2.1274   ODE No. 1274

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

$$(x-v^2)y(x)+4x^2{y}^{″}(x)+4x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0343216 (sec), leaf count = 38

$$\left\{\{y(x)\to c_1\mathrm{\Gamma }(1-v)J_{-v}\left(\sqrt{x}\right)+c_2\mathrm{\Gamma }(v+1)J_v\left(\sqrt{x}\right)\}\right\}$$ ✓ Maple : cpu = 0.009 (sec), leaf count = 19

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