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 = 0.123744 (sec), leaf count = 46

\[\left \{\left \{y(x)\to -\frac {x \left (1-x^2\right )}{x^2-1}+\frac {1}{\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)+c_1}\right \}\right \}\] Maple : cpu = 0.07 (sec), leaf count = 14

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