2.546   ODE No. 546

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

$$y^{\prime }(x{)}^4+3(x-1)y^{\prime }(x{)}^2-3(2y(x)-1)y^{\prime }(x)+3x=0$$ ✗ Mathematica : cpu = 300.007 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.31 (sec), leaf count = 245

$$\{y\left(x\right)=-x+\frac{5}{6},y\left(x\right)=x+\frac{1}{6},y\left(x\right)=\frac{x}{6}(3{(-\mathit{\_}\mathit{C}\mathit{1}/2-1/2\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^2+3){(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}-\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^{-1}+\frac{1}{6}({(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}-\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^4-3{(-\mathit{\_}\mathit{C}\mathit{1}/2-1/2\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^2-\frac{3\mathit{\_}\mathit{C}\mathit{1}}{2}-\frac{3}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x}){(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}-\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^{-1},y\left(x\right)=\frac{x}{6}(3{(-\mathit{\_}\mathit{C}\mathit{1}/2+1/2\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^2+3){(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^{-1}+\frac{1}{6}({(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^4-3{(-\mathit{\_}\mathit{C}\mathit{1}/2+1/2\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^2-\frac{3\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{3}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x}){(-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{1}{2}\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^2+4x})}^{-1}\}$$