First Order Differential Equations I am having trouble isolating the $x$ and $y$ to separate side in the differential equations below.  Could someone give me a hint as to how to to this.
Equation 1:  $$\frac{dy}{dx} - \frac{x}{y}  = \frac{1}{x}$$ 
Equation 2:  $$xy\frac{dy}{dx} = y^2$$

The first is not separable.
For the second, we have:
$$xy\frac{dy}{dx} = y^2$$
Dividing, we have:
$$\dfrac{y~dy}{y^2} = \dfrac{dx}{x}$$
This is separable and we can now integrate each side as:
$$\int \dfrac{1}{y}~ dy = \int \dfrac{1}{x}~ dx$$
I think you can take it from here.
