3.70   ODE No. 70

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

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

Mathematica: cpu = 159.017193 (sec), leaf count = 23353 $$\text{Unable to compile Latex}$$

Maple: cpu = 0.110 (sec), leaf count = 113 $$\{{\int }^{y\left(x\right)}\sqrt{{\mathit{\_}\mathit{a}}^4\mathit{b}\mathit{4}+{\mathit{\_}\mathit{a}}^3\mathit{b}\mathit{3}+{\mathit{\_}\mathit{a}}^2\mathit{b}\mathit{2}+\mathit{\_}\mathit{a}\mathit{b}\mathit{1}+\mathit{b}\mathit{0}}d\mathit{\_}\mathit{a}+{\int }^x-\sqrt{\frac{{\mathit{\_}\mathit{a}}^4\mathit{a}\mathit{4}+{\mathit{\_}\mathit{a}}^3\mathit{a}\mathit{3}+{\mathit{\_}\mathit{a}}^2\mathit{a}\mathit{2}+\mathit{\_}\mathit{a}\mathit{a}\mathit{1}+\mathit{a}\mathit{0}}{\mathit{b}\mathit{4}{\left(y\left(x\right)\right)}^4+\mathit{b}\mathit{3}{\left(y\left(x\right)\right)}^3+\mathit{b}\mathit{2}{\left(y\left(x\right)\right)}^2+\mathit{b}\mathit{1}y\left(x\right)+\mathit{b}\mathit{0}}}\sqrt{\mathit{b}\mathit{4}{\left(y\left(x\right)\right)}^4+\mathit{b}\mathit{3}{\left(y\left(x\right)\right)}^3+\mathit{b}\mathit{2}{\left(y\left(x\right)\right)}^2+\mathit{b}\mathit{1}y\left(x\right)+\mathit{b}\mathit{0}}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$