Consider the linear system 3 *' = Find the eigenvalues and eigenvectors for the coefficient matrix. help (numbers) help (matrices) and help (numbers) help (matrices) 12 = , 02 = Find the real-valued solution to the initial value problem x =-3x1 – 2x2, x 5x1+3x2, æ1(0) = -4, x2(0) = 10. Use t as the independent variable in your answers. 1(t) * help (formulas) r2(t) help (formulas)
Consider the linear system 3 *' = Find the eigenvalues and eigenvectors for the coefficient matrix. help (numbers) help (matrices) and help (numbers) help (matrices) 12 = , 02 = Find the real-valued solution to the initial value problem x =-3x1 – 2x2, x 5x1+3x2, æ1(0) = -4, x2(0) = 10. Use t as the independent variable in your answers. 1(t) * help (formulas) r2(t) help (formulas)
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

Transcribed Image Text:Consider the linear system
3
*' =
27
a.
Find the eigenvalues and eigenvectors for the coefficient matrix.
help (numbers)
help (matrices)
A1 =
, 01 =
and
help (numbers)
help (matrices)
12 =
, v2 =
Find the real-valued solution to the initial value problem
x = -3x1 – 2x2,
x = 5x1+3x2,
x1(0) = -4,
x2(0) = 10.
Use t as the independent variable in your answers.
help (formulas)
T2(t)
help (formulas)
OK
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