4.341   ODE No. 1341

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.125 (sec), leaf count = 195 $$\{y\left(x\right)={}_2\text{F}{}_1(\frac{3}{2}-\frac{1}{2}\sqrt{1-4v},-\frac{1}{2}-\frac{1}{2}\sqrt{1-4v};1-\sqrt{1-4v};-\frac{b}{ax})x^{-\frac{1}{2}+\frac{1}{2}\sqrt{1-4v}}\mathit{\_}\mathit{C}\mathit{2}+{}_2\text{F}{}_1(\frac{3}{2}+\frac{1}{2}\sqrt{1-4v},-\frac{1}{2}+\frac{1}{2}\sqrt{1-4v};1+\sqrt{1-4v};-\frac{b}{ax})x^{-\frac{1}{2}-\frac{1}{2}\sqrt{1-4v}}\mathit{\_}\mathit{C}\mathit{1}+\frac{(ax(ax+b)v^2+(8a^2{x}^2+6abx-3b^2)v+12a^2{x}^2+8abx-12b^2)Ax}{a^2(v+6)(v+2)(v+12)}\}$$