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Hi, I need help with parts (b) and (c). iii) We aim to construct a series solution to the ODE about the ordinary point 170

Hi, I need help with parts (b) and (c).

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iii) We aim to construct a series solution to the ODE about the ordinary point 170 : 0 (1 $2M\" - 217:1] + 209 = 0; 11(0) : 1, y'(0) : 0, of the form W?) = Z Anrvn- (1) n=0 a) Give the recurrence relation for the coefcients An. b) Explain from the recurrence relation that one of the series will ter minate yielding a polynomial solution, and the other does not. 0) Write down the polynomial solution

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