\[ x^6 \left (-y(x)^2\right )+x^3 y'(x)-(2 x-3) x^2 y(x)+3=0 \] ✓ Mathematica : cpu = 0.0985881 (sec), leaf count = 29
DSolve[3 - x^2*(-3 + 2*x)*y[x] - x^6*y[x]^2 + x^3*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -\frac {3}{x^3}+\frac {1}{x^3 \left (\frac {1}{4}+c_1 e^{4 x}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.102 (sec), leaf count = 27
dsolve(x^3*diff(y(x),x)-x^6*y(x)^2-(2*x-3)*x^2*y(x)+3 = 0,y(x))
\[y \left (x \right ) = \frac {-3 \,{\mathrm e}^{4 x} c_{1}-3}{x^{3} \left ({\mathrm e}^{4 x} c_{1}-3\right )}\]