2.69   ODE No. 69

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

$$y^{\prime }(x)-\sqrt{(\text{a0}+\text{a1}x+\text{a2}{x}^2+\text{a3}{x}^3+\text{a4}{x}^4)(\text{b0}+\text{b1}y(x)+\text{b2}y(x{)}^2+\text{b3}y(x{)}^3+\text{b4}y(x{)}^4)}=0$$ ✓ Mathematica : cpu = 50.284 (sec), leaf count = 12750

$$\text{too large to display}$$

✓ Maple : cpu = 0.154 (sec), leaf count = 111

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