2.498   ODE No. 498

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

$$(3y(x)-2)y^{\prime }(x{)}^2+4y(x)-4=0$$ ✓ Mathematica : cpu = 0.080699 (sec), leaf count = 107

$$\{\{y(x)\to \text{InverseFunction}[-\sqrt{1-\mathrm{\#}\text{1}}\sqrt{3\mathrm{\#}\text{1}-2}-\frac{{\sin }^{-1}\left(\sqrt{3-3\mathrm{\#}\text{1}}\right)}{\sqrt{3}}\mathrm{\&}][-2x+c_1]\},\{y(x)\to \text{InverseFunction}[-\sqrt{1-\mathrm{\#}\text{1}}\sqrt{3\mathrm{\#}\text{1}-2}-\frac{{\sin }^{-1}\left(\sqrt{3-3\mathrm{\#}\text{1}}\right)}{\sqrt{3}}\mathrm{\&}][2x+c_1]\}\}$$ ✓ Maple : cpu = 0.763 (sec), leaf count = 99

$$\{y\left(x\right)=1,y\left(x\right)=\frac{\sin \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-8\sqrt{3}\mathit{\_}\mathit{C}\mathit{1}\mathit{\_}\mathit{Z}+8\sqrt{3}x\mathit{\_}\mathit{Z}-{(\cos \left(\mathit{\_}\mathit{Z}\right))}^2+48{\mathit{\_}\mathit{C}\mathit{1}}^2-96\mathit{\_}\mathit{C}\mathit{1}x+48x^2+{\mathit{\_}\mathit{Z}}^2)\right)}{6}+\frac{5}{6},y\left(x\right)=\frac{\sin \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(8\sqrt{3}\mathit{\_}\mathit{C}\mathit{1}\mathit{\_}\mathit{Z}-8\sqrt{3}x\mathit{\_}\mathit{Z}-{(\cos \left(\mathit{\_}\mathit{Z}\right))}^2+48{\mathit{\_}\mathit{C}\mathit{1}}^2-96\mathit{\_}\mathit{C}\mathit{1}x+48x^2+{\mathit{\_}\mathit{Z}}^2)\right)}{6}+\frac{5}{6}\}$$