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Homogeneous differential equations

  1. May 14, 2014 #1
    Is this a homogeneous DE?
    3y'''' + 21y'' + y' + 6y = 0

    So.... since a(n-1)y''' is missing, would this still by definition be a homogeneous differential equation?
  2. jcsd
  3. May 14, 2014 #2

    Simon Bridge

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    It's not "missing", it's just the coefficient of y''' is zero.
    Check the definition of "homogeneous DE" - does it refer to the number of terms present?
    Lastly: why does it matter what it's called?
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