ODE
\[ y^{(n)}(x)=f\left (\frac {\partial ^{n-1}y(x)}{\partial x^{n-1}}\right ) \] ODE Classification
odeadvisor timed out
Book solution method
TO DO
Mathematica ✗
cpu = 0.16673 (sec), leaf count = 0 , could not solve
DSolve[Derivative[n][y][x] == f[D[y[x], {x, -1 + n}]], y[x], x]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[Derivative[n][y][x] == f[D[y[x], {x, -1 + n}]],y[x],x]
Mathematica raw output
DSolve[Derivative[n][y][x] == f[D[y[x], {x, -1 + n}]], y[x], x]
Maple raw input
dsolve(diff(y(x),[x $ n]) = f(diff(y(x),[x $ n-1])), y(x))
Maple raw output
\verb
unable to handle ODEs of undefined differential order||