let it be:

$\displaystyle

y = x^n(\cos(lnx)+\sin(lnx))

$

where n is a natyral number

Prove that this equation is true

$\displaystyle

x^2 y''+(1-2n)xy'+(1+n^2)y=0

$

Should i consider n here as a constant right? Cause in some similar cases, it's not mentioned that n is natyral. That's the only question