Find the Solution to the Differential Equation $\frac{d^{2} s}{d t^{2}}-25 s=0$

question 10

Multiple Choice

Find the solution to the differential equation $\frac{d^{2} s}{d t^{2}}-25 s=0$ given the boundary conditions $s(0) =10$ and $s\left(\frac{s}{2}\right) =5$ .

• A) \(s(t)=5 \cos 25 t-10 \sin 25 t\)
• B) \(s(t)=10 \cos 5 t+5 \sin 5 t\)
• C) \(s(t)=10 \cos 5 t-5 \sin 5 t\)
• D) \(s(t)=5 \cos 25 t+25 \sin 5 t\)
• E) \(s(t)=50 \cos 5 t\)

---

Definitions:

Mere Exposure Effect

A psychological phenomenon by which people develop a preference for things merely because they are familiar with them.

Self-disclosure

The process through which individuals share personal, private information about themselves with others.

Bystander

An individual who is present at an event or incident but does not take part.

Emergency Situation

A critical, unexpected event requiring immediate action to prevent or mitigate harm or disaster.