2007-03-11 00:58:44 · 5 answers · asked by gourshweta 1 in Science & Mathematics ➔ Mathematics
One of the main uses of Laplace transform is in the stability analysis of controllers such as proportional (P), proportional Differential (PD), proportional integral (PI) and proportional Integral differential (PID) (i.e control valves). From this the effect of frequency on the stability of the control valve can be engaged and control valves designed.
2007-03-11 01:57:45 · answer #1 · answered by The exclamation mark 6 · 0⤊ 0⤋
Many of equations are very difficult to solve in their own space. Laplace or any other transform takes these equations to another mathematical space that in that space they can be solved much easier. then applying the inverse transform on the solution we can find the solution in the original mathematical space.
2007-03-11 09:28:34 · answer #2 · answered by Banzan 2 · 0⤊ 0⤋
It's like the use of logarithms in the olden days.
If you convert a function into it's Laplace transform, you can really easily do stuff like differentiation, integration and other complex stuff. Then you convert it back, and it's just like you did all the hard work yourself, and no-one is any the wiser. :)
2007-03-11 09:05:21 · answer #3 · answered by tgypoi 5 · 0⤊ 0⤋
to solve differential equations easily.
2007-03-13 07:16:49 · answer #4 · answered by irfan 3 · 0⤊ 0⤋
to solve differential equations easily.
2007-03-11 09:01:53 · answer #5 · answered by iyiogrenci 6 · 1⤊ 0⤋