Ch 8.R - 16RP
Chapter , Problem 16RP(choose chapter or problem)
Verify that \(\mathbf{X}=\left(\begin{array}{l} c_{1} \\ c_{2} \end{array}\right) e^{t}\) is a solution of the linear system \(\mathbf{X}^{\prime}=\left(\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right) \mathbf{X}\) for arbitrary constants \(c_{1} \text { and } c_{2}\). By hand, draw a phase portrait of the system.
Text Transcription:
mathbf X = ({array} l c_1 \\ c_2 {array}) e^t
mathbf X^prime = ({array} ll 1 & 0 \\ 0 & 1 {array}) mathbf X
c_1
c_2
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