2.308   ODE No. 308

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

\[ 2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3 \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2=0 \] Mathematica : cpu = 0.0067865 (sec), leaf count = 55

\[\left \{\{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to 0\},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to -\frac {\sqrt {4 c_1-\text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {\sqrt {4 c_1-\text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \}\right \}\]

Maple : cpu = 0.014 (sec), leaf count = 37

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