3.67   ODE No. 67

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-\frac{\sqrt{1-{\left(y\left(x\right)\right)}^4}}{\sqrt{-x^4+1}}=0}}$$

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

Mathematica: cpu = 0.080010 (sec), leaf count = 14 $$\left\{\{y(x)\to \text{sn}(c_1+F({\sin }^{-1}(x)|-1)|-1)\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 32 $$\{\int \frac{1}{\sqrt{-x^4+1}}\mathrm{d}x-{\int }^{y\left(x\right)}\frac{1}{\sqrt{-{\mathit{\_}\mathit{a}}^4+1}}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$

Sage: cpu = 0 (sec), leaf count = 0 $$\text{Maxima was unable to solve this ODE}$$