Discussion
The complementary function of \( y'' + 4y = 0 \) is
Answer: B
The auxiliary equation is
\[ m^{2} + 4 \;=\; 0 \quad \Longrightarrow \quad m \;=\; \pm 2i, \]
so \( \alpha = 0 \) and \( \beta = 2 \), giving an undamped oscillation of angular frequency two with no exponential envelope. The frequency is the square root of the coefficient, not the coefficient itself
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