2.1736   ODE No. 1736

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

$$-y^{\prime }(x{)}^2+2y(x)y^{″}(x)-3y(x{)}^4=0$$ ✓ Mathematica : cpu = 6.28481 (sec), leaf count = 129

$$\{\{y(x)\to \text{InverseFunction}[-\frac{2\sqrt{\mathrm{\#}\text{1}}\sqrt{1+\frac{{\mathrm{\#}\text{1}}^3}{c_1}}{}_2{F}_1(\frac{1}{6},\frac{1}{2};\frac{7}{6};-\frac{{\mathrm{\#}\text{1}}^3}{c_1})}{\sqrt{{\mathrm{\#}\text{1}}^3+c_1}}\mathrm{\&}][x+c_2]\},\{y(x)\to \text{InverseFunction}\left[\frac{2\sqrt{\mathrm{\#}\text{1}}\sqrt{1+\frac{{\mathrm{\#}\text{1}}^3}{c_1}}{}_2{F}_1(\frac{1}{6},\frac{1}{2};\frac{7}{6};-\frac{{\mathrm{\#}\text{1}}^3}{c_1})}{\sqrt{{\mathrm{\#}\text{1}}^3+c_1}}\mathrm{\&}\right][x+c_2]\}\}$$ ✓ Maple : cpu = 0.291 (sec), leaf count = 49

$$\{{\int }^{y\left(x\right)}\frac{1}{\sqrt{{\mathit{\_}\mathit{a}}^4+\mathit{\_}\mathit{a}\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0,{\int }^{y\left(x\right)}-\frac{1}{\sqrt{{\mathit{\_}\mathit{a}}^4+\mathit{\_}\mathit{a}\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$