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QUESTION 5 a) State and explain whether the point z = o is an regular or irregular singular point of the following equation, [4 marks] b) By looking for a solution of equation (3) in the form of a Frobenius series, n 0 with ao characteristic exponent. 0, obtain and solve the indicial equation for k. Denote by ki the nonnegative 10 marks c) Assuming ao 1, compute the coefficients a1, a2, as, a4 corresponding to the nonnegative exponent k1. Write down the corresponding terms of the series solution. [6 marks Total: [20 marks]
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