The Particular Solution Of Is
A) $\left( \begin{array} { c } 2 t e ^ { t } / 5 + 3 e ^ { t } \\- 2 t e ^ { t } / 5 + 2 e ^ { t }\end{array} \right)$

question 4

Multiple Choice

The particular solution of $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 2 & 3 \\2 & 1\end{array} \right) \mathbf { X } + \left( \begin{array} { c } e ^ { - t } \\0\end{array} \right)$ is

• A) \(\left( \begin{array} { c }
• 2 t e ^ { t } / 5 + 3 e ^ { t } \\
• - 2 t e ^ { t } / 5 + 2 e ^ { t }
• \end{array} \right)\)
• B) \(\left( \begin{array} { c }
• 2 t e ^ { - t } / 5 + 3 e ^ { - t } \\
• - 2 t e ^ { - t } / 5 + 2 e ^ { - t }
• \end{array} \right)\)
• C) \(\left( \begin{array} { c }
• 2 t e ^ { - t } / 5 - 3 e ^ { - t } \\
• - 2 t e ^ { - t } / 5 - 2 e ^ { - t }
• \end{array} \right)\)
• D) \(\left( \begin{array} { c }
• 2 t e ^ { t } / 5 - 3 e ^ { t } \\
• - 2 t e ^ { t } / 5 - 2 e ^ { t }
• \end{array} \right)\)
• E) none of the above

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Definitions:

Complexity

The state of having multiple interconnected parts, which can make understanding or solving problems more difficult.

Impact

The significant or lasting effect that something, particularly a significant change, has on a situation, process, or state.

Assessing Change

The process of evaluating or determining the extent, significance, or effects of alterations in a given situation or environment.

Measurable Outcomes

Specific, quantifiable results that can be used to evaluate the success or impact of an activity or project.