\[ y'(x)^3-2 y(x) y'(x)+y(x)^2=0 \] ✓ Mathematica : cpu = 0.012119 (sec), leaf count = 422
DSolve[y[x]^2 - 2*y[x]*Derivative[1][y][x] + Derivative[1][y][x]^3 == 0,y[x],x]
\[\left \{\left \{y(x)\to \text {InverseFunction}\left [\int \frac {\sqrt [3]{\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2}}{\sqrt [3]{2} \left (\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2\right )^{2/3}+4 \sqrt [3]{3} \text {$\#$1}}d\text {$\#$1}\& \right ]\left [\frac {x}{6^{2/3}}+c_1\right ]\right \},\left \{y(x)\to \text {InverseFunction}\left [\int \frac {\sqrt [3]{\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2}}{\sqrt [3]{2} 3^{2/3} \left (\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2\right )^{2/3}-\sqrt [3]{2} \sqrt [6]{3} i \left (\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2\right )^{2/3}-12 \text {$\#$1}-4 i \text {$\#$1} \sqrt {3}}d\text {$\#$1}\& \right ]\left [c_1-\frac {i x}{2\ 2^{2/3} 3^{5/6}}\right ]\right \},\left \{y(x)\to \text {InverseFunction}\left [\int \frac {\sqrt [3]{\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2}}{\sqrt [3]{2} 3^{2/3} \left (\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2\right )^{2/3}+\sqrt [3]{2} \sqrt [6]{3} i \left (\sqrt {3} \sqrt {\text {$\#$1}^3 (27 \text {$\#$1}-32)}-9 \text {$\#$1}^2\right )^{2/3}-12 \text {$\#$1}+4 i \text {$\#$1} \sqrt {3}}d\text {$\#$1}\& \right ]\left [\frac {i x}{2\ 2^{2/3} 3^{5/6}}+c_1\right ]\right \}\right \}\] ✓ Maple : cpu = 0.063 (sec), leaf count = 257
dsolve(diff(y(x),x)^3-2*y(x)*diff(y(x),x)+y(x)^2=0,y(x))
\[x -\left (\int _{}^{y \left (x \right )}\frac {6 \left (-108 \textit {\_a}^{2}+12 \sqrt {3}\, \sqrt {27 \textit {\_a}^{4}-32 \textit {\_a}^{3}}\right )^{\frac {1}{3}}}{\left (-108 \textit {\_a}^{2}+12 \sqrt {3}\, \sqrt {27 \textit {\_a}^{4}-32 \textit {\_a}^{3}}\right )^{\frac {2}{3}}+24 \textit {\_a}}d \textit {\_a} \right )-c_{1} = 0\]