Question: DIFFERENTIAL EQUATIONS - harmonic functions Exercise 3 (a) Find all harmonic functions of the form w(:c, y) : (13:2 + bccy + of for a,

DIFFERENTIAL EQUATIONS - harmonic functions

Exercise 3 (a) Find all harmonic functions of the form w(:c, y) : (13:2 + bccy + of for a, b, c E R. (b) Find the harmonic function w(:c, y) = axz + (my + cy2, in cartesian coordinates, that takes the values cos(20) on the unit circle. Hint. Double angle formulas

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