2.838   ODE No. 838

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

\[ y'(x)=\frac {\frac {8 x^{7/2}}{5}+\frac {4 x^6}{25}-\frac {4}{5} x^3 y(x)+\frac {6 x^3}{5}-4 \sqrt {x} y(x)+y(x)^2+4 x+\sqrt {x}}{x} \] Mathematica : cpu = 0.0296584 (sec), leaf count = 31

\[\left \{\left \{y(x)\to \frac {1}{c_1-\log (x)}+\frac {2}{5} \sqrt {x} \left (x^{5/2}+5\right )\right \}\right \}\]

Maple : cpu = 0.104 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) =-{\frac {x}{2} \left ( -{\frac {4\,{x}^{2}}{5}}-4\,{\frac {1}{\sqrt {x}}} \right ) }+ \left ( {\it \_C1}-\ln \left ( x \right ) \right ) ^{-1} \right \} \]