2.627   ODE No. 627

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

\[ y'(x)=\frac {(y(x) \log (x)-1)^2}{x} \] Mathematica : cpu = 0.811084 (sec), leaf count = 25

\[\left \{\left \{y(x)\to \frac {\tan (c_1+\log (x))}{\log (x) \tan (c_1+\log (x))+1}\right \}\right \}\] Maple : cpu = 0.153 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) ={\frac {\sin \left ( \ln \left ( x \right ) \right ) {\it \_C1}+\cos \left ( \ln \left ( x \right ) \right ) }{ \left ( {\it \_C1}+\ln \left ( x \right ) \right ) \cos \left ( \ln \left ( x \right ) \right ) +\sin \left ( \ln \left ( x \right ) \right ) \left ( \ln \left ( x \right ) {\it \_C1}-1 \right ) }} \right \} \]