A = 30 0 -70 29 3 -74 has the following eigenpairs. 14 0 -33 r₁ = 2, C₁ 5 = -ED) (₁-₁₁-E) (---₁--E) 3 = 3, = -5, C3 2 Find the general solution to the following system of differential equations. y₁ = 30y₁ - 70y3 Y₂ = 29y1 + 3y2 - 74y3 y3 = 14y₁ - 33y3 y = k₁ Ex: 6 e + k3 e [] [] [] Ex: 6 t + k₂

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A
=
30 0 -70
29 3 -74
14
0 -33
5
(-~-~~-]) (-₁-²--E) (~--~-E])
2, C₁
= 3
= 3, C₂
= -5, C3 = 2
=
2
has the following eigenpairs.
Find the general solution to the following system of differential equations.
y₁ = 30y₁ - 70y3
Y₂ = 29y₁ + 3y2 – 74y3
314y133y3
y = k₁
Ex: 6
e
Ex: 6
t + k₂
t + k3
t
Transcribed Image Text:A = 30 0 -70 29 3 -74 14 0 -33 5 (-~-~~-]) (-₁-²--E) (~--~-E]) 2, C₁ = 3 = 3, C₂ = -5, C3 = 2 = 2 has the following eigenpairs. Find the general solution to the following system of differential equations. y₁ = 30y₁ - 70y3 Y₂ = 29y₁ + 3y2 – 74y3 314y133y3 y = k₁ Ex: 6 e Ex: 6 t + k₂ t + k3 t
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