2.177   ODE No. 177

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

\[ (x-1) x^2 y'(x)-(x-2) x y(x)-y(x)^2=0 \] Mathematica : cpu = 0.016476 (sec), leaf count = 20

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

Maple : cpu = 0.026 (sec), leaf count = 17

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