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