4.47.12 \(f\left (x,\frac {\partial ^{n-1}y(x)}{\partial x^{n-1}},y^{(n)}(x)\right )=0\)

ODE
\[ f\left (x,\frac {\partial ^{n-1}y(x)}{\partial x^{n-1}},y^{(n)}(x)\right )=0 \] ODE Classification

odeadvisor timed out

Book solution method
TO DO

Mathematica
cpu = 0.163016 (sec), leaf count = 0 , could not solve

DSolve[f[x, D[y[x], {x, -1 + n}], Derivative[n][y][x]] == 0, y[x], x]

Maple
cpu = 0. (sec), leaf count = 0 , exception

unable to handle ODEs of undefined differential order

Mathematica raw input

DSolve[f[x, D[y[x], {x, -1 + n}], Derivative[n][y][x]] == 0,y[x],x]

Mathematica raw output

DSolve[f[x, D[y[x], {x, -1 + n}], Derivative[n][y][x]] == 0, y[x], x]

Maple raw input

dsolve(f(x,diff(y(x),[x $ n-1]),diff(y(x),[x $ n])) = 0, y(x))

Maple raw output

\verbunable to handle ODEs of undefined differential order||