Example 2. Use the
matrix exponential to find the general solution for the system of D.
First, write the system in vector and matrix form .
A fundamental matrix solution is .
The matrix exponential is .
The solution to the D. E. with initial conditions , is .
We are done.
Aside. We compare the above work, with the construction of using Mathematica's subroutine MatrixExp.
(c) John H. Mathews 2004