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Practice problem 2.6 S You have been given the following second order linear system and its corresponding eigenvalues: 20 -16] -16 20 a solution that has the form of: vewt z" = Guess = (0) = And then substitute it in to x = Az Then guess what the values of v and w should be in relation to the eigenvectors and eigenvalues of matrix A. you must collect four linearly dependent solutions that are different. Then determine the solution of the initial value problem where: ¹ (0) = 8 = ₁ (t)= A₁ = 4 [] A₂ = 36 T₂(t)= =

Practice problem 2.6 S You have been given the following second order linear system and its corresponding eigenvalues: 20 -16] -16 20 a solution that has the form of: vewt z" = Guess = (0) = And then substitute it in to x = Az Then guess what the values of v and w should be in relation to the eigenvectors and eigenvalues of matrix A. you must collect four linearly dependent solutions that are different. Then determine the solution of the initial value problem where: ¹ (0) = 8 = ₁ (t)= A₁ = 4 [] A₂ = 36 T₂(t)= =

Advanced Engineering Mathematics
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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Practice problem 2.6 S You have been given the following second order linear system and its corresponding eigenvalues: 20 -16] -16 20 a solution that has the form of: vewt J1 = Guess = (0) And then substitute it in to x = A Then guess what the values of v and w should be in relation to the eigenvectors and eigenvalues of matrix A. you must collect four linearly dependent solutions that are different. Then determine the solution of the initial value problem where: ¹ (0) = [8] = ₁ (t) = A₁ = 4 [] A₂ = 36 T₂(t)= =
Transcribed Image Text:Practice problem 2.6 S You have been given the following second order linear system and its corresponding eigenvalues: 20 -16] -16 20 a solution that has the form of: vewt J1 = Guess = (0) And then substitute it in to x = A Then guess what the values of v and w should be in relation to the eigenvectors and eigenvalues of matrix A. you must collect four linearly dependent solutions that are different. Then determine the solution of the initial value problem where: ¹ (0) = [8] = ₁ (t) = A₁ = 4 [] A₂ = 36 T₂(t)= =
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