I am taking an online course on IIT's MOOC site https://onlinecourses.nptel.ac.in/noc17_ma11/ on Ordinary Differential equations. One of the questions in the assignment is the following :
Solve the differential equation
I am having some trouble attempting this question. Here are my quick thoughts:
- This is not in the separable form.
- Substituting $y=ux$ or $x=vy$ does not yield a homogenous function.
- The coefficient of $dx$ is not linear.
- This is not an exact differential equation.
Obviously, this must have an integrating factor then. Are my initial thoughts correct? Is that the correct way to proceed? I tried googling, but didn't find much luck.
Any hints in the right direction would be great.