dy/dt = (0 1)
(-3 -4 )y y(0) = (-2)
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?