Examples to find indicial equation and their roots MSc mathematics

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In this video we apply the method of Frobenius to solve a differential equation • xy'' + y' + 2xy = 0 • with a power series expanded about the regular singular point x=0. • We find a repeated indicial root, and a recurrence relation that has terms staggered by two. We also find that c1 = 0 making all odd coefficients, then, equal zero. • Thus, the series solution we find here only has even exponents. • ------------------ • My name is Jonathan, and differential equations are one of the most useful and exciting applications of mathematics. I hope this video helps bring to light some of the techniques involved with the method of Frobenius for finding a power series solutions expanded about a regular singular point. • Thanks for 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