https://doi.org/10.1140/epjp/i2016-16386-9
Regular Article
Exact analytical approach to differential equations with variable coefficients
Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 6-D, Arica, Chile
* e-mail: mauroh69@gmail.com
Received:
2
August
2016
Accepted:
6
October
2016
Published online:
7
November
2016
This paper shows how to build an analytical solution for a differential equation of arbitrary order and with variable coefficients. It proofs that the most known approximated solutions for such a problem can be derived from the analytical expression presented in the paper. The formalism can be easily extended to the infinite dimensional case such as the quantum time-dependent Hamiltonian problem and used for the eigenvalues problems.
© The Author(s), 2016
