Erratum: Integrating factors and first integrals for ordinary differential equations

Abstract

Volume 9 (1998), pp. 245–259

The last sentence of §3.2 should read as follows:

For n=4, the splitting yields six such linear PDEs from the coefficients of the terms involving Y⁽⁶⁾, Y⁽⁴⁾, Y⁽⁵⁾, Y⁽⁵⁾, Y⁽⁴⁾³, Y⁽⁴⁾² and Y⁽⁴⁾.

In the first paragraph of §6, the penultimate sentence should read as follows:

For an nth-order scalar ODE the determining equations are a linear system of PDEs consisting of the adjoint of the determining equation for symmetries of the nth-order ODE and additional equations when n[ges ]2.

We apologise for the errors in the above paper and hope that no inconvenience has been caused to readers.