2.838   ODE No. 838

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

\[ y'(x)=\frac {-\frac {4}{5} x^3 y(x)+\frac {4 x^6}{25}+\frac {8 x^{7/2}}{5}+\frac {6 x^3}{5}-4 \sqrt {x} y(x)+y(x)^2+4 x+\sqrt {x}}{x} \] Mathematica : cpu = 0.149169 (sec), leaf count = 31

\[\left \{\left \{y(x)\to \frac {2}{5} \sqrt {x} \left (x^{5/2}+5\right )+\frac {1}{-\log (x)+c_1}\right \}\right \}\] Maple : cpu = 0.154 (sec), leaf count = 25

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