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 = 0.00432108 (sec), leaf count = 14

\[\left \{\left \{y(x)\to c_1 \left (c_1^2+x\right )\right \}\right \}\]

Maple : cpu = 0.031 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {{\it \_C1}}^{2}+x \right ) ,y \left ( x \right ) =-{\frac {2\,x}{9}\sqrt {-3\,x}},y \left ( x \right ) ={\frac {2\,x}{9}\sqrt {-3\,x}} \right \} \]