2.1315   ODE No. 1315

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

$$a{x}^{3}y(x)+(x^2-1)x{y}^{″}(x)+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0267622 (sec), leaf count = 44

$$\left\{\{y(x)\to c_2\sin \left(\sqrt{a}\sqrt{x^2-1}\right)+c_1\cos \left(\sqrt{a}\sqrt{x^2-1}\right)\}\right\}$$

✓ Maple : cpu = 0.022 (sec), leaf count = 45

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sin \left((1+x)(x-1)\sqrt{a}\frac{1}{\sqrt{x^2-1}}\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left((1+x)(x-1)\sqrt{a}\frac{1}{\sqrt{x^2-1}}\right)\}$$