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Introduction to Higher-Order ODEs

A slecture by Yijia Wen

4.0 Abstract

In last tutorial we looked at three basic methods to solve first-ordered differential equations. In a linear equation, we can switch the variable $ x $ to a higher order, like $ x^2 $, $ x^3 $, ..., $ x^n<math> to obtain higher-ordered equations. Similarly, the differential term <math>\frac{dy}{dx} $ can also be switched as $ \frac{dy}{dx}^2 $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett