2.1306   ODE No. 1306

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

$$y(x)(a{x}^2+a+bx)+x^3{y}^{″}(x)+x^2{y}^{\prime }(x)=0$$ ✗ Mathematica : cpu = 0.989962 (sec), leaf count = 0 , DifferentialRoot result

$$\text{left {left {y(x)to text {DifferentialRoot}left ({unicode {f818},unicode {f817}}unicode {f4a1}left {unicode {f818}''(unicode {f817}) unicode {f817}^3+unicode {f818}'(unicode {f817}) unicode {f817}^2+left (a unicode {f817}^2+b unicode {f817}+aright ) unicode {f818}(unicode {f817})=0,unicode {f818}(1)=c\_1,unicode {f818}'(1)=c\_2right }right )(x)right }right }}$$

✓ Maple : cpu = 0.612 (sec), leaf count = 95

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,8a+4b,0,8a-4b,\frac{1+x}{x-1})+\mathit{\_}\mathit{C}\mathit{2}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,8a+4b,0,8a-4b,\frac{1+x}{x-1})\int \frac{1}{x}{\left(\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{D}(0,8a+4b,0,8a-4b,\frac{1+x}{x-1})\right)}^{-2}\mathrm{d}x\}$$