Finding the Harmonic Conjugates of a Complex Differentiable Function

In this video we discuss how to answer questions of the type where we are given one harmonic conjugate u(x,y) of a complex differentiable function f(z)=u(x,y)+i v(x,y) and asked to find the other harmonic conjugate v(x,y).

Note: In this video, we mention two Gresty Academy videos which use an almost identical method to that shown in this video. They are 'Finding the Potential Function f(x,y,z) of a Conservative Vector Field F(x, y, z)' at    • Finding the Potential Function f(x,y,...   and 'How to Solve 'Exact' First Order Differential Equations' at    • How to Solve 'Exact' First Order Diff...  

Further Note: At 3:58 we used 'i' for a function i(y) - given that we are dealing with complex numbers, using 'i' was not particularly intelligent. For clarity this is not the imaginary number 'i' but a real function i(y).

For more on complex numbers see our playlist 'Complex Numbers' at    • Complex Numbers