2.449   ODE No. 449

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

$$(x^2-a^2)y^{\prime }(x{)}^2+2xy(x)y^{\prime }(x)+y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0103224 (sec), leaf count = 27

$$\{\{y(x)\to \frac{c_1}{a-x}\},\{y(x)\to \frac{c_1}{a+x}\}\}$$

✓ Maple : cpu = 0.014 (sec), leaf count = 23

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