2.435   ODE No. 435

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

$$x^2{y}^{\prime }(x{)}^2-2xy(x)y^{\prime }(x)+y(x)(y(x)+1)-x=0$$ ✓ Mathematica : cpu = 0.0370785 (sec), leaf count = 61

$$\{\{y(x)\to \frac{1}{4}(c_1^{2}x-4i{c}_1\sqrt{x}+4x-4)\},\{y(x)\to \frac{1}{4}(c_1^{2}x+4i{c}_1\sqrt{x}+4x-4)\}\}$$

✓ Maple : cpu = 0.245 (sec), leaf count = 22

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