4.185   ODE No. 1185

$$\boxed{{\displaystyle x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+5x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(2x^3-4)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.036005 (sec), leaf count = 67 $$\left\{\{y(x)\to \frac{3\sqrt[3]{6}{c}_2{K}_0\left(\frac{2}{3}\sqrt{2}{x}^{3/2}\right)}{x^2}-\frac{3\sqrt[3]{-3}{c}_1{I}_0\left(\frac{2}{3}\sqrt{2}{x}^{3/2}\right)}{2^{2/3}{x}^2}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 35 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x^2}{\mathit{I}}_0\left(\frac{2\sqrt{2}}{3}{x}^{\frac{3}{2}}\right)+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x^2}{\mathit{K}}_0\left(\frac{2\sqrt{2}}{3}{x}^{\frac{3}{2}}\right)\}$$