Uppose y(t)=9e−5t
y
(
t
)
=
9
e
−
5
t
is a solution of the initial value problem y′+ky=0
y
′
+
k
y
=
0
, y(0)=y0
y
(
0
)
=
y
0
. what are the constants k
k
and y

If satisfies the ODE , then



and substituting into the ODE gives



so that the ODE is .

I'm assuming that you're also supposed to determine the initial value given this ODE. You have



Given , you have



but since you already know that , it follows that , and in turn that .

omg

Step-by-step explanation:

whats that

im really sorry i'dk what ur trying to say