dy/dt = (0 1)

(-3 -4 )y y(0) = (-2)

-4

where y is a vector-valued function

I showed that this is equal to y'' + 4y + 3y = 0 y(0) = 2 y'(0) = -4

where y is a scalar function of t

Then the question asked me to find the analytic solution which i found was

y = exp(-3x) + exp(-x)

The next part of the question says hence, or otherwise, find the solution for the first order system which is the first equation with the matrix I said before but I'm not sure what this is actually asking me to do if can anyone explain what it is asking?