2.1408   ODE No. 1408

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

$$y^{″}(x)=-\frac{y(x)(A{x}^2+B)}{x(x^2-\text{a1})(x^2-\text{a2})(x^2-\text{a3})}-\frac{y^{\prime }(x)(x^2((x^2-\text{a1})(x^2-\text{a2})+(x^2-\text{a1})(x^2-\text{a3})+(x^2-\text{a2})(x^2-\text{a3}))+(\text{a1}-x^2)(x^2-\text{a2})(x^2-\text{a3}))}{x(x^2-\text{a1})(x^2-\text{a2})(x^2-\text{a3})}$$ ✗ Mathematica : cpu = 50.8363 (sec), leaf count = 0 , DifferentialRoot result

$$\left\{\{y(x)\to (x)\}\right\}$$

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

$$\{y\left(x\right)=\mathit{DESol}(\{\frac{d^2}{d{x}^2}\mathit{\text{\_Y}}\left(x\right)+\frac{(A{x}^2+B)\mathit{\text{\_Y}}\left(x\right)}{(x^2-\mathit{a}\mathit{1})(x^2-\mathit{a}\mathit{2})(x^2-\mathit{a}\mathit{3})x}+\frac{(((x^2-\mathit{a}\mathit{1})(x^2-\mathit{a}\mathit{2})+(x^2-\mathit{a}\mathit{2})(x^2-\mathit{a}\mathit{3})+(x^2-\mathit{a}\mathit{3})(x^2-\mathit{a}\mathit{1}))x^2-(x^2-\mathit{a}\mathit{1})(x^2-\mathit{a}\mathit{2})(x^2-\mathit{a}\mathit{3}))\left(\frac{d}{dx}\mathit{\text{\_Y}}\left(x\right)\right)}{(x^2-\mathit{a}\mathit{1})(x^2-\mathit{a}\mathit{2})(x^2-\mathit{a}\mathit{3})x}\},\left\{\mathit{\text{\_Y}}\left(x\right)\right\})\}$$