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NIELIT 2018-25

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The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$:

  1. $f(y+x)+e^{2x}g(y-x)$
  2. $e^{2x} f(y+x)+g(y-x)$
  3. $e^{-2x} f(y+x)+g(y-x)$
  4. $f(y+x)+e^{-2x}g(y-x)$
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