2.1337   ODE No. 1337

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

$$y^{″}(x)=-\frac{(a+2b+3x)y^{\prime }(x)}{2(a+x)(b+x)}-\frac{(a-b)y(x)}{4(a+x{)}^2(b+x)}$$ ✓ Mathematica : cpu = 0.0819121 (sec), leaf count = 62

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

✓ Maple : cpu = 0.043 (sec), leaf count = 44

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