Recall that a real-valued function II(z,y) is harmonic in a given domain if Har(x, y) +...
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Recall that a real-valued function II(z,y) is harmonic in a given domain if Har(x, y) + Hyy(x, y) 0 for all (x, y) in the domain. Determine if the following functions are harmonic in the ry plane: 1. e+e" 2. x² sin(x) 3. (x-y)(x+y) Recall that a real-valued function II(z,y) is harmonic in a given domain if Har(x, y) + Hyy(x, y) 0 for all (x, y) in the domain. Determine if the following functions are harmonic in the ry plane: 1. e+e" 2. x² sin(x) 3. (x-y)(x+y)
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