2.994   ODE No. 994

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

$$y^{\prime }(x)=\frac{y(x)}{x\log (x)}-x^3(-y(x{)}^2-2y(x)\log (x)-{\log }^2(x))$$ ✓ Mathematica : cpu = 0.121263 (sec), leaf count = 198

$$\left\{\{y(x)\to -\frac{c_1{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}(\frac{x^3}{4}+\frac{1}{4}{x}^3(4\log (x)-1))+\frac{1}{16}{x}^4{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}(4\log (x)-1)(\frac{x^3}{4}+\frac{1}{4}{x}^3(4\log (x)-1))+\frac{1}{4}{x}^3{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}+\frac{1}{4}{x}^3{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}(4\log (x)-1)}{x^3(c_1{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}+\frac{1}{16}{x}^4{e}^{\frac{1}{16}{x}^4(4\log (x)-1)}(4\log (x)-1))}\}\right\}$$

✓ Maple : cpu = 0.022 (sec), leaf count = 43

$$\{y\left(x\right)=-\frac{\ln \left(x\right)(4x^4\ln \left(x\right)-x^4+8\mathit{\_}\mathit{C}\mathit{1}+16)}{4x^4\ln \left(x\right)-x^4+8\mathit{\_}\mathit{C}\mathit{1}}\}$$