Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0

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In the previous videos in our ODE playlist we have seen how to solve constant coefficient homogeneous second order differential equations like y''+2y'+y=0. We saw how there were three options, distinct real roots, repeated real roots, and complex pairs to the characteristic aka auxiliary equation. The same basic idea applies for higher order differential equations as well, its just that we have more roots but they are all the same possibilities.

0:00 Intro
1:00 Example 1
6:40 Example 2

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Видео Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0 канала Dr. Trefor Bazett