Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = x(t) = 5 4 - 3 5 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of the system \( \mathbf{x}'(t) = A \mathbf{x}(t) \) for the given matrix \( A \).

\[ A = \begin{bmatrix} 1 & \frac{5}{4} \\ -3 & 5 \end{bmatrix} \]

\(\mathbf{x}(t) = \) [Input box]
Transcribed Image Text:Find the general solution of the system \( \mathbf{x}'(t) = A \mathbf{x}(t) \) for the given matrix \( A \). \[ A = \begin{bmatrix} 1 & \frac{5}{4} \\ -3 & 5 \end{bmatrix} \] \(\mathbf{x}(t) = \) [Input box]
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