\[ -(20 x+30) \left (x^2+3 x\right )^{7/3}+(3 x-1) y'(x)+x (x+3) y''(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.422916 (sec), leaf count = 276
\[\left \{\left \{y(x)\to \frac {4 x^{4/3} \int _1^x\left (45 \sqrt [3]{3} \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {K[1]}{3}\right ) \sqrt [3]{K[1] (K[1]+3)} K[1]^{11/3}+\frac {675}{2} \sqrt [3]{3} \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {K[1]}{3}\right ) \sqrt [3]{K[1] (K[1]+3)} K[1]^{8/3}+810 \sqrt [3]{3} \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {K[1]}{3}\right ) \sqrt [3]{K[1] (K[1]+3)} K[1]^{5/3}+\frac {1215}{2} \sqrt [3]{3} \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {K[1]}{3}\right ) \sqrt [3]{K[1] (K[1]+3)} K[1]^{2/3}\right )dK[1]-27 \sqrt [3]{3} (x (x+3))^{10/3} \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {x}{3}\right )}{4 (x+3)^{7/3}}-\frac {9 \sqrt [3]{3} c_2 \, _2F_1\left (-\frac {4}{3},-\frac {4}{3};-\frac {1}{3};-\frac {x}{3}\right )}{4 (x+3)^{7/3}}+\frac {c_1 x^{4/3}}{(x+3)^{7/3}}\right \}\right \}\] ✓ Maple : cpu = 0.385 (sec), leaf count = 52
\[ \left \{ y \left ( x \right ) ={ \left ( {\it \_C2}+\int \!{\frac {1}{{x}^{2}+3\,x} \left ( {\it \_C1}+3\, \left ( {x}^{2}+3\,x \right ) ^{7/3}x \left ( x+3 \right ) \right ) \left ( x+3 \right ) ^{{\frac {7}{3}}}{x}^{-{\frac {4}{3}}}}\,{\rm d}x \right ) {x}^{{\frac {4}{3}}} \left ( x+3 \right ) ^{-{\frac {7}{3}}}} \right \} \]