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Example 7.2. Find a solution of the following system of ODEs using method of variation of parameters. Use yı (0) = 19 and y2 (0) = -23. y' = -3 5 6 y + et

Example 7.2. Find a solution of the following system of ODEs using method of variation of parameters. Use yı (0) = 19 and y2 (0) = -23. y' = -3 5 6 y + et

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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Example 7.2. Find a solution of the following system of ODEs using the method of variation of parameters. Use \( y_1(0) = 19 \) and \( y_2(0) = -23 \). \[ \mathbf{y}' = \begin{bmatrix} -3 & -4 \\ 5 & 6 \end{bmatrix} \mathbf{y} + \begin{bmatrix} 5 \\ -6 \end{bmatrix} e^t \]
Transcribed Image Text:Example 7.2. Find a solution of the following system of ODEs using the method of variation of parameters. Use \( y_1(0) = 19 \) and \( y_2(0) = -23 \). \[ \mathbf{y}' = \begin{bmatrix} -3 & -4 \\ 5 & 6 \end{bmatrix} \mathbf{y} + \begin{bmatrix} 5 \\ -6 \end{bmatrix} e^t \]
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