4.412   ODE No. 1412

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

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

Mathematica: cpu = 0.015502 (sec), leaf count = 29 $$\left\{\{y(x)\to c_1\cosh (x(\log (x)-1))+i{c}_2\sinh (x(\log (x)-1))\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 27 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sinh (x\ln \left(x\right)-x)+\mathit{\_}\mathit{C}\mathit{2}\cosh (x\ln \left(x\right)-x)\}$$