2.308   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 = 0.016404 (sec), leaf count = 55

\[\left \{\{y(x)\to 0\},\left \{y(x)\to -\frac {\sqrt {-x^2+4 c_1}}{\sqrt {2}}\right \},\left \{y(x)\to \frac {\sqrt {-x^2+4 c_1}}{\sqrt {2}}\right \}\right \}\] Maple : cpu = 0.018 (sec), leaf count = 37

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