2.1668   ODE No. 1668

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

\[ x y''(x)+(y(x)-1) y'(x)=0 \] Mathematica : cpu = 0.0587082 (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 = 1.286 (sec), leaf count = 24

\[\left \{y \left (x \right ) = \frac {2 c_{1}+\tanh \left (\frac {-c_{2}+\ln \left (x \right )}{2 c_{1}}\right )}{c_{1}}\right \}\]