Uploaded June 2021 | Updated September 2026, 2 weeks ago

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In this video, I demonstrate how to solve the #HermiteODE using the #SeriesSolution method to obtain the #HermitePolynomials.

EDIT: At 1:40, I say that the derivative of the sum is the sum of the derivatives - this only applies for an infinite series if we're working within the radius of convergence. In this situation though, the radius of convergence can be infinite since the ODE doesn't have any singularities. Thanks to Quinn Kolt in the comments for pointing this out!

Questions/requests? Let me know in the comments!

Pre-Reqs: This video in my 'Topics in ODEs playlist': youtube.com/watch?v=c3XtwTsE7QY&list=PLdgVBOaXkb9ATVsK2Q84ghjBgIk5faHNc&index=1
Lecture Notes: drive.google.com/file/d/1LAztdvb4J3dxEX2Bgwa-9-G6vZkrtTrY/view?usp=sharing
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