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HomeMIT 18.100B Real Analysis, Spring 2025Lecture 22: Differentiating and Integrating Power Series; Ordinary Differential Equations (ODEs)
Lecture 22: Differentiating and Integrating Power Series; Ordinary Differential Equations (ODEs)
1:21:03
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.