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13:12
YouTube
mathwithjanine
Using Laplace Transforms to solve Initial Value Problems (IVPs) | Math with Janine
In this video tutorial, I demonstrate how to use Laplace Transforms to solve IVPs. We introduce the following theorem: Suppose f(t), f'(t), f''(t),...f^(n-1)(t) is continuous and f(n) is piecewise continuous on [0, infinity]. Then, L{f^(n)(t)} = s^n*F(s) - s^(n-1)*f(0) - s^(n-2)*f'(0) - ... - f^(n-1)(0) where F(s) = L{f(t)} From this theorem ...
2.2K views
Mar 29, 2021
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