2024-05-26T03:07:13Z
https://oai.zbmath.org/v1/
oai:zbmath.org:2721305
0001-01-01T00:00:00
35
JFM
Natani, (Berlin)
Spitzer, Simon
1870
2721305
German
Teubner, Berlin
https://zbmath.org/02721305
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Grunert Arch. LI, 499-506 (1870).
35C15; 35G20
Integration of the partial differential equations
\[
\frac{d^n z}{dx^n} = x^m \frac{d^{m+n} z}{dy^{m+n}} + F_1 (y) + x F_2 (y) + \cdots x^{m 1} F_m (y),
\]
where \(m\) and \(n\) are positive integers and \(F_1(y) F_2 (y) ... F_m (y)\) arbitrary functions of \(y\).
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