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Differential equations: Laplace transform

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Differential equations: Laplace transform

Transforms and the Laplace transform in particular. Convolution integrals.
Laplace Transform 1. Laplace Transform 2. L{sin(at)}) - transform of sin(at). Part 2 of the transform of the sin(at). Laplace as linear operator and Laplace of derivatives. Laplace Transform of cos t and polynomials. "Shifting" transform by multiplying function by exponential. Laplace Transform of : L{t}. Laplace Transform of t^n: L{t^n}. Laplace Transform of the Unit Step Function. Inverse Laplace Examples. Dirac Delta Function. Laplace Transform of the Dirac Delta Function. Laplace Transform to solve an equation. Laplace Transform solves an equation 2. Using the Laplace Transform to solve a nonhomogeneous eq. Laplace/Step Function Differential Equation. Introduction to the Convolution. The Convolution and the Laplace Transform. Using the Convolution Theorem to Solve an Initial Value Prob. Laplace Transform 1. Laplace Transform 2. L{sin(at)}) - transform of sin(at). Part 2 of the transform of the sin(at). Laplace as linear operator and Laplace of derivatives. Laplace Transform of cos t and polynomials. "Shifting" transform by multiplying function by exponential. Laplace Transform of : L{t}. Laplace Transform of t^n: L{t^n}. Laplace Transform of the Unit Step Function. Inverse Laplace Examples. Dirac Delta Function. Laplace Transform of the Dirac Delta Function. Laplace Transform to solve an equation. Laplace Transform solves an equation 2. Using the Laplace Transform to solve a nonhomogeneous eq. Laplace/Step Function Differential Equation. Introduction to the Convolution. The Convolution and the Laplace Transform. Using the Convolution Theorem to Solve an Initial Value Prob.

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