For the ODE 3xy" + 2(1-x)y' - 4y = 0. (a) Show that x = 0 is a regular singular point. (b) Find and solve the indicial equation for the Frobenius series expansion about x = 0. (c) Find the first four nonzero coefficients in the Frobenius series expansion corresponding to the largest root of the indicial equation for x > 0, and state the corresponding Frobenius series solution.

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