Which of the following functions is a solution to the differential equation as y'+y = 0
Answer & explanation
Correct answer: option 2
$ \frac{dy}{dx} = -y $
$ \int \frac{dy}{y} = -\int{dx}$
$\Rightarrow log_e y = -x $
$ \Rightarrow y = e^{-x}$
Which of the following functions is a solution to the differential equation as y'+y = 0
Correct answer: option 2
$ \frac{dy}{dx} = -y $
$ \int \frac{dy}{y} = -\int{dx}$
$\Rightarrow log_e y = -x $
$ \Rightarrow y = e^{-x}$