2.1668   ODE No. 1668

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

\[ x y''(x)-(1-y(x)) y'(x)=0 \] Mathematica : cpu = 0.0714264 (sec), leaf count = 46

\[\left \{\left \{y(x)\to 2-\sqrt {2} \sqrt {c_1+2} \tanh \left (\frac {\sqrt {c_1+2} \left (2 c_2-\log (x)\right )}{\sqrt {2}}\right )\right \}\right \}\]

Maple : cpu = 0.162 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={\frac {1}{{\it \_C1}} \left ( 2\,{\it \_C1}+\tanh \left ( {\frac {\ln \left ( x \right ) -{\it \_C2}}{2\,{\it \_C1}}} \right ) \right ) } \right \} \]