Show that $f ( x , y ) = e ^ { y } \cos x - 2 x y$ satisfies Laplace Equation $f _ { xx } + f _ { y y } = 0$ .

Name: Show that $f ( x , y ) = e ^ { y } \cos x - 2 x y$ satisfies Laplace Equation $f _ { xx } + f _ { y y } = 0$ .
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The Answer of Show that $f ( x , y ) = e ^ { y } \cos x - 2 x y$ satisfies Laplace Equation $f _ { xx } + f _ { y y } = 0$ .

Show That f(x,y)=eycos⁡x−2xyf ( x , y ) = e ^ { y } \cos x - 2 x yf(x,y)=eycosx−2xy

Show That $f ( x , y ) = e ^ { y } \cos x - 2 x y$