2.1086   ODE No. 1086

\[ 4 y''(x)+9 x y(x)=0 \]

✓ Mathematica : cpu = 0.0045385 (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 = 0.032 (sec), leaf count = 29

dsolve(4*diff(diff(y(x),x),x)+9*x*y(x)=0,y(x))
 

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