Differential Equations are equations that involve a function and its derivatives. Sometimes they can be solved using a technique called separating variables. This only works for some differential equations.

Separable differential equations are equations of the form:

which can also be written as:

#### Example:

1. First we have to convert this to a separable differential equation. To do this multiply both sides by :

2. Multiply both sides by dx:

3. Integrate both sides:

(the C1 and C2 are arbitrary constants of integration):

4. Combine the arbitrary constants:

5. Take the negative reciprocal of both sides:

As you can see differential equations are separable if you can separate the variables and then integrate to solve.