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Series Solutions Near an Ordinary Point - Ordinary Differential Equations | Lecture 26
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In the previous two video lectures we have applied the method of using power series to solve ODEs. The question is: can we just solve every ODE like this? In this lecture we focus on answering this question. We identify specific characteristics of an ODE to determine whether or not a series solutions exists and what its radius of convergence is. We introduce the notion of an analytic function - functions that are infinitely differentiable and have convergent power series about a given power. We further demonstrate that not every function that is infinitely differentiable has a power series.
This course is taught by Jason Bramburger for Concordia University.
Follow @jbramburger7 on Twitter for updates.
This course is taught by Jason Bramburger for Concordia University.
Follow @jbramburger7 on Twitter for updates.
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