Consider the initial value problem Ÿ' = AŸ for 6 -4 4 A = -1 3 with Y (0) = -1 1 7 -1 (a) Verify that form bases for eigenspaces of A. What are the corresponding eigenvalues? (b) Find a general solution to the differential system (c) Solve the intial value problem.

Consider the initial value problem Ÿ' = AŸ for 6 -4 4 A = -1 3 with Y (0) = -1 1 7 -1 (a) Verify that form bases for eigenspaces of A. What are the corresponding eigenvalues? (b) Find a general solution to the differential system (c) Solve the intial value problem.

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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Question

Consider the initial value problem Ÿ' = AŸ for
6
-4 4
A =
-1
3
with Y (0) =
-1
1
7
-1
(a) Verify that
form bases for eigenspaces of A. What are the
corresponding eigenvalues?
(b) Find a general solution to the differential system
(c)
Solve the intial value problem.

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