2.681   ODE No. 681

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

$$y^{\prime }(x)=\frac{a{x}^{2}y(x{)}^2+axy(x{)}^2+axy(x{)}^2\log \left(\frac{1}{x}\right)+b{x}^4+b{x}^3+b{x}^3\log \left(\frac{1}{x}\right)+y(x)}{x}$$ ✓ Mathematica : cpu = 0.0398627 (sec), leaf count = 84

$$\left\{\{y(x)\to \frac{\sqrt{b}x\tan \left(\frac{1}{12}(12\sqrt{a}\sqrt{b}{c}_1+4\sqrt{a}\sqrt{b}{x}^3+9\sqrt{a}\sqrt{b}{x}^2-6\sqrt{a}\sqrt{b}{x}^2\log (x))\right)}{\sqrt{a}}\}\right\}$$

✓ Maple : cpu = 0.051 (sec), leaf count = 57

$$\{y\left(x\right)=\frac{x}{a}\tan (\frac{x^2\ln \left(x^{-1}\right)}{2}\sqrt{ab}+\frac{x^3}{3}\sqrt{ab}+\frac{3x^2}{4}\sqrt{ab}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{ab})\sqrt{ab}\}$$