Separation of variables
Separation of variables is a technique of solving a specific type of differential equations.
An ordainary differential equation is called separable if the following criteria can be satisfied through rearranging the equation:
We can rearrange the equation into
Since and are arbitaray constants, we can group them together and give
The answer is usually leave at the form described above instead of isolating .
- D. Lomen and D. Lovelock, Differential Equations Graphics. Model. Data., John Wiley and Sons, Toronto, 1999.
- Separation of variables on Wolfram Mathworld