4.47.8 \(y^{(n)}(x)=f\left (\frac {\partial ^{n-2}y(x)}{\partial x^{n-2}}\right )\)

ODE
\[ y^{(n)}(x)=f\left (\frac {\partial ^{n-2}y(x)}{\partial x^{n-2}}\right ) \] ODE Classification

odeadvisor timed out

Book solution method
TO DO

Mathematica
cpu = 0.159557 (sec), leaf count = 0 , could not solve

DSolve[Derivative[n][y][x] == f[D[y[x], {x, -2 + n}]], y[x], x]

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

unable to handle ODEs of undefined differential order

Mathematica raw input

DSolve[Derivative[n][y][x] == f[D[y[x], {x, -2 + n}]],y[x],x]

Mathematica raw output

DSolve[Derivative[n][y][x] == f[D[y[x], {x, -2 + n}]], y[x], x]

Maple raw input

dsolve(diff(y(x),[x $ n]) = f(diff(y(x),[x $ n-2])), y(x))

Maple raw output

\verbunable to handle ODEs of undefined differential order||