Solve the Differential Equation Using the Method of Undetermined Coefficients $$y ^ { tt} + 6 y ^ { t } + 9 y = 2 + x$$

question 37

Multiple Choice

Solve the differential equation using the method of undetermined coefficients. $$y ^ { tt} + 6 y ^ { t } + 9 y = 2 + x$$

• A) \(y ( x ) = c _ { 1 } e ^ { - 3 x } + c _ { 2 } x e ^ { - 3 x } + \frac { 2 } { 9 } x\)
• B) \(y ( x ) = c _ { 1 } e ^ { - 3 x } + c _ { 2 } x e ^ { - 3 x }\)
• C) \(y ( x ) = c _ { 1 } e ^ { - 3 x } + \frac { 1 } { 9 } x + \frac { 4 } { 27 }\)
• D) \(y ( x ) = c _ { 1 } x e ^ { - 3 x } + c _ { 2 } x ^ { 2 } e ^ { - 3 x } + \frac { 4 } { 27 } x\)
• E)\(y ( x ) = c _ { 1 } e ^ { - 3 x } + c _ { 2 } x e ^ { - 3 x } + \frac { 1 } { 9 } x + \frac { 4 } { 27 }\)

Identify the divisions of the nervous system and their primary functions.

Understand the role of neurotransmitters in mental health and neurological diseases.

Recognize the anatomy and protective structures of the brain and spinal cord.

Identify and understand various neurological conditions and their definitions.

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