Determine the values of r for which the given differential e

Determine the values of r for which the given differential equation has solutions of the form y = e^rt. (Enter your answers as a comma-separated list.) y\' + 2y = 0

Solution

Let y = e^rt ,

plugging above in the differential equation

=> e^rt( r + 2 ) = 0

Since , ert cannot be equal to zero

=> r + 2 = 0

=> r = -2