Use the result above to find a general solution of at to = 0. · ( ₁ ) x + ( cost). sin X =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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If F(t) is continuous and is a fundamental matrix of X = AX, then the inhomogeneous system
X = AX+F has solution
Xp(t):
= Φ(t)
at to = 0.
[+
to
6-¹(s) F(s)ds.
Use the result above to find a general solution of
X
* = (-₁1₁₂²) x
X +
cost
- sint
Transcribed Image Text:If F(t) is continuous and is a fundamental matrix of X = AX, then the inhomogeneous system X = AX+F has solution Xp(t): = Φ(t) at to = 0. [+ to 6-¹(s) F(s)ds. Use the result above to find a general solution of X * = (-₁1₁₂²) x X + cost - sint
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