The General Solution Of Is
A) B) C) D) E) None of the Above

question 17

Multiple Choice

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

• A) \(c _ { 1 } \left( \begin{array} { c }
• 1 \\
• - 1
• \end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c }
• t / 4 + 19 / 16 \\
• - t / 2 + 7 / 8
• \end{array} \right)\)
• B) \(c _ { 1 } \left( \begin{array} { c }
• 1 \\
• - 1
• \end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c }
• t / 4 + 19 / 16 \\
• - t / 2 + 7 / 8
• \end{array} \right)\)
• C) \(c _ { 1 } \left( \begin{array} { c }
• 1 \\
• - 1
• \end{array} \right) e ^ { - t } + c _ { 2 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { 4 t } + \left( \begin{array} { c }
• t / 4 - 19 / 16 \\
• - t / 2 + 7 / 8
• \end{array} \right)\)
• D) \(c _ { 1 } \left( \begin{array} { c }
• 1 \\
• - 1
• \end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c }
• t / 4 + 19 / 16 \\
• - t / 2 + 7 / 8
• \end{array} \right)\)
• E) none of the above

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Definitions:

Lesbian

A female who feels emotional, romantic, or sexual attraction towards other females.

Self-Worth

The sense of one's own value or worth as a person; an important aspect of individual psychological health.

Sexual Identity

An individual's identification with certain sexual orientations or preferences, often based on their feelings, attractions, and behaviors towards others.

Early Childhood

A developmental period from birth to eight years old, critical for cognitive, emotional, and social development.