CHAPTER 5
Systems of Differential Equations and Finite Difference Equations
Systems of Linear Homogeneous Equations with Constant Coefficients
MATLAB can solve this type of system directly, simply by using the command dsolve or maple(‘dsolve’) with the familiar syntax.
A system of differential equations, written as X ’(t)=AX(t) has a general solution of the form:
where the eigenvalues {λk} (K = 1, 2, … n) corresponding to the eigenvectors {Vk} of the matrix of the system are all assumed to be different.
If an eigenvalue λk is a complex number ...
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