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
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,