(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(1-xcotx)y''-xy'+y=0

y_{1}(x)=x is a solution

find the second solution, y_{2}(x), y1 and y2 are linear independent

2. Relevant equations

N/A

3. The attempt at a solution

i only know how to find it by auxiliary equation by substitute y=e^{rx}

and also i cant use substitution y=x^{r}

how to do this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Homogeneous differential equation

**Physics Forums | Science Articles, Homework Help, Discussion**