3.276   ODE No. 276

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

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

Mathematica: cpu = 0.036005 (sec), leaf count = 61 $$\{\{y(x)\to \frac{1}{2}(e^{c_1}-\sqrt{e^{2c_1}-4x^2})\},\{y(x)\to \frac{1}{2}(\sqrt{e^{2c_1}-4x^2}+e^{c_1})\}\}$$

Maple: cpu = 0.047 (sec), leaf count = 45 $$\{y\left(x\right)=\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(1+\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+1}),y\left(x\right)=-\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(-1+\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+1})\}$$