2.521   ODE No. 521

\[ y'(x)^3+x y'(x)-y(x)=0 \]

✓ Mathematica : cpu = 0.0036268 (sec), leaf count = 14

DSolve[-y[x] + x*Derivative[1][y][x] + Derivative[1][y][x]^3 == 0,y[x],x]
 

\[\left \{\left \{y(x)\to c_1 x+c_1{}^3\right \}\right \}\]

✓ Maple : cpu = 0.029 (sec), leaf count = 33

dsolve(diff(y(x),x)^3+x*diff(y(x),x)-y(x)=0,y(x))
 

\[y \left (x \right ) = -\frac {2 \sqrt {-3 x}\, x}{9}\]