Why use transfer functions than differential equations? I have some simple questions regarding DSP and Control Systems, but found no simple answers. I just need simple and easy to understand answers, not complex answers with huge maths.


Why we use Transfer Functions, when we can get a system's output by just solving it's differential equation?
What we finally get after solving a transfer function (In Laplace Transform)?
Why we use Transfer Functions, when we can get a system's output by just solving it's differential equation?


Because differential equations are unwieldy and hard to deal with, and you can't see the behaviour on different frequencies from these, whereas transfer functions just give you the behaviour of an LTI system given an excitation of given property. Much easier to work with!