SOLUTION OF THE NON-LINEAR DIFFERENTIAL EQUATION: Transactions of the Royal Society of South Africa: Vol 49, No 2

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SUMMARY

A wider class of solutions to the nonlinear differential equation y″ + p(x)y = q_m (x)/y^2m−1 than that given by Reid is obtained. In the process the relationships between Kummer-Liouville transformations and generalized canonical transformations and autonomous Hamiltonian systems and Lie point symmetries are uncovered.

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SOLUTION OF THE NON-LINEAR DIFFERENTIAL EQUATION

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SOLUTION OF THE NON-LINEAR DIFFERENTIAL EQUATION

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