Laplace Transforms 3: The Laplace transform of t^n
(Video 3 of several) Let's keep studying the Laplace Transform by computing the Laplace Transform of f(t) = t^n. First we use the improper integral definition of the Laplace transform to compute L{t}. Then we spot a pattern based on the identity L{dy/dt} = s L{y} - y(0). Lastly we solve a first-order differential equation with the Laplace Transform.
Video 2: • Laplace Transforms 2: The Laplace transfor...
Video 4: • Laplace Transforms 3: The Laplace transfor...
Partial fractions review: • Integration with Partial Fractions 1, Sing...
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