2.194   ODE No. 194

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

\[ x \log (x) y'(x)-y(x) \left (2 \log ^2(x)+1\right )-y(x)^2 \log (x)-\log ^3(x)=0 \] Mathematica : cpu = 0.0725777 (sec), leaf count = 30

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

Maple : cpu = 0.024 (sec), leaf count = 23

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