3.449   ODE No. 449

$$\boxed{{\displaystyle (-a^2+x^2){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+2xy\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+{\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0.010001 (sec), leaf count = 27 $$\{\{y(x)\to \frac{c_1}{a-x}\},\{y(x)\to \frac{c_1}{a+x}\}\}$$

Maple: cpu = 0.0 (sec), leaf count = 23 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{a-x},y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x+a}\}$$