Final answer:
The given equations are defined as either homogeneous, exact or neither.
Step-by-step explanation:
The equation ydx = (y-xy²)dy is homogeneous because it can be written in the form M(x, y)dx = N(x, y)dy, where both M and N are homogeneous functions of the same degree.
The equation xyy' + y' = 2x is neither homogeneous nor exact, as it does not satisfy the conditions for homogeneity or exactness.