Please excuse my moment of ignorance while I reboot my education in math. I am taking an optimal controls course and it has been quite some time since I've worked with calculus.
On to my question...
I have a 2nd order homogeneous differential equation that represents an optimal solution as follows:
$$tx''(t)-3x'(t) = 0$$
For those who are not familiar with controls notation, this equation can be written in classical $x$-$y$ format as such:
$$xy''-3y' = 0$$
What is throwing me off here is the non-constant coefficient before $y''$. I do not remember how to go about solving this and wikipedia is only confusing me further.
Thanks to all in advance for your help!