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2xy (3) For the following differential equation 2xy - xy + (x-5)y = 0 do the following: (a) Show that r = 0 is

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2xy (3) For the following differential equation 2xy" - xy + (x-5)y = 0 do the following: (a) Show that r = 0 is a regular singular point. (b) Find the indicial equation and the indicial roots of it. (c) Use the Frobenius method to find two series solutions of the equation: Show the full explanation for this problem.

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