2.855   ODE No. 855

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

\[ y'(x)=\frac {y(x) \left (x^3 \log ^2(y(x))+2 x^3 \log (x) \log (y(x))+x^3 \log ^2(x)+\log (y(x))+\log (x)-1\right )}{x} \] Mathematica : cpu = 0.160301 (sec), leaf count = 24

\[\left \{\left \{y(x)\to \frac {e^{-\frac {4 x}{x^4+4 c_1}}}{x}\right \}\right \}\] Maple : cpu = 0.244 (sec), leaf count = 51

\[\left \{y \left (x \right ) = x^{-\frac {4 c_{1}}{x^{4}+4 c_{1}}} x^{-\frac {x^{4}}{x^{4}+4 c_{1}}} {\mathrm e}^{-\frac {4 x}{x^{4}+4 c_{1}}}\right \}\]