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Identify which one of the following will $\text{NOT}$ satisfy the wave equation.

  1. $50 \; e^{f(\omega t-3 z)}$
  2. $\sin [\omega(10 z+5 t)]$
  3. $\cos \left(y^{2}+5 t\right)$
  4. $\sin (x) \cos (t)$
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