The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. E
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I assume you mean , and not
, since this doesn't satisfy the ODE.
Assume a second solution of the form , where
is a function of
. Then
Substituting into the ODE gives
where we omit the second term because it's already accounted for by .