2.12.1.39 problem 39 out of 378

Link to actual problem [3234] \[ \boxed {2 y^{\prime } x -y-\ln \left (y^{\prime }\right )=0} \]

type detected by program

{"dAlembert"}

type detected by Maple

[[_1st_order, _with_linear_symmetries], _dAlembert]

Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)\begin{align*} \\ \\ \end{align*}