(Solved): Write a MATLAB program to plot equipotentials for the Harmonic function \( u(x, y) \) as well as fo ...

Write a MATLAB program to plot equipotentials for the Harmonic function \( u(x, y) \) as well as for its Harmonic Conjugate \( v(x, y) \). Given below. \[ u(x, y)=x^{2}-y^{2}, \quad v(x, y)=2 x y \] An Equipotential for \( u(x, y) \) is the collection of all the points in the \( x \) - y plane for which \( u(x, y)=C_{i} \) where \( C_{i} \) is a constant labling Equipotntial 1 . Choose 8 values for \( C_{i} \) to give 10 equipotentials on the same plot TASK 2B: Repeat Task \( 2 A \) for the pair \( (x, y)=-x+2 e^{-y} \cos x ; v(x, y)=-y+2 e^{-y} \sin x \)