3.156   ODE No. 156

\[ \boxed { \left ( {x}^{2}-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \left ( y \left ( x \right ) -x \right ) =0} \]

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

Mathematica: cpu = 0.016002 (sec), leaf count = 21 \[ \left \{\left \{y(x)\to \frac {1}{c_1 \sqrt {x^2-1}+x}\right \}\right \} \]

Maple: cpu = 0.016 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) = \left ( \sqrt {x-1}\sqrt {1+x}{\it \_C1}+ x \right ) ^{-1} \right \} \]