2.1847   ODE No. 1847

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

$$y^{(3)}(x)(y^{\prime }(x{)}^2+1)-3y^{\prime }(x)y^{″}(x{)}^2=0$$ ✓ Mathematica : cpu = 0.126029 (sec), leaf count = 95

$$\{\{y(x)\to c_3-\frac{i\sqrt{c_1^2{x}^2+2c_2{c}_1^{2}x+c_2^2{c}_1^2-1}}{c_1}\},\{y(x)\to c_3+\frac{i\sqrt{c_1^2{x}^2+2c_2{c}_1^{2}x+c_2^2{c}_1^2-1}}{c_1}\}\}$$

✓ Maple : cpu = 0.628 (sec), leaf count = 49

$$\{y\left(x\right)=-\sqrt{-{\mathit{\_}\mathit{C}\mathit{2}}^2-2\mathit{\_}\mathit{C}\mathit{2}x-x^2+\mathit{\_}\mathit{C}\mathit{1}}+\mathit{\_}\mathit{C}\mathit{3},y\left(x\right)=\sqrt{-{\mathit{\_}\mathit{C}\mathit{2}}^2-2\mathit{\_}\mathit{C}\mathit{2}x-x^2+\mathit{\_}\mathit{C}\mathit{1}}+\mathit{\_}\mathit{C}\mathit{3}\}$$