2.287   ODE No. 287

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

$$(2y(x)-4x+1{)}^2{y}^{\prime }(x)-(y(x)-2x{)}^2=0$$ ✓ Mathematica : cpu = 1.46955 (sec), leaf count = 77

$$\text{Solve}[\frac{y(x)}{2}+\frac{1}{196}(14y(x)-(8-9\sqrt{2})\log (-7y(x)+14x+\sqrt{2}-4)-(8+9\sqrt{2})\log (7y(x)-14x+\sqrt{2}+4)-28x)=c_1,y(x)]$$ ✓ Maple : cpu = 0.064 (sec), leaf count = 56

$$\{-\frac{x}{7}-\frac{9\sqrt{2}}{98}\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(\frac{(7y\left(x\right)-14x+4)\sqrt{2}}{2}\right)-\frac{2\ln (7{(y\left(x\right)-2x)}^2+8y\left(x\right)-16x+2)}{49}+\frac{4y\left(x\right)}{7}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$