To solve first-order differential equations using separation of variables, follow these easy steps:

1. Get it in Standard Form: Make sure your equation looks like this: $\frac{dy}{dx} = g(y) \cdot h(x)$

2. Separate the Variables: Rearrange the equation so that all the y's are on one side and all the x's are on the other side: $\frac{1}{g(y)} dy = h(x) dx$

3. Integrate Both Sides: Integrate each side: $\int \frac{1}{g(y)} dy = \int h(x) dx$

4. Solve for y: Rearrange the equation to find out what y is in terms of x.

5. Don’t Forget the Constant: Remember to add the integration constant, which we call $C$.

This method works well for many first-order equations and helps us find solutions based on initial conditions.