1. Other
  2. Other
  3. problem 12 let fz ux y ivx y be...

Question: problem 12 let fz ux y ivx y be...

Question details

Problem (12) Let f(z) - u(x, y) +iv(x, y) be a complex function which is everywhere differentiable so, explicitly, the Cauchy-Riemann equations are satisfied. Now consider the two level curves where ci and c2 are constants (whose particular value plays no role). It is supposed that the two curves intersect at some point (x0,yo). Show that they do so orthogonally: that is to say at the point of intersection, the tangents to the curves are at right angles.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution