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GATE2019: 12

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Which one of the following equations represents a one-dimensional wave equation?

  1. $\dfrac{\partial u}{\partial t}=C^{2}\dfrac{\partial ^{2}u}{\partial x^{2}} \\$
  2. $\dfrac{\partial ^{2}u}{\partial t^{2}}=C^{2}\dfrac{\partial ^{2}u}{\partial x^{2}} \\$
  3. $\dfrac{\partial ^{2}u}{\partial t^{2}}=C^{2}\dfrac{\partial u}{\partial x} \\$
  4. $\dfrac{\partial ^{2}u}{\partial t^{2}}+\dfrac{\partial ^{2}u}{\partial x^{2}}=0$

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