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Chaplygin's Equation

The partial differential equation

u_(xx)+(y^2)/(1-(y^2)/(c^2))u_(yy)+yu_y=0.

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References

Landau, L. D. and Lifschitz, E. M. Fluid Mechanics, 2nd ed. Oxford, England: Pergamon Press, p. 432, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 129, 1997.

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Chaplygin's Equation

Cite this as:

Weisstein, Eric W. "Chaplygin's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChaplyginsEquation.html

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