\[ 2 x y(x) y'(x)+2 y(x)^2+1=0 \] ✓ Mathematica : cpu = 0.0835599 (sec), leaf count = 60
DSolve[1 + 2*y[x]^2 + 2*x*y[x]*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -\frac {\sqrt {-x^2+e^{4 c_1}}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {-x^2+e^{4 c_1}}}{\sqrt {2} x}\right \}\right \}\] ✓ Maple : cpu = 0.021 (sec), leaf count = 39
dsolve(2*x*y(x)*diff(y(x),x)+2*y(x)^2+1 = 0,y(x))
\[y \left (x \right ) = -\frac {\sqrt {-2 x^{2}+4 c_{1}}}{2 x}\]