Abstract
The case where t does not occur explicitly in Ψ., already introdudced above, requires special consideration. In this case the partial differential equation \(\frac{{\partial V}} {{\partial t}} + \psi = 0\) can be reduced to another which contains one variable less. This rests on a very remarkable transformation of partial differential equations through which one of the independent variables and the partial differential coefficient belonging to it reverse their roles.
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© 2009 Hindustan Book Agency
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Clebsch, A. (2009). Investigation of the case in which t does not occur explicitly. In: Clebsch, A. (eds) Jacobi’s Lectures on Dynamics. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-62-0_21
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DOI: https://doi.org/10.1007/978-93-86279-62-0_21
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-91-3
Online ISBN: 978-93-86279-62-0
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