There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many
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I'll go out on a limb and guess the system is
with initial condition
. The coefficient matrix has eigenvalues 
such that
The corresponding eigenvectors
are such that
So the characteristic solution to the ODE system is
When
, we have
from which it follows that
and 
, making the particular solution to the IVP
with initial condition
The corresponding eigenvectors
So the characteristic solution to the ODE system is
When
from which it follows that