1. ## Differential Equation

I'm having some trouble with this problem

can i separate it into dy/dx=(8y)(ln(x))(1/x) or am I approaching it wrong?

this is what I got when I tried it

thanks

2. Originally Posted by jason0
I'm having some trouble with this problem

can i separate it into dy/dx=(8y)(ln(x))(1/x) or am I approaching it wrong?

this is what I got when I tried it

thanks
$\displaystyle \frac{dy}{y} = \frac{8\ln{x}}{x} \, dx$

$\displaystyle \ln|y| = 4\left(\ln{x}\right)^2 + C$

note where the square is on the right side.

$\displaystyle \frac{dy}{y} = \frac{8\ln{x}}{x} \, dx$
$\displaystyle \ln|y| = 4\left(\ln{x}\right)^2 + C$