Disintegrated order one differential equations and algebraic general solutions
Logic
2017-10-09 v2
Abstract
We generalize results of Rosenlicht to give a necessary and sufficient condition for when order one differential equations of the form where is a rational function is orthogonal to the constants. Following the main results of the paper, we also explain the connection between algebraic general solutions and weak orthogonality to the constants; a portion of this discussion is given in the appendix, written jointly with Joel Nagloo and Ngoc Thieu Vo.
Cite
@article{arxiv.1607.04387,
title = {Disintegrated order one differential equations and algebraic general solutions},
author = {James Freitag},
journal= {arXiv preprint arXiv:1607.04387},
year = {2017}
}
Comments
Appendix joint with Joel Nagloo and Ngoc Thieu Vo. There is an error in the main theorem of the paper