\[ y'(x)=\frac {a x^4+a e^x x^3+a x^3-x^2 y(x)^2-e^x x y(x)^2-x y(x)^2+y(x)}{x} \] ✓ Mathematica : cpu = 0.316757 (sec), leaf count = 48
\[\left \{\left \{y(x)\to \sqrt {a} x \tanh \left (\frac {1}{6} \sqrt {a} \left (2 x^3+3 x^2+6 e^x x-6 e^x+6 c_1\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.232 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) =\tanh \left ( {\frac { \left ( 6\,x-6 \right ) {{\rm e}^{x}}+2\,{x}^{3}+3\,{x}^{2}+6\,{\it \_C1}}{6}\sqrt {a}} \right ) x\sqrt {a} \right \} \]