2.1477   ODE No. 1477

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

$$x{y}^{(3)}(x)+3y^{″}(x)+xy(x)=0$$ ✓ Mathematica : cpu = 0.128312 (sec), leaf count = 48

$$\left\{\{y(x)\to \frac{c_1{e}^{-x}}{x}+\frac{c_2{e}^{\sqrt[3]{-1}x}}{x}+\frac{c_3{e}^{-(-1{)}^{2/3}x}}{x}\}\right\}$$ ✓ Maple : cpu = 0.012 (sec), leaf count = 41

$$\{y\left(x\right)=\frac{1}{x}(\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{x}{2}}\sin \left(\frac{\sqrt{3}x}{2}\right)+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{\frac{x}{2}}\cos \left(\frac{\sqrt{3}x}{2}\right))\}$$