2.1086   ODE No. 1086

\[ 4 y''(x)+9 x y(x)=0 \] Mathematica : cpu = 0.0044427 (sec), leaf count = 42


\[\left \{\left \{y(x)\to c_1 \text {Ai}\left (\sqrt [3]{-1} \left (\frac {3}{2}\right )^{2/3} x\right )+c_2 \text {Bi}\left (\sqrt [3]{-1} \left (\frac {3}{2}\right )^{2/3} x\right )\right \}\right \}\] Maple : cpu = 0.021 (sec), leaf count = 29


\[y \relax (x ) = c_{1} \AiryAi \left (-\frac {3^{\frac {2}{3}} 2^{\frac {1}{3}} x}{2}\right )+c_{2} \AiryBi \left (-\frac {3^{\frac {2}{3}} 2^{\frac {1}{3}} x}{2}\right )\]