2.104   ODE No. 104

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

$$axy(x{)}^2+bx+x{y}^{\prime }(x)+2y(x)=0$$ ✓ Mathematica : cpu = 0.0164696 (sec), leaf count = 43

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

✓ Maple : cpu = 0.072 (sec), leaf count = 63

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