# Thread: Find a second solution, given one. Reduction of order

1. ## Find a second solution, given one. Reduction of order

Suppose that $(x-1)y''-xy'+y=0$, and that x>1. Given that $y=e^x$ is a solution, use the reduction of order method to find a second solution.

2. May be this helps
Reduction of order - Wikipedia, the free encyclopedia

Known solution
$
y_1=e^x
$

Find the solution of the form
$
y=y_1y_2
$