Difference between revisions of "Separation of variables"
Jump to navigation
Jump to search
(Working on examples) |
(added definition) |
||
| Line 1: | Line 1: | ||
'''Separation of variables''' is a technique of solving [[differential equation]]s. | '''Separation of variables''' is a technique of solving [[differential equation]]s. | ||
| + | ==Definition== | ||
| + | A differential equation is called '''separable''' if the following criteria can be satisfied through rearranging the equation: | ||
| + | :<math>f\left(y\right)\,dy=g\left(x\right)\,dx</math> | ||
| + | |||
| + | |||
<!-- | <!-- | ||
==Example== | ==Example== | ||
Revision as of 19:11, June 30, 2009
Separation of variables is a technique of solving differential equations.
Definition
A differential equation is called separable if the following criteria can be satisfied through rearranging the equation:
- <math>f\left(y\right)\,dy=g\left(x\right)\,dx</math>
Reference
- D. Lomen and D. Lovelock, Differential Equations Graphics. Model. Data., John Wiley and Sons, Toronto, 1999.
- Separation of variables on Wolfram Mathworld