2.1123   ODE No. 1123

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

$$-(2a{x}^2+1)y^{\prime }(x)+b{x}^{3}y(x)+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0139251 (sec), leaf count = 91

$$\left\{\{y(x)\to c_1{e}^{\frac{1}{2}\sqrt{b}{x}^2(\frac{a}{\sqrt{b}}-\frac{\sqrt{a^2-b}}{\sqrt{b}})}+c_2{e}^{\frac{1}{2}\sqrt{b}{x}^2(\frac{\sqrt{a^2-b}}{\sqrt{b}}+\frac{a}{\sqrt{b}})}\}\right\}$$

✓ Maple : cpu = 0.055 (sec), leaf count = 45

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