%0 Journal Article
%T Differential Invariants and First Integrals of the System of Two Linear Second-Order Ordinary Differential Equations
%A Yu. Yu. Bagderina
%J -
%D 2014
%R http://dx.doi.org/10.3968/4825 http://dx.doi.org/10.3968/pdf_8
%X In a recent paper the basis of algebraic invariants of the system of two linear second-order ordinary di_erential equations has been found. Now we obtain the di_erential invariants for this family of equations, which depend on the _rst-order derivatives. It is shown that the _rst integrals of such systems can be sought as the functions of the algebraic and di_erential invariants of a given system. Di_erential invariants can be useful also in constructing the transformation connecting two equivalent systems when their algebraic invariants are constant.
%K Dierential invariant
%K Equivalence
%K Linear equations
%K First integral
%K Invariant
%U http://cscanada.net/index.php/pam/article/view/4825