Determine by inspection at least one solution of the given differential equation. That is$,$ use your knowledge of derivatives to make an intelligent guess.

$y^{\text{'}}+y=19e^x$

Select all that apply.

A$.y=19e^x$

B$.y=\frac{19}{2}{e}^x$

C$.y=e^{\frac{19}{2}x}$

D$.y=ln19x$

E$.y=ln\frac{19}{2}x$

F$.y=cos\frac{19}{2}x+sin\frac{19}{2}x$