\[ \boxed { {x}^{6}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +6\,{x}^{5}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +ay \left ( x \right ) =0} \]
Mathematica: cpu = 0.439556 (sec), leaf count = 102 \[ \left \{\left \{y(x)\to c_1 e^{\frac {\sqrt [3]{a}}{x}} \left (2 x-\sqrt [3]{a}\right )+c_2 e^{\frac {(-1)^{2/3} \sqrt [3]{a}}{x}} \left (x-\frac {1}{2} (-1)^{2/3} \sqrt [3]{a}\right )+c_3 e^{-\frac {\sqrt [3]{-1} \sqrt [3]{a}}{x}} \left (\frac {1}{2} \sqrt [3]{-1} \sqrt [3]{a}+x\right )\right \}\right \} \]
Maple: cpu = 0.437 (sec), leaf count = 291 \[ \left \{ y \left ( x \right ) ={{\it \_C1}\, \left ( -8\,{x}^{3}+a \right ) ^{4}{{\rm e}^{-{\frac {1}{ax}\sqrt [3]{-{a}^{4}}}}} \left ( 2 \,ax+\sqrt [3]{-{a}^{4}} \right ) ^{-3} \left ( 4\,{a}^{2}{x}^{2}-2\,x \sqrt [3]{-{a}^{4}}a+ \left ( -{a}^{4} \right ) ^{{\frac {2}{3}}} \right ) ^{-4}}+{{\it \_C2}\, \left ( -8\,{x}^{3}+a \right ) ^{4}{ {\rm e}^{{\frac {-{\frac {i}{2}} \left ( i-\sqrt {3} \right ) }{ax} \sqrt [3]{-{a}^{4}}}}} \left ( -4\,ixa+i\sqrt [3]{-{a}^{4}}-\sqrt [3]{- {a}^{4}}\sqrt {3} \right ) ^{-3} \left ( \sqrt [3]{-{a}^{4}}\sqrt {3}-4 \,ixa+i\sqrt [3]{-{a}^{4}} \right ) ^{-4} \left ( 2\,ax+\sqrt [3]{-{a}^{ 4}} \right ) ^{-4}}+{{\it \_C3}\, \left ( -8\,{x}^{3}+a \right ) ^{4}{ {\rm e}^{{\frac {-{\frac {i}{2}} \left ( \sqrt {3}+i \right ) }{ax} \sqrt [3]{-{a}^{4}}}}} \left ( \sqrt [3]{-{a}^{4}}\sqrt {3}-4\,ixa+i \sqrt [3]{-{a}^{4}} \right ) ^{-3} \left ( -4\,ixa+i\sqrt [3]{-{a}^{4}}- \sqrt [3]{-{a}^{4}}\sqrt {3} \right ) ^{-4} \left ( 2\,ax+\sqrt [3]{-{a} ^{4}} \right ) ^{-4}} \right \} \]