Solve the Initial-Value Problem $$y ^ { tt } - 2 y ^ { t } - 24 y = 0 , y ( 1 ) = 4 , y ^ { t } ( 1 ) = 6$$

question 97

Multiple Choice

Solve the initial-value problem. Select the correct answer.
$$y ^ { tt } - 2 y ^ { t } - 24 y = 0 , y ( 1 ) = 4 , y ^ { t } ( 1 ) = 6$$

• A) \(y ( x ) = \frac { 22 } { 10 } e ^ { 6 ( x - 1 ) } + \frac { 18 } { 10 } e ^ { - 4 ( x - 1 ) }\)
• B) \(y ( x ) = \frac { 1 } { 10 } e ^ { 4 ( x - 1 ) } + \frac { 1 } { 23 } e ^ { - 6 ( x - 1 ) }\)
• C) \(y ( x ) = \frac { 1 } { 10 } e ^ { 4 x } - \frac { 1 } { 23 } e ^ { - 6 x }\)
• D) \(y ( x ) = e ^ { 6 x } - e ^ { - 4 x }\)
• E) \(y ( x ) = \frac { 1 } { 10 } e ^ { x } - \frac { 1 } { 23 } e ^ { - x }\)

Understand the impact of abuse on mental health and self-esteem.

Communicate effectively with victims and families experiencing abuse.

Develop safety and escape plans for victims intending to leave abusive situations.

Understand the principles of medication dosage calculations, including unit conversions.

---

Definitions:

Persuasive

The quality of causing someone to do or believe something through reasoning or argument.

Factual Background

The underlying facts and circumstances relating to a legal case or event, detailing what happened to lead to the current situation.

Internal Legal Memorandum

A document used within a law firm or legal department to communicate findings and recommendations on a specific legal issue.

Legalese

A specialized language filled with legal terms and phrases, often criticized for its complexity and lack of accessibility to non-lawyers.