2.89   ODE No. 89

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

$$x{y}^{\prime }(x)-\sqrt{a^2-x^2}=0$$ ✓ Mathematica : cpu = 0.0323603 (sec), leaf count = 48

$$\left\{\{y(x)\to \sqrt{a^2-x^2}-a\log (a\sqrt{a^2-x^2}+a^2)+a\log (x)+c_1\}\right\}$$

✓ Maple : cpu = 0.016 (sec), leaf count = 56

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