2.58   ODE No. 58

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

$$a(-\sqrt{y(x)})-bx+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.240381 (sec), leaf count = 114

$$\text{Solve}[\frac{a^2\log \left(a^2(\sqrt{\frac{a^{2}y(x)}{b^2{x}^2}}-\frac{2y(x)}{b{x}^2}+1)\right)+2a^2\log (x)+\frac{2a^3{\tanh }^{-1}\left(\frac{a^2-4b\sqrt{\frac{a^{2}y(x)}{b^2{x}^2}}}{a\sqrt{a^2+8b}}\right)}{\sqrt{a^2+8b}}+2b{c}_1}{b}=0,y(x)]$$

✓ Maple : cpu = 0.107 (sec), leaf count = 68

$$\{-\frac{1}{2}\ln (\sqrt{y\left(x\right)}ax+b{x}^2-2y\left(x\right))+a\sqrt{y\left(x\right)}\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(1(a\sqrt{y\left(x\right)}+2bx)\frac{1}{\sqrt{y\left(x\right)(a^2+8b)}}\right)\frac{1}{\sqrt{y\left(x\right)(a^2+8b)}}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$