The Indicated function $y_1(x)$ is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
$y_2 = y_1(x) \int \frac{e^{-\int P(x)dx}}{y_1^2(x)} dx$
(5)
as instructed, to find a second solution $y_2(x)$.
$x^2y'' - 3xy' + 5y = 0$; $y_1 = x^2 \cos(\ln(x))$