E319 -- Recherches sur l'integration de l'equation \( \big(\!\frac{ddx}{dt^2} \!\big) = aa\big(\!\frac{ddz}{dx^2}\!\big) + \frac{b}{x}\big(\!\frac{dz}{dx}\!\big) + \frac{c}{xx}z \)
(Research into the integration of the equation \( \big(\!\frac{ddx}{dt^2} \!\big) = aa\big(\!\frac{ddz}{dx^2}\!\big) + \frac{b}{x}\big(\!\frac{dz}{dx}\!\big) + \frac{c}{xx}z \)
Summary:
Publication:
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Originally published in Melanges de philosophie et de la mathematique de la societe royale de Turin 3, 1766, pp. 60-91
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Opera Omnia: Series 1, Volume 23, pp. 42 - 73
Documents Available:
- Original publication (the Euler Archive would like to thank the Academy
of Sciences of Torino for these images):
E319
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