Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 1, 1931 | public
Journal Article Open

Solutions of a certain partial differential equation

Bateman, H.

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).

Additional Information

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

Files

BATpnas31a.pdf
Files (312.6 kB)
Name Size Download all
md5:ad904799013c09b63be050abb39073cd
312.6 kB Preview Download

Additional details

Created:
August 21, 2023
Modified:
October 16, 2023