2.15.2.64 problem 164 out of 249

Link to actual problem [10177] Solve \begin {gather*} \boxed {y^{\prime \prime \prime }-f \left (y\right )=0} \end {gather*}

type detected by program

{"unknown"}

type detected by Maple

[[_3rd_order, _missing_x], [_3rd_order, _with_linear_symmetries]]

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