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 = 0.954642 (sec), leaf count = 25

\[\left \{\left \{y(x)\to \frac {\tan (\log (x)+c_1)}{1+\log (x) \tan (\log (x)+c_1)}\right \}\right \}\] Maple : cpu = 0.253 (sec), leaf count = 35

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