\[ 3 y'(x)^2-2 x y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.164492 (sec), leaf count = 1211
DSolve[y[x] - 2*x*Derivative[1][y][x] + 3*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {x^2}{12}+\frac {1}{12} \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}-\frac {-x^4-216 e^{3 c_1} x}{12 \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}}\right \},\left \{y(x)\to \frac {x^2}{12}-\frac {1}{24} \left (1-i \sqrt {3}\right ) \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}+\frac {\left (1+i \sqrt {3}\right ) \left (-x^4-216 e^{3 c_1} x\right )}{24 \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}}\right \},\left \{y(x)\to \frac {x^2}{12}-\frac {1}{24} \left (1+i \sqrt {3}\right ) \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}+\frac {\left (1-i \sqrt {3}\right ) \left (-x^4-216 e^{3 c_1} x\right )}{24 \sqrt [3]{x^6-540 e^{3 c_1} x^3-5832 e^{6 c_1}+24 \sqrt {3} \sqrt {-e^{3 c_1} x^9+81 e^{6 c_1} x^6-2187 e^{9 c_1} x^3+19683 e^{12 c_1}}}}\right \},\left \{y(x)\to \frac {x^2}{12}+\frac {1}{12} \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}-\frac {5832 e^{3 c_1} x-729 x^4}{8748 \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}}\right \},\left \{y(x)\to \frac {x^2}{12}-\frac {1}{24} \left (1-i \sqrt {3}\right ) \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}+\frac {\left (1+i \sqrt {3}\right ) \left (5832 e^{3 c_1} x-729 x^4\right )}{17496 \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}}\right \},\left \{y(x)\to \frac {x^2}{12}-\frac {1}{24} \left (1+i \sqrt {3}\right ) \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}+\frac {\left (1-i \sqrt {3}\right ) \left (5832 e^{3 c_1} x-729 x^4\right )}{17496 \sqrt [3]{x^6+20 e^{3 c_1} x^3-8 e^{6 c_1}+8 \sqrt {e^{3 c_1} x^9+3 e^{6 c_1} x^6+3 e^{9 c_1} x^3+e^{12 c_1}}}}\right \}\right \}\] ✓ Maple : cpu = 0.251 (sec), leaf count = 554
dsolve(3*diff(y(x),x)^2-2*x*diff(y(x),x)+y(x) = 0,y(x))
\[y \left (x \right ) = -\frac {\left (\frac {x^{2}}{\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}}+x +\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}\right )^{2}}{12}+\frac {x \left (\frac {x^{2}}{\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}}+x +\left (-54 c_{1}+x^{3}+6 \sqrt {-3 x^{3} c_{1}+81 c_{1}^{2}}\right )^{\frac {1}{3}}\right )}{3}\]