Write a fundamental matrix for the associated homogeneous system

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
#2
2)
In this problem you will solve the nonhomogeneous system
2
-4
A. Write a fundamental matrix for the associated homogeneous system
=
B. Compute the inverse
4-1 =
C. Multiply by g and integrate
S
-1 g dt
+C1
+C₂
(Do not include c₁ and c₂ in your answers).
D. Give the solution to the system
(Do not include c₁ and c₂ in your answers).
C₁+
y +
3
C₂
Transcribed Image Text:2) In this problem you will solve the nonhomogeneous system 2 -4 A. Write a fundamental matrix for the associated homogeneous system = B. Compute the inverse 4-1 = C. Multiply by g and integrate S -1 g dt +C1 +C₂ (Do not include c₁ and c₂ in your answers). D. Give the solution to the system (Do not include c₁ and c₂ in your answers). C₁+ y + 3 C₂
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