Consider the linear system -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. v1 = and A2 = v2 = Find the real-valued solution to the initial value problem 3y1 + 2y2, Y1(0) = -2, -5y1 – 3y2, Y2(0) = 5. Use t as the independent variable in your answers. Y1(t) = Y2(t) =
Consider the linear system -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. v1 = and A2 = v2 = Find the real-valued solution to the initial value problem 3y1 + 2y2, Y1(0) = -2, -5y1 – 3y2, Y2(0) = 5. Use t as the independent variable in your answers. Y1(t) = Y2(t) =
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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Chapter 7.3 Question 4
Transcribed Image Text:Consider the linear system
j' =
2
y.
3
a. Find the eigenvalues and eigenvectors for the coefficient matrix.
and X2 =
v2 =
=
Find the real-valued solution to the initial value problem
3y1 + 2y2,
Y1(0) = -2,
— 5у1 — Зу2,
Y2(0) = 5.
Use t as the independent variable in your answers.
Yı(t) =
Y2(t)
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