2.1086   ODE No. 1086

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ 4 y''(x)+9 x y(x)=0 \] Mathematica : cpu = 0.0054594 (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 = 0.023 (sec), leaf count = 29

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