Generalized-conjugate transformations and integrability in quadrature of some classes of systems
Please sign in so that we can notify you about a reply
Uniform two-dimensional systems of linear differential equations with variable coefficients, as well as the second order equations with variable coefficients are considered. A linear transformation of the desired functions is introduced, the coefficients of which satisfy a homogeneous linear system of differential equations that are generalized-associated to the source system (or one second-order equation), which contains some arbitrary function. In the case when this function can be selected in such a way that the generalized-conjugate system (equation) has a solution in quadratures or, in particular, in an obvious analytical form, the source system (or equation) is also integrated in squares. A number of examples of cases of integrability in the quadratures of systems and equations are given
Author:
Author:Israelovich Mikhail Yakovlevich
Cover:
Cover:Soft
Category:
- Category:History & Geography
- Category:Science & Math
Paper:
Paper:Gray
ISBN:
ISBN:978-5-9973-3263-1
No reviews found