Pregunta: (1 point) Find the solution of y′′+2y′+y=200eer with w(0)=3 and u′(0)=5. y=

The characteristic polynomial is ${\mathrm{r}}^2+2\mathrm{r}+1={(\mathrm{r}+1)}^2$ whose roots are $\mathrm{r}=-1,-1$ . Thus the complementary solution is ${\mathrm{y}}_{\mathrm{c}}={\mathrm{e}}^{-\mathrm{t}}({\mathrm{c}}_1+{\mathrm{c}}_2\mathrm{t})$