3.510   ODE No. 510

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

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

Mathematica: cpu = 60.566191 (sec), leaf count = 66 $$\text{DSolve}[-(x^{4}y(x{)}^2-1)y(x{)}^2+x^2(x^{2}y(x{)}^4-1)y^{\prime }(x{)}^2+2x^3(y(x{)}^2-x^2)y(x{)}^3{y}^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 2.730 (sec), leaf count = 0 $$\text{could not solve}$$