2.1162   ODE No. 1162

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

$$(x^2-v^2)y(x)+x^2{y}^{″}(x)+x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.042314 (sec), leaf count = 18

$$\{\{y(x)\to c_1{J}_v(x)+c_2{Y}_v(x)\}\}$$ ✓ Maple : cpu = 0.01 (sec), leaf count = 15

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_v\left(x\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{Y}}_v\left(x\right)\}$$