In order to study the shoe sales of people in his store, Billy samples the population by dividing the customers by age and rando
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I assume the coefficient on 
in the second equation is 
. The coefficient matrix
has eigenvalues given by
The eigenvalues are thus
and 
.
For the eigenvalue
, the corresponding eigenvector 
satisfies
so that we can choose
.
For
, we have
and we can choose
for the corresponding eigenvector.
Then the general solution to the ODE system is given by
has eigenvalues given by
The eigenvalues are thus
For the eigenvalue
so that we can choose
For
and we can choose
Then the general solution to the ODE system is given by