ODE
\[ y^{(n)}(x) \frac {\partial ^{n-2}y(x)}{\partial x^{n-2}}=\left (\frac {\partial ^{n-1}y(x)}{\partial x^{n-1}}\right )^2 \] ODE Classification
odeadvisor timed out
Book solution method
TO DO
Mathematica ✗
cpu = 0.16799 (sec), leaf count = 0 , could not solve
DSolve[D[y[x], {x, -2 + n}]*Derivative[n][y][x] == D[y[x], {x, -1 + n}]^2, y[x], x]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[D[y[x], {x, -2 + n}]*Derivative[n][y][x] == D[y[x], {x, -1 + n}]^2,y[x],x]
Mathematica raw output
DSolve[D[y[x], {x, -2 + n}]*Derivative[n][y][x] == D[y[x], {x, -1 + n}]^2, y[x], x]
Maple raw input
dsolve(diff(y(x),[x $ n-2])*diff(y(x),[x $ n]) = diff(y(x),[x $ n-1])^2, y(x))
Maple raw output
\verbunable to handle ODEs of undefined differential order||