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Explore the ideas surrounding series solutions.

This assignment explores the ideas surrounding series solutions. We consider the simplest
case, which is a series solution near an ordinary point. Also, we consider some problems
involving the Gamma function.
1. Locate and classify the singular points to the differential equations (i.e. ordinary points,
regular and irregular singular points). Briefly explain your conclusion.
Extra remark: Remember to understand this idea you have to put the equation in
“standard form”.

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