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:

Myelin Sheath

A fatty material that covers and insulates some axons to allow for faster movement of electrical impulses along the axon.

Epinephrine

Epinephrine, also known as adrenaline, is a hormone and neurotransmitter involved in the body's fight-or-flight response, increasing heart rate, muscle strength, blood pressure, and sugar metabolism.

Adrenaline Rush

A sudden increase in adrenal hormones in the body, typically in response to stress or threat, enhancing physical performance and awareness.

Neurotransmitter GABA

Gamma-aminobutyric acid, a key neurotransmitter in the brain that inhibits nerve transmission, calming nervous activity.