ODE No. 207

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

✓ Mathematica : cpu = 0.111038 (sec), leaf count = 47

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

\[\left \{\left \{y(x)\to -\sqrt {-4 x^2+c_1 e^{-2 x}}\right \},\left \{y(x)\to \sqrt {-4 x^2+c_1 e^{-2 x}}\right \}\right \}\]

✓ Maple : cpu = 0.02 (sec), leaf count = 37

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

\[y \left (x \right ) = \sqrt {{\mathrm e}^{-2 x} c_{1} -4 x^{2}}\]