Скачать или смотреть The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence

MY DIFFERENTIAL EQUATIONS PLAYLIST: ►   • Ordinary Differential Equations (ODEs)  
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Previously in our ODE playlist, we've studied 1st order differential equations. Now we move to second order differential equations, and specifically focus at the beginning on the major theory. What does existence and uniqueness look like for 2nd order linear ODEs? We see a remarkable property called superposition, and finally we get the big method which is to find two linearly independent solutions to the ODE which will form, by superposition, the the general solution

0:00 Linear ODEs
1:29 Existence 7 Uniqueness
3:38 Superposition
6:18 Linear Independence
7:32 General Solution

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