2.521   ODE No. 521

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)^3+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0035012 (sec), leaf count = 14

\[\left \{\left \{y(x)\to c_1 x+c_1{}^3\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 33

\[\left \{y \left (x \right ) = c_{1} \left (c_{1}^{2}+x \right ), y \left (x \right ) = -\frac {2 \sqrt {-3 x}\, x}{9}, y \left (x \right ) = \frac {2 \sqrt {-3 x}\, x}{9}\right \}\]