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 = 0.197133 (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 = 0.118 (sec), leaf count = 25

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