A = -35 24 64 2 -20 12 3 -4 has the following eigenpairs. 37 -ED) (-- -H) Find the general solution to the following system of differential equations. 3₁-35y₁ +24y2 + 64y3 ₂ = 2y1 + 3y2 - 4y3 3-20y1 +12y2 + 37y3 y = k₁ T₁ = 3, C₁: Ex: 6 Ex: 6 = 5, 0₂: t T3 = -3, C3 ||||| +k₂ -F) + k3 = 3
A = -35 24 64 2 -20 12 3 -4 has the following eigenpairs. 37 -ED) (-- -H) Find the general solution to the following system of differential equations. 3₁-35y₁ +24y2 + 64y3 ₂ = 2y1 + 3y2 - 4y3 3-20y1 +12y2 + 37y3 y = k₁ T₁ = 3, C₁: Ex: 6 Ex: 6 = 5, 0₂: t T3 = -3, C3 ||||| +k₂ -F) + k3 = 3
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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![CHALLENGE
ACTIVITY
8.6.1: Systems of differential equations with real, distinct eigenvalues.
469360.2546800.qx3zqy7
Jump to level 1
A
=
-35 24 64
2 3 -4 has the following eigenpairs.
-20 12 37
(₁-0--]) (--^-[-]) (---)
-ED
3, =
= 5,
-3, =
Find the general solution to the following system of differential equations.
y₁ = -35y₁ +24y2 + 64y3
y₂ = 2y1 + 3y2 - 4y3
y = -20y1 +12y2 + 37y3
y = k₁
Ex: 6
[] [] []
Ex: 6
t
+k₂
t
+ k3
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08b3a836-a24a-4d13-af71-8af528c6e51a%2F415afec2-30a0-4857-97aa-4b087fdc7da1%2F7eydm8k_processed.png&w=3840&q=75)
Transcribed Image Text:CHALLENGE
ACTIVITY
8.6.1: Systems of differential equations with real, distinct eigenvalues.
469360.2546800.qx3zqy7
Jump to level 1
A
=
-35 24 64
2 3 -4 has the following eigenpairs.
-20 12 37
(₁-0--]) (--^-[-]) (---)
-ED
3, =
= 5,
-3, =
Find the general solution to the following system of differential equations.
y₁ = -35y₁ +24y2 + 64y3
y₂ = 2y1 + 3y2 - 4y3
y = -20y1 +12y2 + 37y3
y = k₁
Ex: 6
[] [] []
Ex: 6
t
+k₂
t
+ k3
2
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