Question 4 (Matrix exponential method) Question 4. Let A = = (³½³). 3 1 43 (i) Find ezA. (ii) Find the general solution of the system below using the matrix exponential method. 3 7-(11) (iii) Solve the initial value problem y 3 43 7. = (³ ³) 7. y(0) = ( 2 ) 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 12E
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Question 4 (Matrix exponential method)
Question 4. Let
A =
= (³½³).
3 1
43
(i) Find ezA.
(ii) Find the general solution of the system below using the matrix exponential method.
3
7-(11)
(iii) Solve the initial value problem
y
3
43
7.
= (³ ³) 7. y(0) = ( 2 )
3
Transcribed Image Text:Question 4 (Matrix exponential method) Question 4. Let A = = (³½³). 3 1 43 (i) Find ezA. (ii) Find the general solution of the system below using the matrix exponential method. 3 7-(11) (iii) Solve the initial value problem y 3 43 7. = (³ ³) 7. y(0) = ( 2 ) 3
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