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 = 0.0505709 (sec), leaf count = 60

\[\left \{\left \{y(x)\to 2+\sqrt {2} \sqrt {2+c_1} \tanh \left (\frac {1}{2} \left (\sqrt {2} \sqrt {2+c_1} \log (x)-2 \sqrt {2} \sqrt {2+c_1} c_2\right )\right )\right \}\right \}\] Maple : cpu = 0.488 (sec), leaf count = 24

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