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Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a) = 8 -1 f(t) = 9 -2 42 e 8t A = x(0) = 70 e t Find the projection matrix(matrices) for A. -11 19 -1 The projection matrix(matrices) is/are 99 8. 9 -1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. 1 - e-t+9e7t e-t -9e -t+9e* 9e -t. Find the particular solution to the initial value problem. X(t) =

Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a) = 8 -1 f(t) = 9 -2 42 e 8t A = x(0) = 70 e t Find the projection matrix(matrices) for A. -11 19 -1 The projection matrix(matrices) is/are 99 8. 9 -1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. 1 - e-t+9e7t e-t -9e -t+9e* 9e -t. Find the particular solution to the initial value problem. X(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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Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a) = x . 8 -1 f(t) = 42 e 6t A = x(0) = 9 -2 70 e 8t Find the projection matrix(matrices) for A. -1 1 19 -1 The projection matrix(matrices) is/are -9 9 9 -1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. - e -t+9e e -t-e 7t 1 8 - 9e -t+9e 9 e t- e7t Find the particular solution to the initial value problem. x(t) =
Transcribed Image Text:Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a) = x . 8 -1 f(t) = 42 e 6t A = x(0) = 9 -2 70 e 8t Find the projection matrix(matrices) for A. -1 1 19 -1 The projection matrix(matrices) is/are -9 9 9 -1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. - e -t+9e e -t-e 7t 1 8 - 9e -t+9e 9 e t- e7t Find the particular solution to the initial value problem. x(t) =
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