Question 8. Consider the initial value problem where x(t) = Ax (t), x(0) = 14 1 - (¹464). -16 The eigenpairs of A are given as 1 (-¹), -8 A = C1 A₁ = 6, V₁ = Enter the values of: 9 >-(-80), 60 Find the integer values of c₁ and c₂ such that x(t) = C₁ V₁e¹¹t+C₂V₂е¹²t solves the initial value problem. oping soon C₂ = and A₂ = 12, V₂ -(-¹₂). O Search

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 8.
Consider the initial value problem
where
x(t) = Ax (t), x(0) =
4- (¹164)
A =
C1
The eigenpairs of A are given as
1
(-¹8).
Find the integer values of c₁ and c₂ such that
x(t) = C₁ V₁e¹₁t+C₂V₂¹₂
solves the initial value problem.
A₁ = 6, V₁ =
Enter the values of:
9
>-(-80),
60
oping soon
C₂ =
and
A₂ = 12, V₂
-(-¹₂).
O Search
Transcribed Image Text:Question 8. Consider the initial value problem where x(t) = Ax (t), x(0) = 4- (¹164) A = C1 The eigenpairs of A are given as 1 (-¹8). Find the integer values of c₁ and c₂ such that x(t) = C₁ V₁e¹₁t+C₂V₂¹₂ solves the initial value problem. A₁ = 6, V₁ = Enter the values of: 9 >-(-80), 60 oping soon C₂ = and A₂ = 12, V₂ -(-¹₂). O Search
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