differential equations Math210

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

(3) For the following differential equation 2x2y" - xy + (x - 5)y = 0 do the following: (a) Show that x = 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