Published October 1, 1931 | Version public
Journal Article Open

Solutions of a certain partial differential equation

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Abstract

The partial differential equation ∂u/∂t = x(∂^2u/∂x^2 – u) is readily seen to possess the two particular solutions U1 = xe^(-x tanh t) sech^2t, U2 = e^(-x coth t).

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© 1931 by the National Academy of Sciences. Communicated September 14, 1931.

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9325
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CaltechAUTHORS:BATpnas31a

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2007-12-13
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