Initial value and Laplace

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  Thanks Answer: Consider the initial value problem and do the Laplace transform on both side, which gives where the differentiation property and Laplace table are used.

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  189914 Laplace Transform and Initial Value Problems (See attached for full description). 1. Find the Laplace transforms of 2. Use the Laplace transforms to solve the initial value problem y'' + 2y' - 8y = 0, y(0) = 1, y'(0) = 8 3.

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  Laplace transforms are used to solve an initial-value problem. The solution is detailed and well presented.

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  Page 405 #5 Solve the initial given value using the Laplace Transform Method: w" + w = t2 + 2 ; w(0) = 1 , w' (0) = -1 . Let us denote by Lw the Laplace transform of w. Recall that L(w'')(t)= therefore and .

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  This provides an example of using Laplace transforms to solve an initial value problem.

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• Use Laplace transforms to solve an initial value problem.

  126823 Use Laplace transforms to solve an initial value problem. Use Laplace transforms to solve the initial value problem y'' + ty' - 2y = 1, y(0) = 0, y' (0) =0.