u(x, y) = −e sinx - 2e¯* siny.

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Chapter2: Second-order Linear Odes
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(b) Verify that the following function is harmonic
u(x, y) = −e sin x - 2e siny.
Find a harmonic conjugate v of u, namely a function v such that the function
u(x, y) + iv(x, y) is an analytic function, such that v(0,0) = 4. Justify all of
your steps.
Transcribed Image Text:(b) Verify that the following function is harmonic u(x, y) = −e sin x - 2e siny. Find a harmonic conjugate v of u, namely a function v such that the function u(x, y) + iv(x, y) is an analytic function, such that v(0,0) = 4. Justify all of your steps.
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