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
Consider a system output \( y(t) \) is related to its input \( x(t) \) as, \( y(t) = x(t) + \cos (x(t)) \). This system is
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A system is linear if it follows superposition and homogeneity principles.
Updated On: Feb 27, 2025
- Linear and time-invariant
- Linear and time-variant
- Non-linear and time-invariant
- Non-linear and time-variant
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The Correct Option is C
Solution and Explanation
- 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).
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