Question

If f(z)= u + iv, and u-v= ex( cos y - sin y), find f(z)​

Answer 1

Answer:

Step-by-step explanation: Take u = eˣ cos y and v = eˣsin y

then,

f (z)= u + iv

f(z) = eˣ cos y + eˣ sin y

f(z) = eˣ (cos y =i sin y)

f(z) = eˣ e(iy), ( Euler 's identity )

f(z) = e ^(x+ iy)

f(z) = e^z

Hope it will help you !