- #1
tolove
- 164
- 1
Prove:
tδ(t) = 0
The answer our TA has given isn't doing it for me:
[itex]\int dt \delta(t)f(t) = (0)f(0) = 0[/itex]
I'm wanting to write:
[itex] t \frac{d}{dt}\int \delta(t) dt = t \frac{d}{dt}(1) = t * 0 = 0 [/itex]
Am I right here? This doesn't make use of a test function. I'm very sloppy with proofs!
Thanks for your time!
tδ(t) = 0
The answer our TA has given isn't doing it for me:
[itex]\int dt \delta(t)f(t) = (0)f(0) = 0[/itex]
I'm wanting to write:
[itex] t \frac{d}{dt}\int \delta(t) dt = t \frac{d}{dt}(1) = t * 0 = 0 [/itex]
Am I right here? This doesn't make use of a test function. I'm very sloppy with proofs!
Thanks for your time!