\[ -4 e^x \sqrt {x^3}+4 x^2 y''(x)-\left (4 x^2+1\right ) y(x)+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0333451 (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 = 0.181 (sec), leaf count = 31
\[\left \{y \left (x \right ) = \frac {c_{1} \cosh \left (x \right )}{\sqrt {x}}+\frac {c_{2} \sinh \left (x \right )}{\sqrt {x}}+\frac {\sqrt {x^{3}}\, {\mathrm e}^{x}}{2 x}\right \}\]