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Jacobi’s last multiplier and Lagrangians for multidimensional systems

Jacobi’s last multiplier and Lagrangians for multidimensional systems

We demonstrate that the formalism for the calculation of Jacobi’s last multiplier for a one degree of freedom system extends naturally to systems of more than one degree of freedom thereby extending results of Whittaker dating from more than a century ago and Rao [Proceedings of the Benares Mathematical Society …