\[ 4 x^2 y''(x)-\left (4 x^2+1\right ) y(x)-4 e^x \sqrt {x^3}+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0290308 (sec), leaf count = 55
\[\left \{\left \{y(x)\to \frac {e^x \sqrt {x^3} (2 x-1)}{4 x^2}+\frac {c_1 e^{-x}}{\sqrt {x}}+\frac {c_2 e^x}{2 \sqrt {x}}\right \}\right \}\] ✓ Maple : cpu = 0.287 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\sinh \left ( x \right ) {\it \_C2}{\frac {1}{\sqrt {x}}}}+{\cosh \left ( x \right ) {\it \_C1}{\frac {1}{\sqrt {x}}}}+{\frac {{{\rm e}^{x}}}{2\,x}\sqrt {{x}^{3}}} \right \} \]