\[ -2 x^2 y'(x)+2 y'(x)^2+3 x y(x)=0 \] ✓ Mathematica : cpu = 0.428789 (sec), leaf count = 135
DSolve[3*x*y[x] - 2*x^2*Derivative[1][y][x] + 2*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\text {Solve}\left [\frac {1}{3} \log (y(x))-\frac {2 \sqrt {x^4-6 x y(x)} \tanh ^{-1}\left (\frac {x^{3/2}}{\sqrt {x^3-6 y(x)}}\right )}{3 \sqrt {x} \sqrt {x^3-6 y(x)}}=c_1,y(x)\right ],\text {Solve}\left [\frac {2 \sqrt {x^4-6 x y(x)} \tanh ^{-1}\left (\frac {x^{3/2}}{\sqrt {x^3-6 y(x)}}\right )}{3 \sqrt {x} \sqrt {x^3-6 y(x)}}+\frac {1}{3} \log (y(x))=c_1,y(x)\right ]\right \}\] ✓ Maple : cpu = 0.199 (sec), leaf count = 74
dsolve(2*diff(y(x),x)^2-2*x^2*diff(y(x),x)+3*x*y(x) = 0,y(x))
\[y \left (x \right ) = \frac {x^{3}}{6}\]