\[ x^3 y'(x)+x^6 \left (-y(x)^2\right )-(2 x-3) x^2 y(x)+3=0 \] ✓ Mathematica : cpu = 0.0859405 (sec), leaf count = 29
\[\left \{\left \{y(x)\to -\frac {3}{x^3}+\frac {1}{x^3 \left (\frac {1}{4}+c_1 e^{4 x}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.037 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\frac {-3\, \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}-3}{{x}^{3} \left ( \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}-3 \right ) }} \right \} \]