Solve the Initial-Value Problem $$y ^ { tt } + 8 y ^ { t} + 41 y = 0 , y ( 0 ) = 1 , y ^ { t } ( 0 ) = 4$$

question 82

Multiple Choice

Solve the initial-value problem. Select the correct answer.
$$y ^ { tt } + 8 y ^ { t} + 41 y = 0 , y ( 0 ) = 1 , y ^ { t } ( 0 ) = 4$$

• A)
• \[y = e ^ { - 4 x } \left( \cos ( 5 x ) + \frac { 8 } { 5 } \sin ( 5 x ) \right)\]
• B)
• \[y = e ^ { - 5 x } \left( \cos ( 5 x ) + \frac { 2 } { 5 } \sin ( 5 x ) \right)\]
• C)
• \[y = e ^ { 5 x } \left( \cos ( 4 x ) + \frac { 8 } { 5 } \sin ( 4 x ) \right)\]
• D)
• \[y = e ^ { 4 x } \left( \cos ( 5 x ) - \frac { 2 } { 5 } \sin ( 5 x ) \right)\]
• E)
• \[y = e ^ { 5 x } \left( \cos ( 5 x ) + \frac { 8 } { 5 } \sin ( 5 x ) \right)\]

Grasp the concept of brand communities and their role in creating brand loyalty.

Understand the importance of Net Promoter Scores in evaluating customer satisfaction and loyalty.

Appreciate the impact of negative word-of-mouth and how it spreads.

Understand the empirical evidence supporting differences in risk-adjusted returns among firms of varying sizes.

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