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Prove that the equation `y = a sin omegat` does not satisfy the wave equation and hence it does not represent a wave. |
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Answer» `(del^(2)y)/(delt^(2)) = -omega^(2) a sin omegat` and `(del^(2)y)/(delx^(2)) = 0` Since, `(del^(2)y)/(delt^(2)) != (del^(2)y)/(delx^(2))` (constant) Hence, the given equation does not represent a wave equation. |
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