\[ x^6 \left (-y(x)^2\right )+x^3 y'(x)-(2 x-3) x^2 y(x)+3=0 \] ✓ Mathematica : cpu = 0.0985881 (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 = 0.102 (sec), leaf count = 27
\[y \relax (x ) = \frac {-3 \,{\mathrm e}^{4 x} c_{1}-3}{x^{3} \left ({\mathrm e}^{4 x} c_{1}-3\right )}\]