2.175   ODE No. 175

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

$$a{x}^3+(x^2-1)x{y}^{\prime }(x)-(2x^2-1)y(x)=0$$ ✓ Mathematica : cpu = 0.0196857 (sec), leaf count = 24

$$\left\{\{y(x)\to ax+c_1\sqrt{1-x^2}x\}\right\}$$

✓ Maple : cpu = 0.026 (sec), leaf count = 21

$$\{y\left(x\right)=x\sqrt{1+x}\sqrt{x-1}\mathit{\_}\mathit{C}\mathit{1}+ax\}$$