4.324   ODE No. 1324

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=\frac{(5x-4)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x(x-1)}-\frac{(9x-6)y\left(x\right)}{x^2(x-1)}=0}}$$

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

Mathematica: cpu = 0.029004 (sec), leaf count = 25 $$\left\{\{y(x)\to c_1{x}^3-c_2{x}^2(x\log (x)+1)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 21 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^3+\mathit{\_}\mathit{C}\mathit{2}{x}^2(x\ln \left(x\right)+1)\}$$