(See Steps) (Partial Derivatives) Determine for each of the following functions f (x, y) if it is a solution of Laplace’s equation f_xx+f_yy=0 f(x,y)=e^-2y
Question: (Partial Derivatives)
Determine for each of the following functions f (x, y) if it is a solution of Laplace’s equation \({{f}_{xx}}+{{f}_{yy}}=0\)
- \(f\left( x,y \right)={{e}^{-2y}}\cos \left( 2x \right)\)
- \(f\left( x,y \right)=\sin x\cosh y+\cos x\sinh y\)
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