2.277   ODE No. 277

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

$$(x^4+y(x{)}^2)y^{\prime }(x)-4x^{3}y(x)=0$$ ✓ Mathematica : cpu = 0.109119 (sec), leaf count = 53

$$\{\{y(x)\to \frac{1}{2}(c_1-\sqrt{4x^4+c_1{}^2})\},\{y(x)\to \frac{1}{2}(\sqrt{4x^4+c_1{}^2}+c_1)\}\}$$ ✓ Maple : cpu = 0.278 (sec), leaf count = 41

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