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Find all values of m so that the function y = e^mx is a solution of the given differential equation. y' + 9y = 0
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Find all values of m so that the function

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

User Prieston
by
8.0k points

1 Answer

2 votes
Hello,

y=e^(mx)
y'=m*e^(mx)

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



User Tulay
by
8.2k points
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