ODE No. 1086

$$4y^{″}(x)+9xy(x)=0$$ ✓ Mathematica : cpu = 0.0044427 (sec), leaf count = 42

DSolve[9*x*y[x] + 4*Derivative[2][y][x] == 0,y[x],x]
 

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

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

$$y\left(x\right)=c_1\mathrm{AiryAi}(-\frac{3^{\frac{2}{3}}{2}^{\frac{1}{3}}x}{2})+c_2\mathrm{AiryBi}(-\frac{3^{\frac{2}{3}}{2}^{\frac{1}{3}}x}{2})$$