Question

If u= sinhx cosy then the analytic funtion f(z) = u + jv is

a. cosh^(-1) z +iC
b. coshz + iC
c. sinhz + iC
d. sinh^(-1) z + iC​

Answer 1

Answer:

Let v be a harmonic conjugate function of u. Then vx = −uy = −2e−2x cos 2y and v = e−2x cos 2y + g(y), ... where c is a constant and the corresponding analytic function f(z) is f(z) = u + ... sinxcos(iy) + cosxsin(iy) + ic.