ODE No. 308

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

\[ 2 y(x)^3 y'(x)+x y(x)^2=0 \] Mathematica : cpu = 0.0072518 (sec), leaf count = 55

\[\left \{\{y(x)\to 0\},\left \{y(x)\to -\frac {\sqrt {4 c_1-x^2}}{\sqrt {2}}\right \},\left \{y(x)\to \frac {\sqrt {4 c_1-x^2}}{\sqrt {2}}\right \}\right \}\] Maple : cpu = 0.038 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) =0,y \left ( x \right ) =-{\frac {1}{2}\sqrt {-2\,{x}^{2}+4\,{\it \_C1}}},y \left ( x \right ) ={\frac {1}{2}\sqrt {-2\,{x}^{2}+4\,{\it \_C1}}} \right \} \]