Question

find the value of m such that the function y=e^mx
is asolution of y`+2y=0

Answer 1

Just plug in the function, like this:
(e^mx)' = me^mx
me^mx + 2e^mx = 0
since e^mx is never 0, we got:
m + 2 = 0
therefore m = -1.

Answer 2

alieeeeeen true though supposed to be m = -2