ODE No. 177

\[ (x-1) x^2 y'(x)-(x-2) x y(x)-y(x)^2=0 \]

✓ Mathematica : cpu = 0.0796831 (sec), leaf count = 22

DSolve[-((-2 + x)*x*y[x]) - y[x]^2 + (-1 + x)*x^2*Derivative[1][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.024 (sec), leaf count = 17

dsolve(x^2*(x-1)*diff(y(x),x)-y(x)^2-x*(x-2)*y(x) = 0,y(x))

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