Differential equation, Bernoulli's

[Lorenc]

Homework Statement

Hello everybody :) Now, I have a differential equation to solve. Its a Bernoulli's type of eq.

Homework Equations

(2x²lny-x)y' = y

The Attempt at a Solution

I tried of putting it in this way: y'/y = 1/2x²lny-x and then considerin z=1/y, but it doesn't seem to solve the problem, because the lny sort of gets in the way. Any help would be appreciated. Thanks :)

 

[vanhees71]

Substitute $z=\ln y$ into the equation. Hint: Evaluate the derivative $z'$ first!

 

[Lorenc]

The only thing I hadn't tried :D Thanks a lot :D