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 = 0.104475 (sec), leaf count = 22

\[\left \{\left \{y(x)\to -\frac {x^2}{c_1 x-1-c_1}\right \}\right \}\] Maple : cpu = 0.021 (sec), leaf count = 17

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