2.534   ODE No. 534

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

$$4x{y}^{\prime }(x{)}^3-6y(x)y^{\prime }(x{)}^2+3y(x)-x=0$$ ✓ Mathematica : cpu = 0.0487144 (sec), leaf count = 114

$$\{\{y(x)\to \frac{-\sqrt{2}\sqrt{3c_1{}^2{x}^2+c_1{x}^3+3c_1{}^{3}x+c_1{}^4}-c_1{}^2}{3c_1}\},\{y(x)\to \frac{\sqrt{2}\sqrt{3c_1{}^2{x}^2+c_1{x}^3+3c_1{}^{3}x+c_1{}^4}-c_1{}^2}{3c_1}\}\}$$ ✓ Maple : cpu = 0.134 (sec), leaf count = 84

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