and (96) = C1 A₁-3+4i with ₁ = Write the solution to the linear system [+] in the following forms. In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): 11 + C2 A2 = -3- 4i with ₂ = = A +

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
and
Write the solution to the linear
[z(t)] = C₁
--(
C1
X
+ C₂
-
A₁ =
FI
X
system
A in the following forms.
LY
In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines):
= −3+4i with ₁
1₂ = -3-4i with 2
=
=
=
-
-
H
[11]
+
→
A
←
J
Transcribed Image Text:and Write the solution to the linear [z(t)] = C₁ --( C1 X + C₂ - A₁ = FI X system A in the following forms. LY In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): = −3+4i with ₁ 1₂ = -3-4i with 2 = = = - - H [11] + → A ← J
[x(t)]
Ly(t).
y(t):
=
=
As two equations: (write "c1" and "c2" for c₁ and c₂ )
x(t) =
help (formulas)
help (formulas)
←
B
ID
←
←
|
[a]
[c₁] help (formulas)
[2] help (matrices)
Transcribed Image Text:[x(t)] Ly(t). y(t): = = As two equations: (write "c1" and "c2" for c₁ and c₂ ) x(t) = help (formulas) help (formulas) ← B ID ← ← | [a] [c₁] help (formulas) [2] help (matrices)
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