4. Consider the second-order, linear, homogeneous ODE
xy" + y = 0.
(2) (a) Show that x0 = 0 is a regular singular point of (2).
(b) Use the Method of Frobenius to find the two linearly independent solutions of (2) about x0 = 0. Show your work!

For each of the following ODEs, use the Method of Frobenius to find the first six terms of each of two linearly independent solutions about the regular singular point x0 = 0.
(a) xy" + y - y = 0
(b) x²y" + (x - 3/4)y = 0

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