2.276   ODE No. 276

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

$$(y(x{)}^2-x^2)y^{\prime }(x)+2xy(x)=0$$ ✓ Mathematica : cpu = 0.0422363 (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 = 0.065 (sec), leaf count = 45

$$\{y\left(x\right)=\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(1+\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+1}),y\left(x\right)=-\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(-1+\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+1})\}$$