2.1409   ODE No. 1409

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

$$y^{″}(x)=-b^2{x}^{-2a}y(x)-\frac{a{y}^{\prime }(x)}{x}$$ ✓ Mathematica : cpu = 0.0245645 (sec), leaf count = 43

$$\left\{\{y(x)\to c_1\cos \left(\frac{b{x}^{1-a}}{a-1}\right)-c_2\sin \left(\frac{b{x}^{1-a}}{a-1}\right)\}\right\}$$

✓ Maple : cpu = 0.023 (sec), leaf count = 39

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