NIELIT 2018-25

Question

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

• A. $f(y+x)+e^{2x}g(y-x)$
• B. $e^{2x} f(y+x)+g(y-x)$
• C. $e^{-2x} f(y+x)+g(y-x)$
• D. $f(y+x)+e^{-2x}g(y-x)$