4.184   ODE No. 1184

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

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

Mathematica: cpu = 0.018502 (sec), leaf count = 38 $$\left\{\{y(x)\to c_2{x}^3+c_1{x}^2+\frac{1}{2}(x^4+2x^2+2x^2\log (x))\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 29 $$\{y\left(x\right)=x^2\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1}{x}^3+\frac{x^2(x^2+2\ln \left(x\right)+2)}{2}\}$$