December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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10. 4 Nonhomogeneous Linear Systems
INTRODUCTION
The methods of undetermined coefficients and variation of parameters used in Chapter 3 to find particular solutions of nonhomogeneous linear ODEs can both be adapted to the solution of nonhomogeneous linear systems. Of the two methods, variation of parameters is the more powerful technique. However, there are instances when the method of undetermined coefficients provides a quick means of finding a particular solution.
In Section 10.1, we saw that the general solution of a nonhomogeneous linear system X′ = AX + F(t) on an interval I is X = Xc + Xp where Xc = c1X1 + c2X2 + 
+ cnXn is the complementary ...
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