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'''·''' Find an explicit solution for <math>\frac{dy}{dt}=f(t)</math>. This is the same thing as finding the integral of <math>f(t)</math> with respect to <math>t</math>. | '''·''' Find an explicit solution for <math>\frac{dy}{dt}=f(t)</math>. This is the same thing as finding the integral of <math>f(t)</math> with respect to <math>t</math>. | ||
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| + | '''·''' Know the difference between '''general solution''' and '''a solution satisfying the initial conditions'''. | ||
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Revision as of 15:20, 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.
