2.310   ODE No. 310

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

\[ \text {Global$\grave { }$x}^3+\left (5 \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+5 \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2=0 \] Mathematica : cpu = 0.0430517 (sec), leaf count = 159

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to -\frac {\sqrt {-\sqrt {2 e^{4 c_1}+23 \text {Global$\grave { }$x}^4}-5 \text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {\sqrt {-\sqrt {2 e^{4 c_1}+23 \text {Global$\grave { }$x}^4}-5 \text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to -\frac {\sqrt {\sqrt {2 e^{4 c_1}+23 \text {Global$\grave { }$x}^4}-5 \text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {\sqrt {\sqrt {2 e^{4 c_1}+23 \text {Global$\grave { }$x}^4}-5 \text {Global$\grave { }$x}^2}}{\sqrt {2}}\right \}\right \}\]

Maple : cpu = 0.177 (sec), leaf count = 125

\[ \left \{ y \left ( x \right ) =-{\frac {1}{2}\sqrt {-10\,{x}^{2}{\it \_C1}-2\,\sqrt {23\,{x}^{4}{{\it \_C1}}^{2}+2}}{\frac {1}{\sqrt {{\it \_C1}}}}},y \left ( x \right ) ={\frac {1}{2}\sqrt {-10\,{x}^{2}{\it \_C1}-2\,\sqrt {23\,{x}^{4}{{\it \_C1}}^{2}+2}}{\frac {1}{\sqrt {{\it \_C1}}}}},y \left ( x \right ) =-{\frac {1}{2}\sqrt {-10\,{x}^{2}{\it \_C1}+2\,\sqrt {23\,{x}^{4}{{\it \_C1}}^{2}+2}}{\frac {1}{\sqrt {{\it \_C1}}}}},y \left ( x \right ) ={\frac {1}{2}\sqrt {-10\,{x}^{2}{\it \_C1}+2\,\sqrt {23\,{x}^{4}{{\it \_C1}}^{2}+2}}{\frac {1}{\sqrt {{\it \_C1}}}}} \right \} \]