I keep getting stuck on how to separate the V once I substitute.
Okay, my first step
For this just divided x out
2. I separated (lnvx) = lnv + lnx, in order to eliminate lnx then I multiplied V
3. I brought vdx over and subtracted V
4. multiplied everything by e
This as far as I could go( not even sure if it's right) when I substituted v = y/x, I can't solve for y.
You can know that you are right. Differentiate this solution and see if it satisfies the original DE. I would recommend doing this for every single DE you ever solve. It's a good, straight-forward exercise (differentiation is a lot easier than integration), and it gives you confidence that you got the right answer.