Alternative integration procedure for scale-invariant ordinary differential equations
For an ordinary differential equation invariant under a one-parameter group of scale transformations x→λx, y→λαy, y′→λα−1y′, y″→λα−2y″, etc., it is shown by example that an explicit analytical general solution may be obtainable in parametric form in terms of the scale-invariant variable ξ=∫xy−1/αdx....
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1979-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000144 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|