2.842   ODE No. 842

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

\[ y'(x)=\frac {2 x^2 y(x) \log ^2(x)+x^2 y(x)^2 \log (x)+x^2 \log ^3(x)+y(x)}{x \log (x)} \] Mathematica : cpu = 0.118365 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {\log (x) \left (-4 \left (c_1+1\right )+x^2-2 x^2 \log (x)\right )}{4 c_1-x^2+2 x^2 \log (x)}\right \}\right \}\]

Maple : cpu = 0.029 (sec), leaf count = 43

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