2.407   ODE No. 407

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

$$x{y}^{\prime }(x{)}^2-y(x)=0$$ ✓ Mathematica : cpu = 0.0227999 (sec), leaf count = 51

$$\{\{y(x)\to \frac{1}{4}(4x-4c_1\sqrt{x}+c_1{}^2)\},\{y(x)\to \frac{1}{4}(4x+4c_1\sqrt{x}+c_1{}^2)\}\}$$ ✓ Maple : cpu = 0.052 (sec), leaf count = 39

$$\{y\left(x\right)=0,y\left(x\right)=\frac{1}{x}{(-x+\sqrt{\mathit{\_}\mathit{C}\mathit{1}x})}^2,y\left(x\right)=\frac{1}{x}{(x+\sqrt{\mathit{\_}\mathit{C}\mathit{1}x})}^2\}$$