\[ x^3 y'(x)-x^2 y(x)+y(x) y'(x)^2=0 \] ✓ Mathematica : cpu = 0.382072 (sec), leaf count = 143
DSolve[-(x^2*y[x]) + x^3*Derivative[1][y][x] + y[x]*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\text {Solve}\left [\frac {1}{2} \log (y(x))-\frac {\sqrt {x^6+4 x^2 y(x)^2} \tanh ^{-1}\left (\frac {x^2}{\sqrt {x^4+4 y(x)^2}}\right )}{2 x \sqrt {x^4+4 y(x)^2}}=c_1,y(x)\right ],\text {Solve}\left [\frac {\sqrt {x^6+4 x^2 y(x)^2} \tanh ^{-1}\left (\frac {x^2}{\sqrt {x^4+4 y(x)^2}}\right )}{2 x \sqrt {x^4+4 y(x)^2}}+\frac {1}{2} \log (y(x))=c_1,y(x)\right ]\right \}\] ✓ Maple : cpu = 0.573 (sec), leaf count = 87
dsolve(y(x)*diff(y(x),x)^2+x^3*diff(y(x),x)-x^2*y(x) = 0,y(x))
\[y \left (x \right ) = -\frac {i x^{2}}{2}\]