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Math Help - Another Dif EQ Prob

  1. #1
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    Another Dif EQ Prob

    Find all values of m such that the function below is a sol'n of the given Diff. Eq. Explain why this is true.

    y'' - 5y' + 6y = 0; y = e^(mt)
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  2. #2
    MHF Contributor red_dog's Avatar
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    5
    y=e^{mt}
    y'=me^{mt}
    y''=m^2e^{mt}
    Plug in the equation and we get e^{mt}(m^2-5m+6)=0
    So, you have to solve a quadratic equation: m^2-5m+6=0
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