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Q2 (10 points) Consider the differential equation H 1 g +my'+(m2)y=0 {a} Show that there is a regular singular point at :1: = 0. II)

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Q2 (10 points) Consider the differential equation H 1 g +my'+(m2)y=0 {a} Show that there is a regular singular point at :1: = 0. II) (b) Assume a series solution of the form 2 unit\"? and find the indioial equation for this DE. n=U {c} Find the roots of the indicial equation and for each root, find a recurrence relation for the series solution. (d) For each root, find the series solution to the DE. {e} Is the given DE 3 Bessel equation? If yes, what is its order

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