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 C1 and C2 are arbitaray constants, we can group them together and give
The answer is usually leave at the form described above instead of isolating y.
- D. Lomen and D. Lovelock, Differential Equations Graphics. Model. Data., John Wiley and Sons, Toronto, 1999.
- Separation of variables on Wolfram Mathworld