olve the following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors and fix the undetermined coefficients by using technology (for example, Matlab or WolframAlpha) (a) x′ = x + 2y + 2z y′ = 2x + 7y + z z′ = 2x + y + 7z , x(0) = 9, y(0) = 1, z(0) = −1. (b) x′ = 9x − 7y − 5z y′ = −12x + 7y + 11z + 9w z′ = 24x − 17y − 19z − 9w w′ = −18x + 13y + 17z + 9w , x(0) = 2, y(0) = 0, z(0) = 1, w(0) = 1
olve the following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors and fix the undetermined coefficients by using technology (for example, Matlab or WolframAlpha) (a) x′ = x + 2y + 2z y′ = 2x + 7y + z z′ = 2x + y + 7z , x(0) = 9, y(0) = 1, z(0) = −1. (b) x′ = 9x − 7y − 5z y′ = −12x + 7y + 11z + 9w z′ = 24x − 17y − 19z − 9w w′ = −18x + 13y + 17z + 9w , x(0) = 2, y(0) = 0, z(0) = 1, w(0) = 1
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
Section: Chapter Questions
Problem 2PP: (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a...
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olve the following initial value problems for the systems of equations using the matrix method. Find
eigenvalues and eigenvectors and fix the undetermined coefficients by using technology (for example,
Matlab or WolframAlpha)
(a)
x′ = x + 2y + 2z
y′ = 2x + 7y + z
z′ = 2x + y + 7z
, x(0) = 9, y(0) = 1, z(0) = −1.
(b)
x′ = 9x − 7y − 5z
y′ = −12x + 7y + 11z + 9w
z′ = 24x − 17y − 19z − 9w
w′ = −18x + 13y + 17z + 9w
, x(0) = 2, y(0) = 0, z(0) = 1, w(0) = 1
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