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laplace confusion....
07-10-2017, 02:38 AM
Post: #1
laplace confusion....
Normally when we do a laplace transform, we use a function of the form f(t), a function of t, time, and the result should be a function of s, F(s), but in the example given in the user manual, they use a function of x....
e.g. If f(t) = e^(a*t), so if I try laplace(e^(a*t)), I get (e^(a*t))/x, which is wrong....should be F(s) = 1/(s-a).
So, I decided to use x instead since the user guide example used x....so I used:
laplace(e^(a*x)) gave a result of F(x) = 1/(x-a)

So, am I correct in assuming that we should use x instead of t when defining f(t), and in the result from the laplace() function, we should assume again that x is really s in the results also.....
....as in the latter example, I converted f(t) to f(x) as in...
f(t) = e^(a*t) -> f(x) = e^(a*x)
....and likewise, in the result, we get F(x) = 1/(x-a) and converting to s, we get...
F(s) = 1/(s-a)
....which is the correct answer.

So, am I correct then, in assuming that we should always convert f(t) to f(x) before calling laplace() and convert our results from F(x) to F(s)???????????

Thx
-Donald
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Messages In This Thread
laplace confusion.... - webmasterpdx - 07-10-2017 02:38 AM
RE: laplace confusion.... - Thomas_Sch - 07-10-2017, 05:30 AM
RE: laplace confusion.... - webmasterpdx - 07-10-2017, 10:01 AM
RE: laplace confusion.... - Thomas_Sch - 07-10-2017, 02:56 PM



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