the outstanding Laplace method for solving systems of ode

Описание к видео the outstanding Laplace method for solving systems of ode

the extraordinary Laplace method for solving systems of ode. We solve a system of differential equations in a direct and easy way, without the use of linear algebra or eigenvalues. This method uses the laplace transform, very widely used in physics and engineering, which turns differentiation into multiplication. It is defined with an integral with exponential functions, and is very suited for convolutions and dirac delta distributions. To solve this, we use L on both sides and solve for the solutions using Cramer's rule. This is good when the two solutions or particles are coupled, and can be used for example to describe planetary motion in physics.

0:00 Introduction
1:15 Laplace Transforms
3:36 Cramer's rule
7:00 Solution

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