4.268   ODE No. 1268

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

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

Mathematica: cpu = 1.377675 (sec), leaf count = 55 $$\text{left {left {y(x)to text {DifferentialRoot}left ({unicode {f818},unicode {f817}}unicode {f4a1}left {(unicode {f817} a+b) unicode {f818}(unicode {f817})+(2 unicode {f817}-1) unicode {f818}'(unicode {f817})+2 (unicode {f817}-1) unicode {f817} unicode {f818}''(unicode {f817})=0,unicode {f818}(2)=c\_1,unicode {f818}'(2)=c\_2right }right )(x)right }right }}$$

Maple: cpu = 0.078 (sec), leaf count = 39 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{M}\mathit{a}\mathit{t}\mathit{h}\mathit{i}\mathit{e}\mathit{u}\mathit{C}(-a-2b,\frac{a}{2},\arccos \left(\sqrt{x}\right))+\mathit{\_}\mathit{C}\mathit{2}\mathit{M}\mathit{a}\mathit{t}\mathit{h}\mathit{i}\mathit{e}\mathit{u}\mathit{S}(-a-2b,\frac{a}{2},\arccos \left(\sqrt{x}\right))\}$$