3.185   ODE No. 185

$$\boxed{{\displaystyle x^7\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2(x^2+1){\left(y\left(x\right)\right)}^3+5x^3{\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0.375548 (sec), leaf count = 123 $$\text{Solve}[c_1=\frac{\frac{1}{2}\sqrt[4]{1-{(\frac{i{x}^2}{y(x)}+\frac{i}{x})}^2}(\frac{i{x}^2}{y(x)}+\frac{i}{x}){}_2{F}_1(\frac{1}{2},\frac{5}{4};\frac{3}{2};{(\frac{i{x}^2}{y(x)}+\frac{i}{x})}^2)+ix}{\sqrt[4]{-1+{(\frac{i{x}^2}{y(x)}+\frac{i}{x})}^2}},y(x)]$$

Maple: cpu = 0.031 (sec), leaf count = 63 $$\{\mathit{\_}\mathit{C}\mathit{1}+x\frac{1}{\sqrt[4]{{(x^{-1}+\frac{x^2}{y\left(x\right)})}^2+1}}+\frac{x^3+y\left(x\right)}{2xy\left(x\right)}{}_2\text{F}{}_1(\frac{1}{2},\frac{5}{4};\frac{3}{2};-\frac{{(x^3+y\left(x\right))}^2}{x^2{\left(y\left(x\right)\right)}^2})=0\}$$