MCQ
The differential equation for $\text{y}=\text{A}\cos\text{ax}+\text{B}\sin\text{ax}$ where $A$ and $B$ are arbitary constants is:
  • A
    $\frac{\text{d}^2\text{y}}{\text{dx}^2}-\text{a}^2\text{y}=0$
  • $\frac{\text{d}^2\text{y}}{\text{dx}^2}+\text{a}^2\text{y}=0$
  • C
    $\frac{\text{d}^2\text{y}}{\text{dx}^2}+\text{ay}=0$
  • D
    $\frac{\text{d}^2\text{y}}{\text{dx}^2}-\text{ay}=0$

Answer

Correct option: B.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+\text{a}^2\text{y}=0$

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