- #1

- 75

- 0

I need to revise on some Engineering Math now - Calculus, Laplace Transforms etc. I have been doing it for a couple of days.

I am getting stuck in a discussion of Complex Variables & Complex functions in Laplace Transforms.

G(s) = 1/(s+1)

We are trying to check if this satisfies Cachy-Reimann & hence analytic.

This is how the analysis goes in the notes I am referring to

G(σ + jω) = 1/(σ + jω + 1) = G

_{x}+ jG

_{y}---------- (1)

From this, the next line says

"where

G

_{x}= (σ + 1)/ ( (σ + 1)

^{2}+ ω

^{2})

G

_{y}= (-ω)/( (σ + 1)

^{2}+ ω

^{2})

"

I don't see how you get G

_{x}& G

_{y}from (1)

Can someone help?

If this is based on some other Math stuff which I need to study before getting here, do let me know.