10.3 Solution by Diagonalization
INTRODUCTION
In this section we are going to consider an alternative method for solving a homogeneous system of linear first-order differential equations. This method is applicable to such a system X′ = AX whenever the coefficient matrix A is diagonalizable.
Review Section 8.12.
Coupled Systems
A homogeneous linear system X′ = AX,
(1)
in which each 
is expressed as a linear combination of x1, x2, … , xn is said ...
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