4.47.9 \(y^{(n)}(x)=f\left (y^{(n-1)}(x)\right )\)

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

(ODEtools/info) missing specification of intermediate function

Book solution method
TO DO

Mathematica
cpu = 0.00508682 (sec), leaf count = 0 , could not solve

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

Mathematica raw output

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

Maple raw input

dsolve(diff(y(x),[`$`(x,n)]) = f(diff(y(x),[`$`(x,n-1)])), y(x),'implicit')

Maple raw output

unable to handle ODEs of undefined differential order