2.1289   ODE No. 1289

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

$$16x^2{y}^{″}(x)+32x{y}^{\prime }(x)-(4x+5)y(x)=0$$ ✓ Mathematica : cpu = 0.117337 (sec), leaf count = 53

$$\left\{\{y(x)\to \frac{c_2{e}^{-\sqrt{x}}(\sqrt{x}+1)}{x^{5/4}}-\frac{c_1{e}^{\sqrt{x}}(\sqrt{x}-1)}{x^{5/4}}\}\right\}$$ ✓ Maple : cpu = 0.304 (sec), leaf count = 33

$$\{y\left(x\right)=(\mathit{\_}\mathit{C}\mathit{2}(\sqrt{x}+1){\mathrm{e}}^{-\sqrt{x}}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\sqrt{x}}(\sqrt{x}-1))x^{-\frac{5}{4}}\}$$