ODE
\[ f\left (y^{(n-2)}(x),y^{(n-1)}(x),y^{(n)}(x)\right )=0 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 0.00565703 (sec), leaf count = 0 , could not solve
DSolve[f[Derivative[-2 + n][y][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[Derivative[-2 + n][y][x], Derivative[-1 + n][y][x], Derivative[n][y][x]] == 0,y[x],x]
Mathematica raw output
DSolve[f[Derivative[-2 + n][y][x], Derivative[-1 + n][y][x], Derivative[n][y][x]] == 0, y[x], x]
Maple raw input
dsolve(f(diff(y(x),[`$`(x,n-2)]),diff(y(x),[`$`(x,n-1)]),diff(y(x),[`$`(x,n)])) = 0, y(x),'implicit')
Maple raw output
unable to handle ODEs of undefined differential order