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21 June, 16:11

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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Answers (1)
  1. 21 June, 16:14
    0
    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
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