First you need to divide every term in the equation by x:
This equation is often called Bernoulli differential equation. You can find here
more sufficient information about it and how to solve it.
Then we divide every term of the equation by y^(4/3):
Now we make a substitution z=y^(-4/3+1)=y^(-1/3) => y=1/z^3, y'=-3/z^4 *z'
So we obtain