Solve the Differential Equation $$25 y ^ { tt } + y = 0$$

question 63

Multiple Choice

Solve the differential equation. Select the correct answer.
$$25 y ^ { tt } + y = 0$$

• A)
• \(y ( x ) = c _ { 1 } \cos \left( - \frac { x } { 25 } \right) + c _ { 2 } \sin \left( - \frac { x } { 5 } \right)\)
• B) \(y ( x ) = c _ { 1 } \cos ( - 5 x ) + c _ { 2 } \sin ( - 5 x )\)
• C)\(y ( x ) = c _ { 1 } \cos \left( \frac { x } { 5 } \right) + c _ { 2 } \sin \left( \frac { x } { 5 } \right)\)
• D) \(y ( x ) = c _ { 1 } \cos ( 25 x ) - c _ { 2 } \sin ( 25 x )\)
• E) \(y ( x ) = c _ { 1 } \cos ( 5 x ) + c _ { 2 } \sin ( 5 x )\)

---

Definitions:

Dosage Levels

Refers to the quantity of medication prescribed to be taken at one time or the frequency of administration over a specified period.

Arthritis Pain

Refers to the discomfort, ache, or soreness in the joints that is often associated with forms of arthritis.

Additional Exercise

Extra physical or mental activity undertaken to promote health, improvement in skills, or learning.

Hyperactive Children

Children displaying excessive movement and impulsivity, often associated with attention deficit hyperactivity disorder (ADHD).