\[ y'(x)=\frac {a x^4+a e^x x^3+a x^3-x^2 y(x)^2-e^x x y(x)^2-x y(x)^2+y(x)}{x} \] ✓ Mathematica : cpu = 0.0498359 (sec), leaf count = 48
\[\left \{\left \{y(x)\to \sqrt {a} x \tanh \left (\frac {1}{6} \sqrt {a} \left (6 c_1+2 x^3+3 x^2+6 e^x x-6 e^x\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.047 (sec), leaf count = 46
\[ \left \{ y \left ( x \right ) =\tanh \left ( {\frac {{x}^{3}}{3}\sqrt {a}}+x{{\rm e}^{x}}\sqrt {a}+{\frac {{x}^{2}}{2}\sqrt {a}}-{{\rm e}^{x}}\sqrt {a}+\sqrt {a}{\it \_C1} \right ) x\sqrt {a} \right \} \]