2.1341   ODE No. 1341

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

$$y^{″}(x)=-\frac{y(x)(avx-b)}{x^2(ax+b)}-\frac{(2ax+b)y^{\prime }(x)}{x(ax+b)}+Ax$$ ✗ Mathematica : cpu = 300. (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.197 (sec), leaf count = 195

$$\{y\left(x\right)={}_2\text{F}{}_1(-\frac{1}{2}-\frac{1}{2}\sqrt{1-4v},\frac{3}{2}-\frac{1}{2}\sqrt{1-4v};1-\sqrt{1-4v};-\frac{b}{ax})x^{-\frac{1}{2}+\frac{1}{2}\sqrt{1-4v}}\mathit{\_}\mathit{C}\mathit{2}+{}_2\text{F}{}_1(-\frac{1}{2}+\frac{1}{2}\sqrt{1-4v},\frac{3}{2}+\frac{1}{2}\sqrt{1-4v};1+\sqrt{1-4v};-\frac{b}{ax})x^{-\frac{1}{2}-\frac{1}{2}\sqrt{1-4v}}\mathit{\_}\mathit{C}\mathit{1}+\frac{x(ax(ax+b)v^2+(8a^2{x}^2+6abx-3b^2)v+12a^2{x}^2+8abx-12b^2)A}{a^2(v+6)(v+2)(v+12)}\}$$