dx dt dy dt x + 2y -2x – 3y x(0) = 1 y(0) = 2 | |||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
dx
dt
dy
dt
x + 2y
— 2х — Зу
x(0) = 1
y(0) = 2
Transcribed Image Text:dx dt dy dt x + 2y — 2х — Зу x(0) = 1 y(0) = 2
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.
Transcribed Image Text: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.
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