ODE No. 165

\[ x (2 x-1) y'(x)+y(x)^2-(4 x+1) y(x)+4 x=0 \]

✓ Mathematica : cpu = 0.0939428 (sec), leaf count = 22

DSolve[4*x - (1 + 4*x)*y[x] + y[x]^2 + x*(-1 + 2*x)*Derivative[1][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.022 (sec), leaf count = 17

dsolve(x*(2*x-1)*diff(y(x),x)+y(x)^2-(4*x+1)*y(x)+4*x = 0,y(x))

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