Abstract
It is known that a linear ordinary differential equation of order n≥3 can be transformed to the Laguerre–Forsyth form y (n)=∑ i=3 n a n−i (x)y (n−i) by a point transformation of variables. The classification of equations of this form in a neighborhood of a regular point up to a contact transformation is given.
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Yumaguzhin, V.A. Contact Classification of Linear Ordinary Differential Equations: I. Acta Applicandae Mathematicae 72, 155–181 (2002). https://doi.org/10.1023/A:1015204908372
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DOI: https://doi.org/10.1023/A:1015204908372