2.1267   ODE No. 1267

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

$$-(l+2x^2-5x)y^{\prime }(x)+2x^2{y}^{″}(x)-(4x-1)y(x)=0$$ ✓ Mathematica : cpu = 0.395397 (sec), leaf count = 166

$$\left\{\{y(x)\to \frac{c_1{e}^{x-\frac{l}{2x}}}{\sqrt{x}}-\frac{\sqrt{\frac{\pi }{2}}{c}_2{e}^{-\frac{l}{2x}-\sqrt{2}\sqrt{-l}+x}(\text{erf}(\frac{\sqrt{-l}}{\sqrt{2}\sqrt{x}}-\sqrt{x})+e^{2\sqrt{2}\sqrt{-l}}\text{erf}(\frac{\sqrt{-l}}{\sqrt{2}\sqrt{x}}+\sqrt{x})-e^{2\sqrt{2}\sqrt{-l}}+1)}{\sqrt{-l}\sqrt{x}}\}\right\}$$ ✓ Maple : cpu = 0.864 (sec), leaf count = 41

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