4.47.8 $y^{(n)}(x)=f(y^{(n-2)}(x))$

ODE
$$y^{(n)}(x)=f(y^{(n-2)}(x))$$ ODE Classification

(ODEtools/info) missing specification of intermediate function

Book solution method
TO DO

Mathematica ✗
cpu = 0.00515178 (sec), leaf count = 0 , could not solve

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

Maple ✗
cpu = 0.479 (sec), leaf count = 0 , exception

unable to handle ODEs of undefined differential order

Mathematica raw input

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

Mathematica raw output

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

Maple raw input

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

Maple raw output

unable to handle ODEs of undefined differential order