2.843   ODE No. 843

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

\[ y'(x)=\frac {2 x^3 y(x) \log ^2(x)+x^3 y(x)^2 \log (x)+x^3 \log ^3(x)+y(x)}{x \log (x)} \] Mathematica : cpu = 0.124244 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {\log (x) \left (-9 \left (c_1+1\right )+x^3-3 x^3 \log (x)\right )}{9 c_1-x^3+3 x^3 \log (x)}\right \}\right \}\]

Maple : cpu = 0.028 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) =-{\frac {\ln \left ( x \right ) \left ( 6\,{x}^{3}\ln \left ( x \right ) -2\,{x}^{3}+9\,{\it \_C1}+18 \right ) }{6\,{x}^{3}\ln \left ( x \right ) -2\,{x}^{3}+9\,{\it \_C1}}} \right \} \]