Find a power series solution of the form y(x) =o Cx" of the given differential equation. =0 First compute y (x) = x"-1 (Use cn for c,, in your answer) Then xy (x) + y = + x+=2 100 (Use c0 for co, c1 for c, cn for c, and cnm1 for C-1 in your answer) Requiring that the terms of this series for x2y + y vanish gives Co= C = C = Cn-1 for n 2 The series solution converges to the familiar function y = f(x) = xy + y = 0 x"