Verify that y1(x) = x is a solution of xy'' − xy' + y = 0. Use reduction of order to find a second solution y2(x) in the form of an infinite series.
A. y2 = x ln x + x^2 + x^3/ 2·2! + x^4/ 3·3! + x^5/4·4! +...
B. y2 = −1 + x ln x + x^2/ 2 + x^3/ 2·3! + x^4/ 3·4! + ...
C. y2 = ln x + x + x^2/ 2·2! + x^3/ 3·3! + x^4/ 4·4! + ...
D. y2 = ln x + x + x^2/ 2! + x^3/ 3! + x^4/ 4! + ...
E. y2 = − 1/ x + ln x + x/2 + x^2/ 2·3! + x^3/ 3·4! + ...
