In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation. We learned how to solve these equations with power series using the Frobenius method.(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering what happens when there is an irregular singular point, like [itex]x^3y''+2xy'+y=0[/itex] at x = 0.

What kinds of techniques are used to solve these equations (closed-form, series or any other thing besides numerical methods)?

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# Irregular singular points

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