Exact analytical approach to differential equations with variable coefficients
Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 6-D, Arica, Chile
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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