3.986   ODE No. 986

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

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

Mathematica: cpu = 0.014502 (sec), leaf count = 44 $$\{\{y(x)\to x\log (x)-\frac{x}{\sqrt{c_1-2x}}\},\{y(x)\to \frac{x}{\sqrt{c_1-2x}}+x\log (x)\}\}$$

Maple: cpu = 0.031 (sec), leaf count = 36 $$\{y\left(x\right)=-x\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}}+x\ln \left(x\right),y\left(x\right)=x\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}}+x\ln \left(x\right)\}$$