Seeking (and finding) Lagrangians |
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| Authors: | M C Nucci |
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| Institution: | (1) Dipartimento di Matematica e Informatica, Università di Perugia, Perugia, Italy |
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| Abstract: | It is well known that for any second-order ordinary differential equation (ODE), a Lagrangian always exists, and the key to its construction is the Jacobi last multiplier. Is it possible to find Lagrangians for first-order systems of ODEs or for higher-order ODEs? We show that the Jacobi last multiplier can also play a major role in this case. |
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| Keywords: | Lagrangian first integral Jacobi last multiplier |
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