Practicing Success
Which of the following functions is a solution to the differential equation as y'+y = 0 |
\[y = { e }^{ x } \] \[y = { e }^{ -x } \] \[y = { e }^{ -2x } \] \[y = { e }^{ 2x } \] |
\[y = { e }^{ -x } \] |
$ \frac{dy}{dx} = -y $ $ \int \frac{dy}{y} = -\int{dx}$ $\Rightarrow log_e y = -x $ $ \Rightarrow y = e^{-x}$
|