2.1800   ODE No. 1800

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

$$y(x)(y(x{)}^2+1)y^{″}(x)+(1-3y(x{)}^2)y^{\prime }(x{)}^2=0$$ ✓ Mathematica : cpu = 0.499741 (sec), leaf count = 84

$$\{\{y(x)\to -\frac{\sqrt{-2c_{1}x-2c_2{c}_1-1}}{\sqrt{2}\sqrt{c_{1}x+c_2{c}_1}}\},\{y(x)\to \frac{\sqrt{-2c_{1}x-2c_2{c}_1-1}}{\sqrt{2}\sqrt{c_{1}x+c_2{c}_1}}\}\}$$

✓ Maple : cpu = 0.35 (sec), leaf count = 67

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