ok letsa say i have d/dt {(u(-2-t) + u(t-2)}
I know that d/dt { u(t) } is q(t)...
now is it correct to think that d/dt {(u(-2-t) + u(t-2)} = q(-2-t) + q(t-2) ?
ok i'v been thinking more of this problem, now here is what i decided to do:
lets say I am concentrating my attention on the 1st part of x(t) which is: t*exp(a)*exp(-a*t)*u(t-1), and i will compute X1(jw) for it first.
i am changing t-1 to Tao, => Tao = t - 1, t=Tao+1, then i have the...
lol what u mean? i stil didnt get something? i'd be happy if u point out what else am i missing? :)
stil have question... should i have Minus sign in front of 'a' in the integral then?
just one more thing regarding this problem... now that we know my integration limits are froom -1 to 0... should i place '-' sign inside the integral before constant 'a'? because the unit step is negative? or not?
i.e. should my integral be Int(-1,0 of: -a * dt) ?
Homework Statement
x(t) = t*exp(a)*exp(-a*t)*u(t-1) - exp(a)*exp(-a*t)*u(t-1)
I need to find X(jw)...
Homework Equations
how to apply properties of Fourier transform to get an answer? Because i know that the only effective method for this..
The Attempt at a Solution
For...
Ok, let me c if i got it correct, rewriting:
u(-(t+1)) - u(-t), I am attaching picture.. the first part of this expression is shown with black, the second part which is u(-t) is shown in red..
now its clear that integral limits are from 0 to t+1?
But.. however tho.. my original problem...
hello, if i have an integral like: Int( [-u(-t) + u(-t-1)] * a * dt, -Inf, +Inf)... where a is some constant.. what would be the correct initegration limits?
the most important here is to determine correctly the integration limits.. if i solve the inequalities:
-t > 0 => t < 0
-t-1 > 0...