3.909   ODE No. 909

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{x^3+{\left(y\left(x\right)\right)}^4{x}^3+2x^2{\left(y\left(x\right)\right)}^2+x+x^3{\left(y\left(x\right)\right)}^6+3x^2{\left(y\left(x\right)\right)}^4+3x{\left(y\left(x\right)\right)}^2+1}{x^{5}y\left(x\right)}=0}}$$

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

Mathematica: cpu = 40.683666 (sec), leaf count = 64 $$\text{DSolve}[y^{\prime }(x)=\frac{x^{3}y(x{)}^6+x^{3}y(x{)}^4+x^3+3x^{2}y(x{)}^4+2x^{2}y(x{)}^2+3xy(x{)}^2+x+1}{x^{5}y(x)},y(x),x]$$

Maple: cpu = 0.390 (sec), leaf count = 84 $$\{y\left(x\right)=\frac{1}{x}\sqrt{x(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}({\int }^{\mathit{\_}\mathit{Z}}{(2{\mathit{\_}\mathit{a}}^3+2{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}x+x\mathit{\_}\mathit{C}\mathit{1}+1)x-1)},y\left(x\right)=-\frac{1}{x}\sqrt{x(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}({\int }^{\mathit{\_}\mathit{Z}}{(2{\mathit{\_}\mathit{a}}^3+2{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}x+x\mathit{\_}\mathit{C}\mathit{1}+1)x-1)}\}$$