Answered: a) Write the initial value problem in…

a) Write the initial value problem in vector form. b) Solve by using eigenvalues/eigenvectors. c) Write the solution in x(t), y(t) form.

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

a) Write the initial value problem in vector form.
b) Solve by using eigenvalues/eigenvectors.
c) Write the solution in x(t), y(t) form.

dx
dt
dy
dt
x(0) = 3
y(0) = 2
x – y
2x – Y

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