 01416 M.C. Nucci and P.G.L. Leach
 The essential harmony in the classical equations of mathematical physics
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Nov 8, 01

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Abstract. The possibility to transform any system of linear ordinary
differential equations into a system of constant coefficient
equations is demonstrated using Lie theory. Some examples relate
the classical equations of mathematical physics to the simple
harmonic oscillator. The r\^oles of the third order form of the
ErmakovPinney equation and of Fleischenvon Weltunter systems are
explained.
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