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

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

(ODEtools/info) missing specification of intermediate function

Book solution method
TO DO

Mathematica
cpu = 0.00570855 (sec), leaf count = 0 , could not solve

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

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

unable to handle ODEs of undefined differential order

Mathematica raw input

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

Mathematica raw output

DSolve[f[x, Derivative[-1 + n][y][x], 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),'implicit')

Maple raw output

unable to handle ODEs of undefined differential order