\[ a+x^3 y'(x)^2+x^2 y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.834565 (sec), leaf count = 123
DSolve[a + x^2*y[x]*Derivative[1][y][x] + x^3*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to -\frac {e^{-\frac {c_1}{2}} \left (x+2 a e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {e^{-\frac {c_1}{2}} \left (x+2 a e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to -\frac {e^{-\frac {c_1}{2}} \left (2 a x+e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {e^{-\frac {c_1}{2}} \left (2 a x+e^{c_1}\right )}{\sqrt {2} x}\right \}\right \}\] ✓ Maple : cpu = 0.548 (sec), leaf count = 66
dsolve(x^3*diff(y(x),x)^2+x^2*y(x)*diff(y(x),x)+a = 0,y(x))
\[y \left (x \right ) = -\frac {2 \sqrt {a x}}{x}\]