3.69   ODE No. 69

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-\sqrt{(\mathit{b}\mathit{4}{\left(y\left(x\right)\right)}^4+\mathit{b}\mathit{3}{\left(y\left(x\right)\right)}^3+\mathit{b}\mathit{2}{\left(y\left(x\right)\right)}^2+\mathit{b}\mathit{1}y\left(x\right)+\mathit{b}\mathit{0})(\mathit{a}\mathit{4}{x}^4+\mathit{a}\mathit{3}{x}^3+\mathit{a}\mathit{2}{x}^2+\mathit{a}\mathit{1}x+\mathit{a}\mathit{0})}=0}}$$

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

Mathematica: cpu = 53.802332 (sec), leaf count = 12750 $$\text{Failed to compile Latex}$$

Maple: cpu = 0.109 (sec), leaf count = 111 $$\{{\int }^{y\left(x\right)}\frac{1}{\sqrt{{\mathit{\_}\mathit{a}}^4\mathit{b}\mathit{4}+{\mathit{\_}\mathit{a}}^3\mathit{b}\mathit{3}+{\mathit{\_}\mathit{a}}^2\mathit{b}\mathit{2}+\mathit{\_}\mathit{a}\mathit{b}\mathit{1}+\mathit{b}\mathit{0}}}d\mathit{\_}\mathit{a}+{\int }^x-1\sqrt{(\mathit{b}\mathit{4}{\left(y\left(x\right)\right)}^4+\mathit{b}\mathit{3}{\left(y\left(x\right)\right)}^3+\mathit{b}\mathit{2}{\left(y\left(x\right)\right)}^2+\mathit{b}\mathit{1}y\left(x\right)+\mathit{b}\mathit{0})({\mathit{\_}\mathit{a}}^4\mathit{a}\mathit{4}+{\mathit{\_}\mathit{a}}^3\mathit{a}\mathit{3}+{\mathit{\_}\mathit{a}}^2\mathit{a}\mathit{2}+\mathit{\_}\mathit{a}\mathit{a}\mathit{1}+\mathit{a}\mathit{0})}\frac{1}{\sqrt{\mathit{b}\mathit{4}{\left(y\left(x\right)\right)}^4+\mathit{b}\mathit{3}{\left(y\left(x\right)\right)}^3+\mathit{b}\mathit{2}{\left(y\left(x\right)\right)}^2+\mathit{b}\mathit{1}y\left(x\right)+\mathit{b}\mathit{0}}}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$

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