\[ 4 y''(x)+9 x y(x)=0 \] ✓ Mathematica : cpu = 0.0044427 (sec), leaf count = 42
DSolve[9*x*y[x] + 4*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \text {Ai}\left (\sqrt [3]{-1} \left (\frac {3}{2}\right )^{2/3} x\right )+c_2 \text {Bi}\left (\sqrt [3]{-1} \left (\frac {3}{2}\right )^{2/3} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.021 (sec), leaf count = 29
dsolve(4*diff(diff(y(x),x),x)+9*x*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \AiryAi \left (-\frac {3^{\frac {2}{3}} 2^{\frac {1}{3}} x}{2}\right )+c_{2} \AiryBi \left (-\frac {3^{\frac {2}{3}} 2^{\frac {1}{3}} x}{2}\right )\]