2.155   ODE No. 155

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

\[ \left (x^2-1\right ) y'(x)+y(x)^2-2 x y(x)+1=0 \] Mathematica : cpu = 0.0184058 (sec), leaf count = 47

\[\left \{\left \{y(x)\to \frac {2 c_1 x+x \log (1-x)-x \log (x+1)+2}{2 c_1+\log (1-x)-\log (x+1)}\right \}\right \}\]

Maple : cpu = 0.111 (sec), leaf count = 14

\[ \left \{ y \left ( x \right ) =x+ \left ( {\it \_C1}-{\it Artanh} \left ( x \right ) \right ) ^{-1} \right \} \]