(Solved): To solve the separable differential equation \[ \frac{d y}{d x}=5 y \] we must find two separate i ...

To solve the separable differential equation \[ \frac{d y}{d x}=5 y \] we must find two separate integrals: \( \int d y= \) and \( \int d x= \) Solving for \( \mathrm{y} \) we get that \( y= \) (you must use \( \mathrm{k} \) as your constant) and find the particular solution satisfying the initial condition \[ y(0)=-4 \] \( y(x)= \)