\[ 6 x y(x)^2 y'(x)+2 y(x)^3+x=0 \] ✓ Mathematica : cpu = 0.0937339 (sec), leaf count = 99
DSolve[x + 2*y[x]^3 + 6*x*y[x]^2*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} \sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to \frac {(-1)^{2/3} \sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \}\right \}\] ✓ Maple : cpu = 0.025 (sec), leaf count = 83
dsolve(6*x*y(x)^2*diff(y(x),x)+2*y(x)^3+x = 0,y(x))
\[y \left (x \right ) = \frac {\left (-2 \left (x^{2}-4 c_{1}\right ) x^{2}\right )^{\frac {1}{3}}}{2 x}\]