English

On the differential equation $y" - (b'(x)/2b(x))y' + \lambda b(x)y = 0$

Mathematical Physics 2011-07-04 v1 math.MP

Abstract

The Hamilton-Jacobi method which can be used for solving this equation has been presented. The solution of the equation suggests that there exist some second order linear ordinary differential equations whose resolution can be done by means of characteristic equation.

Keywords

Cite

@article{arxiv.0907.4959,
  title  = {On the differential equation $y" - (b'(x)/2b(x))y' + \lambda b(x)y = 0$},
  author = {Christian Rakotonirina},
  journal= {arXiv preprint arXiv:0907.4959},
  year   = {2011}
}

Comments

3 pages

R2 v1 2026-06-21T13:30:04.605Z