Find a series solution of the initial value problem xy′′ − y = 0, y(0) = 0, y′(0) = 1. by following the steps below: (a)

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Find a series solution of the initial value problem xy′′ − y =0, y(0) = 0, y′(0) = 1. by following the steps below:
(a) If y = ∑∞ n=0 c_nx^n is a series solution to the ODE, whatrelations must cn’s satisfy.
(b) Use the recurrence relation satisfied by cn’s to find c_0,c_1, c_2, c_3, c_4, c_5.
(c) Write down the general form of cn in terms of the factorialfunction (you do not have to justify this step).