\[ 3 y'(x)^2-2 x y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.300724 (sec), leaf count = 1093
\[\left \{\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,1\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,2\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,3\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,4\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,5\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+3 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-24 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+243 e^{12 c_1}+48 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,6\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,1\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,2\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,3\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,4\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,5\right ]\right \},\left \{y(x)\to \text {Root}\left [-16 e^{6 c_1} x^6+243 \text {$\#$1}^4 x^4+144 e^{6 c_1} \text {$\#$1} x^4-1944 \text {$\#$1}^5 x^2-378 e^{6 c_1} \text {$\#$1}^2 x^2+3 e^{12 c_1}+3888 \text {$\#$1}^6+216 e^{6 c_1} \text {$\#$1}^3\& ,6\right ]\right \}\right \}\] ✓ Maple : cpu = 0.044 (sec), leaf count = 580
\[y \relax (x ) = -\frac {\left (\frac {x^{2}}{\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}}+x +\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}\right )^{2}}{12}+\frac {x \left (\frac {x^{2}}{\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}}+x +\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}\right )}{3}\]