4.348   ODE No. 1348

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=-\frac{\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x}-\frac{(b{x}^2+a(x^4+1))y\left(x\right)}{x^4}=0}}$$

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

Mathematica: cpu = 1.313167 (sec), leaf count = 58 $$\text{left {left {y(x)to text {DifferentialRoot}left ({unicode {f818},unicode {f817}}unicode {f4a1}left {unicode {f818}''(unicode {f817}) unicode {f817}^4+unicode {f818}'(unicode {f817}) unicode {f817}^3+left (a unicode {f817}^4+b unicode {f817}^2+aright ) unicode {f818}(unicode {f817})=0,unicode {f818}(1)=c\_1,unicode {f818}'(1)=c\_2right }right )(x)right }right }}$$

Maple: cpu = 0.156 (sec), leaf count = 101 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,2a+b,0,2a-b,\frac{x^2+1}{x^2-1})+\mathit{\_}\mathit{C}\mathit{2}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,2a+b,0,2a-b,\frac{x^2+1}{x^2-1})\int \frac{1}{x}{\left(\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,2a+b,0,2a-b,\frac{x^2+1}{x^2-1})\right)}^{-2}\mathrm{d}x\}$$