amymark11 amymark11

05-09-2016
Mathematics

Answered

Find all values of m so that the function

y = e^mx

is a solution of the given differential equation. y' + 9y = 0

Verified Answer :

05-09-2016

Hello,

y=e^(mx)
y'=me^(mx)

0=y'+9y=me^(mx)+9e^(mx)
==> e^(mx)(m+9)=0
This must be exact for every value of ,so
m=-9

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