ODE
\[ y(x)^3 y'(x)^3-x y'(x)+y(x)=0 \] ODE Classification
[[_1st_order, _with_linear_symmetries]]
Book solution method
No Missing Variables ODE, Solve for \(x\)
Mathematica ✗
cpu = 600.012 (sec), leaf count = 0 , timed out
$Aborted
Maple ✗
cpu = 0. (sec), leaf count = 0 , hanged
dsolve(y(x)^3*diff(y(x),x)^3-x*diff(y(x),x)+y(x) = 0, y(x))
Mathematica raw input
DSolve[y[x] - x*y'[x] + y[x]^3*y'[x]^3 == 0,y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(y(x)^3*diff(y(x),x)^3-x*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
dsolve(y(x)^3*diff(y(x),x)^3-x*diff(y(x),x)+y(x) = 0, y(x))