3.175   ODE No. 175

$$\boxed{{\displaystyle x(x^2-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(2x^2-1)y\left(x\right)+a{x}^3=0}}$$

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

Mathematica: cpu = 0.020002 (sec), leaf count = 24 $$\left\{\{y(x)\to ax+c_1\sqrt{1-x^2}x\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 21 $$\{y\left(x\right)=x\sqrt{1+x}\sqrt{x-1}\mathit{\_}\mathit{C}\mathit{1}+ax\}$$