3.531   ODE No. 531

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

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

Mathematica: cpu = 73.501334 (sec), leaf count = 72 $$\text{DSolve}[-x^{3}y(x{)}^6-(x^2+y(x{)}^4+xy(x{)}^2)y^{\prime }(x{)}^2+(x^{3}y(x{)}^2+x^{2}y(x{)}^4+xy(x{)}^6)y^{\prime }(x)+y^{\prime }(x{)}^2=0,y(x),x]$$

Maple: cpu = 1.935 (sec), leaf count = 0 $$\text{could not solve}$$