Time Reversal Property in Laplace Transform Watch more videos at www.tutorialsp... Lecture By: Ms. Gowthami Swarna, Tutorials Point India Private Limited
For every one asking about -ve sign Explanation bellow We know -t=a So T at + infinity,a is -ve infinity And T at -ve infinity,a is +ve infinity. So integral will change from +ve infinity to -ve infinity when a is substituted... Now -ve sign of da is used again to shift integral from -infinity to+ve infinity..... Which looks like laplace equation... Also st is positive as -s *-a is eith sa or -(-s)a Hope this helps...thanks..all the best
In reality, while solving numerical problems we observe the LT{f(-t)}= - F(-s). One may verify this. What is the explanation of presence of negative sign(-) associated with F(-s)?
Although the way mam did derivation is wrong, She had the right answer in the beginning and that is: x(-t) ---- LT -----> X(-s) You can also prove this by time scaling property by simply putting a=-1 If you people have furthers doubt please don't contact me.
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Although t is replaced by -t, the ‘t’ in e^(-s*t) should not be change to e^(s*t). The result you proved is wrong
For every one asking about -ve sign
Explanation bellow
We know -t=a
So T at + infinity,a is -ve infinity
And T at -ve infinity,a is +ve infinity.
So integral will change from +ve infinity to -ve infinity when a is substituted...
Now -ve sign of da is used again to shift integral from -infinity to+ve infinity.....
Which looks like laplace equation...
Also st is positive as -s *-a is eith sa or -(-s)a
Hope this helps...thanks..all the best
In reality, while solving numerical problems we observe the LT{f(-t)}= - F(-s).
One may verify this.
What is the explanation of presence of negative sign(-) associated with F(-s)?
Dear Ma'am, there are a lot of irregularities with the mathematics. Especially the signs.
If - t = a, how come dt=da?
same doubt 🙄
exactly these are just posting videos without knowing that there are mistakes. it's so weird
Although the way mam did derivation is wrong, She had the right answer in the beginning and that is:
x(-t) ---- LT -----> X(-s)
You can also prove this by time scaling property by simply putting a=-1
If you people have furthers doubt please don't contact me.