\[ y'(x)^2-2 x y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.383598 (sec), leaf count = 1757
\[\left \{\left \{y(x)\to \frac {x^2}{4}+\frac {1}{4} \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}-\frac {-9 x^4-72 \cosh (3 c_1) x-72 \sinh (3 c_1) x}{36 \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \},\left \{y(x)\to \frac {x^2}{4}-\frac {1}{8} \left (1-i \sqrt {3}\right ) \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}+\frac {\left (1+i \sqrt {3}\right ) \left (-9 x^4-72 \cosh (3 c_1) x-72 \sinh (3 c_1) x\right )}{72 \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \},\left \{y(x)\to \frac {x^2}{4}-\frac {1}{8} \left (1+i \sqrt {3}\right ) \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}+\frac {\left (1-i \sqrt {3}\right ) \left (-9 x^4-72 \cosh (3 c_1) x-72 \sinh (3 c_1) x\right )}{72 \sqrt [3]{x^6-20 \cosh (3 c_1) x^3-20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {-\cosh (3 c_1) x^9-\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6-3 \cosh (9 c_1) x^3-3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \},\left \{y(x)\to \frac {x^2}{4}+\frac {1}{4} \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}-\frac {-9 x^4+72 \cosh (3 c_1) x+72 \sinh (3 c_1) x}{36 \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \},\left \{y(x)\to \frac {x^2}{4}-\frac {1}{8} \left (1-i \sqrt {3}\right ) \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}+\frac {\left (1+i \sqrt {3}\right ) \left (-9 x^4+72 \cosh (3 c_1) x+72 \sinh (3 c_1) x\right )}{72 \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \},\left \{y(x)\to \frac {x^2}{4}-\frac {1}{8} \left (1+i \sqrt {3}\right ) \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}+\frac {\left (1-i \sqrt {3}\right ) \left (-9 x^4+72 \cosh (3 c_1) x+72 \sinh (3 c_1) x\right )}{72 \sqrt [3]{x^6+20 \cosh (3 c_1) x^3+20 \sinh (3 c_1) x^3-8 \cosh (6 c_1)-8 \sinh (6 c_1)+8 \sqrt {\cosh (3 c_1) x^9+\sinh (3 c_1) x^9+3 \cosh (6 c_1) x^6+3 \sinh (6 c_1) x^6+3 \cosh (9 c_1) x^3+3 \sinh (9 c_1) x^3+\cosh (12 c_1)+\sinh (12 c_1)}}}\right \}\right \}\] ✓ Maple : cpu = 0.029 (sec), leaf count = 579
\[ \left \{ y \left ( x \right ) =-{\frac {1}{16} \left ( i\sqrt {3} \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-i\sqrt {3}{x}^{2}- \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}+2\,x\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}-{x}^{2} \right ) \left ( i\sqrt {3} \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-i\sqrt {3}{x}^{2}- \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-6\,x\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}-{x}^{2} \right ) \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{-{\frac {2}{3}}}},y \left ( x \right ) =-{\frac {1}{16} \left ( i\sqrt {3} \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-i\sqrt {3}{x}^{2}+ \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-2\,x\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}+{x}^{2} \right ) \left ( i\sqrt {3} \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}-i\sqrt {3}{x}^{2}+ \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{{\frac {2}{3}}}+6\,x\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}+{x}^{2} \right ) \left ( -6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}} \right ) ^{-{\frac {2}{3}}}},y \left ( x \right ) =-{\frac {1}{4} \left ( {{x}^{2}{\frac {1}{\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}}}}+x+\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}} \right ) ^{2}}+x \left ( {{x}^{2}{\frac {1}{\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}}}}}+x+\sqrt [3]{-6\,{\it \_C1}+{x}^{3}+2\,\sqrt {-3\,{\it \_C1}\,{x}^{3}+9\,{{\it \_C1}}^{2}}} \right ) \right \} \]