1. Let u and v be two harmonic functions. Prove that a linear combination au +...
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1. Let u and v be two harmonic functions. Prove that a linear combination au + Bv, a, BE R, is also a harmonic function. 2. Is u? a harmonic function if u is a non-constant harmonic function? Give reason for your answer. 1. Let u and v be two harmonic functions. Prove that a linear combination au + Bv, a, BE R, is also a harmonic function. 2. Is u? a harmonic function if u is a non-constant harmonic function? Give reason for your answer.
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