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arXiv · 1505.06509

Exact analytical approach to differential equations with variable coefficients

Mauro Bologna
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Abstract

This paper shows how to build a formal 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.

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Mauro Bologna. 2015-05-16. Exact analytical approach to differential equations with variable coefficients. https://arxiv.org/abs/1505.06509

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