2.1364   ODE No. 1364

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

$$y^{″}(x)=\frac{y^{\prime }(x)(2(a-1)x^2-2a+2bc(x^2-1)x^c)}{x(x^2-1)}-\frac{y(x)(bc(2a-c-1)x^{c+2}-bc(2a-c+1)x^c+x^2((a-1)a-v(v+1))-a(a+1)+b^2{c}^2(x^2-1)x^{2c})}{x^2(x^2-1)}$$ ✓ Mathematica : cpu = 0.168797 (sec), leaf count = 42

$$\left\{\{y(x)\to c_1{P}_v(x)e^{a\log (x)+b{x}^c}+c_2{Q}_v(x)e^{a\log (x)+b{x}^c}\}\right\}$$

✓ Maple : cpu = 0.117 (sec), leaf count = 33

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^a{\mathrm{e}}^{b{x}^c}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(v,x)+\mathit{\_}\mathit{C}\mathit{2}{x}^a{\mathrm{e}}^{b{x}^c}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(v,x)\}$$