Question

Consider a system output \( y(t) \) is related to its input \( x(t) \) as, \( y(t) = x(t) + \cos (x(t)) \). This system is

• A. Linear and time-invariant
• B. Linear and time-variant
• C. Non-linear and time-invariant
• D. Non-linear and time-variant

Hint:

A system is linear if it follows superposition and homogeneity principles.

Answer 1

The Correct Option is C

- The presence of the non-linear function \( \cos(x(t)) \) makes the system non-linear. 
- The system does not explicitly depend on time, making it time-invariant. 
Conclusion: The correct answer is option (c).