2.1657   ODE No. 1657

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

$$y^{″}(x)+y(x{)}^3{y}^{\prime }(x)-y(x)y^{\prime }(x)\sqrt{4y^{\prime }(x)+y(x{)}^4}=0$$ ✓ Mathematica : cpu = 0.150159 (sec), leaf count = 33

$$\left\{\{y(x)\to \sqrt{2}{e}^{c_1}\tan \left(2\sqrt{2}{e}^{3c_1}(c_2+x)\right)\}\right\}$$

✓ Maple : cpu = 0.274 (sec), leaf count = 35

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