2.1126   ODE No. 1126

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

$$(a^2{x}^3+a)y(x)+(2a{x}^3-1)y^{\prime }(x)+x{y}^{″}(x)=0$$ ✗ Mathematica : cpu = 1.15313 (sec), leaf count = 0 , DifferentialRoot result

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

✓ Maple : cpu = 0.043 (sec), leaf count = 26

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