Pregunta: (D +2)x + 5y = 0, −x + (D −2) y = sin 2t

To solve the linear system of differential equations $(\mathrm{D}+2)\mathrm{x}+5\mathrm{y}=0,-\mathrm{x}+(\mathrm{D}-2)\mathrm{y}=\sin \left(2\mathrm{t}\right)$

Multiply the equation $(\mathrm{D}+2)\mathrm{x}+5\mathrm{y}$ by $(\mathrm{D}-2)$ and the equation $-\mathrm{x}+(\mathrm{D}-2)\mathrm{y}=\sin \left(2\mathrm{t}\right)$ b...