Page 666 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

or, more briefly,

EXAMPLE 1 Solution of a System with Initial Conditions
(a) Write the following system in matrix form:

(b) Solve the system. .
(c) Find a solution of the system that satisfies the initial conditions , , and (5)

Solution (a)

or

Solution (b)

Because each equation involves only one unknown function, we can solve the equations individually. From 2, we obtain

or, in matrix notation,