\[ 2 a x y'(x)+a y(x)+y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0056137 (sec), leaf count = 79
\[\left \{\left \{y(x)\to c_1 \text {Ai}\left (\sqrt [3]{-\frac {1}{2}} \sqrt [3]{a} x\right )^2+c_3 \text {Bi}\left (\sqrt [3]{-\frac {1}{2}} \sqrt [3]{a} x\right )^2+c_2 \text {Ai}\left (\sqrt [3]{-\frac {1}{2}} \sqrt [3]{a} x\right ) \text {Bi}\left (\sqrt [3]{-\frac {1}{2}} \sqrt [3]{a} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.047 (sec), leaf count = 55
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {{\rm Ai}\left (-{\frac {{2}^{{\frac {2}{3}}}x}{2}\sqrt [3]{a}}\right )} \right ) ^{2}+{\it \_C2}\, \left ( {{\rm Bi}\left (-{\frac {{2}^{{\frac {2}{3}}}x}{2}\sqrt [3]{a}}\right )} \right ) ^{2}+{\it \_C3}\,{{\rm Ai}\left (-{\frac {{2}^{{\frac {2}{3}}}x}{2}\sqrt [3]{a}}\right )}{{\rm Bi}\left (-{\frac {{2}^{{\frac {2}{3}}}x}{2}\sqrt [3]{a}}\right )} \right \} \]