## 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:
• Originally published in Melanges de philosophie et de la mathematique de la societe royale de Turin 3, 1766, pp. 60-91
• 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