The given system equation y′(t) + 2y2(t) = 2x′(t)

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The given system equation
y′(t) + 2y²(t) = 2x′(t) – x(t) is—

1. linear only
2. time-invariant only
3. Linear and time-invariant
4. Neither linear nor time-invariant

Correct Option: B

Given system equation
y′(t) + 2y²(t)=2x′(t) – x(t)
Since, there is no time factor in the given equation, therefore, given system is time invariant but term y²(t) make the system equation non-linear.
Therefore, alternative (B) is the correct choice.