Bateman, H. (1931) Solutions of a certain partial differential equation. Proceedings of the National Academy of Sciences of the United States of America, 17 (10). pp. 562-567. ISSN 0027-8424 http://resolver.caltech.edu/CaltechAUTHORS:BATpnas31a
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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).
| Item Type: | Article |
|---|---|
| Additional Information: | © 1931 by the National Academy of Sciences. Communicated September 14, 1931. |
| Record Number: | CaltechAUTHORS:BATpnas31a |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:BATpnas31a |
| Alternative URL: | http://www.pnas.org/cgi/reprint/17/10/562 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 9325 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Tony Diaz |
| Deposited On: | 13 Dec 2007 |
| Last Modified: | 26 Dec 2012 09:47 |
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