The article analyzes second order differential equations, reveals their invariant properties, suggesting connections to equivalence problems.
The article is devoted to ordinary differential equations of the second order, the left side of which is the second derivative, and the right side is a third-degree polynomial of the first derivative of the desired function. The algebra of all differential invariants of point transformations is constructed for these equations in the general position, and the equivalence problem is solved for them.
No takes yet. Share an insight, caveat, or question.
V. A. Yumaguzhin (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: