2.1185   ODE No. 1185

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

$$x^2{y}^{″}(x)-(2x^3-4)y(x)+5x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0310984 (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 = 0.026 (sec), leaf count = 33

$$\{y\left(x\right)=\frac{1}{x^2}(\mathit{\_}\mathit{C}\mathit{2}{\mathit{K}}_0\left(\frac{2\sqrt{2}}{3}{x}^{\frac{3}{2}}\right)+\mathit{\_}\mathit{C}\mathit{1}{\mathit{I}}_0\left(\frac{2\sqrt{2}}{3}{x}^{\frac{3}{2}}\right))\}$$