garys cat ate 3/5 of a bag of cat treats in september and 1/5 of the same bag of cat treats in october. what part of the bag of
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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 .