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 = 0.015045 (sec), leaf count = 53

$$\{\{y(x)\to \frac{1}{2}(c_1-\sqrt{c_1^2+4x^4})\},\{y(x)\to \frac{1}{2}(\sqrt{c_1^2+4x^4}+c_1)\}\}$$

✓ Maple : cpu = 0.315 (sec), leaf count = 67

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