Question: We consider the ED x 2 y''+ 5xy' + 3y = 0. (i) Show that y1 (x) = 1 / x is a solution of

We consider the ED

x2y''+ 5xy' + 3y = 0.

(i) Show that y1 (x) = 1 / x is a solution of DE.

(ii) Obtain a second solution y2 (x) which is linearly independent of the ED and deduce the general solution from the ED.

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