Homogeneous first order equations need step by step

Question

Compute the solution of the following problem

Problem- Homogeneous first order equations. Need step by step manipulation of these numbers from beginning to end. I have a horrible math teacher and a test on Homogeneous first order equations which he went thru for less than 10 mins last class. Any help understanding how this works would be greatly appreciated!!

1. dy/dx=(y-4x) / (x-y)

2. dy/dx=(x³+3y²)/2xy

3. dy/dx= (x²+3xy+y²)/x²

4. dy/dx=(ysin(y/x) +x)/xsin(y/x)

I want help to explain the homogeneous first order equations.