Question

Q: 1 The equation y" + y'-xy =0 has a power series of the form y = Summation from n = 0 to n ::a(n)x^ni ) Find the Power series solutions y1(x) and y2(x) such that y1(0) = 1 ,y1'(0)= 0 and y2(0) = 0 , y2'(0) = 1ii ) Find the radius of convergence for y1(x) and y2(x) .For better clarity see pic uploaded.

Answer 1

Answer:

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