Consider the linear system of two differential equations,
Chapter , Problem 4RP(choose chapter or problem)
Consider the linear system \(\mathbf{X}^{\prime}=\mathbf{A} \mathbf{X}\) of two differential equations, where A is a real coefficient matrix. What is the general solution of the system if it is known that \(\lambda_{1}=1+2 i\) is an eigenvalue and \(\mathbf{K}_{1}=\left(\begin{array}{l} 1 \\ i \end{array}\right)\) is a corresponding eigenvector?
Text Transcription:
mathbf X^prime = mathbf A mathbf X
lambda_1=1+2 i
mathbf K_1 = ({array} l 1 \\ i {array})
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