CHALLENGE ACTIVITY 8.6.1: Systems of differential equations with real, distinct eigenvalues. 469360.2546800.qx3zay7 Jump to level 1 A = 2 -32 34 0 -21 0 -16 19 24 has the following eigenpairs. T₁ = 2, C₁ = 0 r₂ = -5, C₂ = 3 T3 = 3, C3 = Find the general solution to the following system of differential equations. ₁2y₁ 32y2 +34y3 ₂-21y2 + 24y3 316y2 + 19y3 FX-6 11 > ->«>«D-

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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CHALLENGE
ACTIVITY
8.6.1: Systems of differential equations with real, distinct eigenvalues.
469360.2546800.qx3zay7
Jump to level 1
A =
2 -32 34
0 -21
0 -16
24 has the following eigenpairs.
19
T₁ = 2, C₁ =
y = k₁
ED
0
Find the general solution to the following system of differential equations.
₁2y₁ 32y2 +34y3
y₂-21y2 +24y3
316y2 + 19y3
Ex: 6
e
r₂ = -5, C₂ = 3
Ex: 6
+ + k₂
T3 = 3, C3 =
-H)
It + k3
> ->«>·D·
Transcribed Image Text:CHALLENGE ACTIVITY 8.6.1: Systems of differential equations with real, distinct eigenvalues. 469360.2546800.qx3zay7 Jump to level 1 A = 2 -32 34 0 -21 0 -16 24 has the following eigenpairs. 19 T₁ = 2, C₁ = y = k₁ ED 0 Find the general solution to the following system of differential equations. ₁2y₁ 32y2 +34y3 y₂-21y2 +24y3 316y2 + 19y3 Ex: 6 e r₂ = -5, C₂ = 3 Ex: 6 + + k₂ T3 = 3, C3 = -H) It + k3 > ->«>·D·
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