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=== <small> 1.1 Concept <small> ===

Revision as of 16:29, 16 October 2017

The Existence and Uniqueness Theorem for Solutions to ODEs

A slecture by Yijia Wen

1.0 Abstract

Before starting this tutorial, you are supposed to be able to:

· Find an explicit solution for $ \frac{dy}{dt}=f(t) $. This is the same thing as finding the integral of $ f(t) $ with respect to $ t $.

· Know the difference between general solution and a solution satisfying the initial conditions.

· Check one function is a solution to an ODE.

· Distinguish ODE and PDE, know the usual notations.

· Know the basic concepts of ODEs (order, linearity, homogeneity, etc).



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=== 1.1 Concept ===

Alumni Liaison

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

Dr. Paul Garrett