Question

Resuelva la ecuación diferencial d'y dx² + 8 dy + 16y=0 dx​

Answer 1

Respuesta:

\left\{\begin{matrix}x=-\frac{2\sqrt{-2d-4}}{d}\text{; }x=\frac{2\sqrt{-2d-4}}{d}\text{, }&d\leq -2\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.

\left\{\begin{matrix}d=\frac{4\left(\sqrt{1-x^{2}}-1\right)}{x^{2}}\text{; }d=-\frac{4\left(\sqrt{1-x^{2}}+1\right)}{x^{2}}\text{, }&x\neq 0\text{ and }|x|\leq 1\\d=-2\text{, }&x=0\\d\in \mathrm{R}\text{, }&y=0\end{matrix}\right.