\[ \boxed { \left ( {\it a2}\,x+{\it b2} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {\it a1}\,x+{\it b1} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( {\it a0}\,x+{\it b0} \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.387049 (sec), leaf count = 398 \[ \left \{\left \{y(x)\to c_1 U\left (-\frac {\text {b2} \text {a1}^2-\text {a2} \text {b1} \text {a1}-\sqrt {\text {a1}^2-4 \text {a0} \text {a2}} \text {b2} \text {a1}+2 \text {a2}^2 \text {b0}+\text {a2} \sqrt {\text {a1}^2-4 \text {a0} \text {a2}} \text {b1}-2 \text {a0} \text {a2} \text {b2}-2 \text {a2}^2 \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}}{2 \text {a2}^2 \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}},\frac {\text {a2}^2-\text {b1} \text {a2}+\text {a1} \text {b2}}{\text {a2}^2}+1,\frac {\sqrt {\text {a1}^2-4 \text {a0} \text {a2}} \text {b2}}{\text {a2}^2}+\frac {\sqrt {\text {a1}^2-4 \text {a0} \text {a2}} x}{\text {a2}}\right ) \exp \left (\frac {x \left (-\sqrt {\text {a1}^2-4 \text {a0} \text {a2}}-\text {a1}\right )+\frac {2 \left (\text {a1} \text {b2}+\text {a2}^2-\text {a2} \text {b1}\right ) \log (\text {a2} x+\text {b2})}{\text {a2}}}{2 \text {a2}}\right )+c_2 L_{\frac {-2 \text {a2}^2 \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}+\text {a2} \text {b1} \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}-\text {a1} \text {b2} \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}-2 \text {a0} \text {a2} \text {b2}+\text {a1}^2 \text {b2}-\text {a1} \text {a2} \text {b1}+2 \text {a2}^2 \text {b0}}{2 \text {a2}^2 \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}}}^{\frac {\text {a1} \text {b2}+\text {a2}^2-\text {a2} \text {b1}}{\text {a2}^2}}\left (\frac {\text {b2} \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}}{\text {a2}^2}+\frac {x \sqrt {\text {a1}^2-4 \text {a0} \text {a2}}}{\text {a2}}\right ) \exp \left (\frac {x \left (-\sqrt {\text {a1}^2-4 \text {a0} \text {a2}}-\text {a1}\right )+\frac {2 \left (\text {a1} \text {b2}+\text {a2}^2-\text {a2} \text {b1}\right ) \log (\text {a2} x+\text {b2})}{\text {a2}}}{2 \text {a2}}\right )\right \}\right \} \]
Maple: cpu = 0.141 (sec), leaf count = 287 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {x}{2\,{ \it a2}} \left ( \sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2}}+{\it a1} \right ) }}}{{\sl M}\left ({\frac {1}{2\,{{\it a2}}^{2}} \left ( \left ( {\it a1}\,{\it b2}+2\,{{\it a2}}^{2}-{\it a2}\,{\it b1} \right ) \sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2}}-2\,{{\it a2}}^{ 2}{\it b0}+ \left ( 2\,{\it a0}\,{\it b2}+{\it a1}\,{\it b1} \right ) { \it a2}-{{\it a1}}^{2}{\it b2} \right ) {\frac {1}{\sqrt {-4\,{\it a0} \,{\it a2}+{{\it a1}}^{2}}}}},\,{\frac {{\it a1}\,{\it b2}+2\,{{\it a2 }}^{2}-{\it a2}\,{\it b1}}{{{\it a2}}^{2}}},\,{\frac {{\it a2}\,x+{ \it b2}}{{{\it a2}}^{2}}\sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2}}} \right )} \left ( {\it a2}\,x+{\it b2} \right ) ^{{\frac {{\it a1}\,{\it b2}+{{\it a2}}^{2}-{\it a2}\,{\it b1}}{{{\it a2}}^{2}}}}+{\it \_C2}\,{ {\rm e}^{-{\frac {x}{2\,{\it a2}} \left ( \sqrt {-4\,{\it a0}\,{\it a2} +{{\it a1}}^{2}}+{\it a1} \right ) }}}{{\sl U}\left ({\frac {1}{2\,{{ \it a2}}^{2}} \left ( \left ( {\it a1}\,{\it b2}+2\,{{\it a2}}^{2}-{ \it a2}\,{\it b1} \right ) \sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2} }-2\,{{\it a2}}^{2}{\it b0}+ \left ( 2\,{\it a0}\,{\it b2}+{\it a1}\,{ \it b1} \right ) {\it a2}-{{\it a1}}^{2}{\it b2} \right ) {\frac {1}{ \sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2}}}}},\,{\frac {{\it a1}\,{ \it b2}+2\,{{\it a2}}^{2}-{\it a2}\,{\it b1}}{{{\it a2}}^{2}}},\,{ \frac {{\it a2}\,x+{\it b2}}{{{\it a2}}^{2}}\sqrt {-4\,{\it a0}\,{\it a2}+{{\it a1}}^{2}}}\right )} \left ( {\it a2}\,x+{\it b2} \right ) ^{{ \frac {{\it a1}\,{\it b2}+{{\it a2}}^{2}-{\it a2}\,{\it b1}}{{{\it a2} }^{2}}}} \right \} \]