3.484   ODE No. 484

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

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

Mathematica: cpu = 0.170522 (sec), leaf count = 81 $$\{\{y(x)\to -\sqrt{3x^2-2e^{\frac{c_1}{2}}x}-e^{\frac{c_1}{2}}+2x\},\{y(x)\to \sqrt{3x^2-2e^{\frac{c_1}{2}}x}-e^{\frac{c_1}{2}}+2x\}\}$$

Maple: cpu = 0 (sec), leaf count = 0 $$\text{hanged}$$