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'''·''' Know the difference between '''general solution''' and '''a solution satisfying the initial conditions'''. | '''·''' Know the difference between '''general solution''' and '''a solution satisfying the initial conditions'''. | ||
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| + | '''·''' Check one function is a solution to an ODE. | ||
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| + | '''·''' Distinguish ODE and PDE, know the usual notations. | ||
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| + | '''·''' Know the basic concepts of ODEs (order, linearity, homogeneity, etc). | ||
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Revision as of 15:23, 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).
