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Test: Differential Equations

1.	Solve the following system. $\mathbf{x'} =\begin{bmatrix} -4&2 \\ -1&-1 \end{bmatrix}\mathbf{x} + e^{3t}\begin{bmatrix} 3\\4 \end{bmatrix}$

$\mathbf{x} =c_1e^{-2t}\begin{bmatrix} 1\\1 \end{bmatrix} + c_2 e^{-3t}\begin{bmatrix} 2\\1 \end{bmatrix} + e^{3t}\begin{bmatrix} \frac{2}{3}\\ \frac{5}{6} \end{bmatrix}$

$\mathbf{x} =c_1e^{-2t}\begin{bmatrix} 1\\1 \end{bmatrix} + c_2 e^{-3t}\begin{bmatrix} 2\\1 \end{bmatrix} + e^{5t}\begin{bmatrix} 3\\ \frac{7}{8} \end{bmatrix}$

a $\mathbf{x} =c_1e^{-2t}\begin{bmatrix} 1\\1 \end{bmatrix} + c_2 e^{-3t}\begin{bmatrix} 2\\1 \end{bmatrix} + e^{5t}\begin{bmatrix} \frac{4}{3}\\ \frac{7}{8} \end{bmatrix}$

$\mathbf{x} =c_1e^{2t}\begin{bmatrix} -2\\-1 \end{bmatrix} + c_2 e^{3t}\begin{bmatrix} 1\\-1 \end{bmatrix} + e^{5t}\begin{bmatrix} 1\\ 3 \end{bmatrix}$

$\mathbf{x} =c_1e^{-2t}\begin{bmatrix} 1\\1 \end{bmatrix} + c_2 e^{-3t}\begin{bmatrix} 2\\1 \end{bmatrix} + e^{3t}\begin{bmatrix} 2\\ \frac{7}{8} \end{bmatrix}$

1/1 questions

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Oklahoma State University-Oklahoma City, Bachelor of Science, Mathematics.

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