Question

If w = f(z) = u + iv and u – iv = ex (cosy – siny) find w in terms of z.

Answer 1

Step-by-step explanation: Take u = ex cos y and v = e'sin y then, f (z)= u + iv f(z) = ex cos y + ex sin y %3D f(z) = ex (cos y =i sin y) f(z) = ex e(iy), ( Euler 's identity) %3D f(z) = e ^(x+ iy) %3D f(z) = e^z

Answer 2

Answer:

w=z=u-iv=ex

w=z

u-iv

=ex