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course course_year question_number tags title year
Complex Methods
IB
11
IB
2021
Complex Methods
Paper 3, Section I, B
2021

Find the value of $A$ for which the function

$$\phi(x, y)=x \cosh y \sin x+A y \sinh y \cos x$$

satisfies Laplace's equation. For this value of $A$, find a complex analytic function of which $\phi$ is the real part.