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Le Date Calculus:- 1. Given a Page Mate N differenting Equation r x (1-x) y + (r= (1++B) ] y_apg=0. Where di fr. and

Le Date Calculus:- 1. Given a Page Mate N differenting Equation r x (1-x) y + (r= (1++B) ] y_apg=0. Where di fr. and y ace Constants, this equation is known as the hyper geometric Equation T (a) Show that for regular point n=o, the indical equation of the above hypergeometric equation has the roots 1,=0 and r = 1-r. (b) Based on the result in (a) if = 1/ predict the generel form of two Solutions of the hypergeomenlic equation. G let =1, B=2 and 1=Y Ose the method of Frobenius to show that the solution which Cornerponds to the langer root is y = x/2 ( 1 + 5/22+ 35 x 27) 8

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