Lecture 22: Differentiating and Integrating Power Series; Ordinary Differential Equations (ODEs)

MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
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We show that integrating, respectively, differentiating a power series is done by integrating, respectively, differentiating it term by term. In the second part of the lecture we look at ordinary differential equations (ODEs). We explain what they are and discuss what existence and uniqueness of solutions means.

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Post from MIT OpenCourseWare on September 02, 2025

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