2.740   ODE No. 740

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

$$y^{\prime }(x)=\frac{x^4-2x^{2}y(x{)}^2+y(x{)}^4+x}{y(x)}$$ ✓ Mathematica : cpu = 0.0605535 (sec), leaf count = 74

$$\{\{y(x)\to -\frac{\sqrt{2c_1{x}^2+2x^3-1}}{\sqrt{2}\sqrt{c_1+x}}\},\{y(x)\to \frac{\sqrt{2c_1{x}^2+2x^3-1}}{\sqrt{2}\sqrt{c_1+x}}\}\}$$

✓ Maple : cpu = 0.107 (sec), leaf count = 72

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