Next time check that your post displays latex equations properly.
above is the given equation based on Kirchhoff law.
And the question is:
Find the solution of the ODE to obtain y[t] as some integral of x[t].
I had search through google and found a solution here.
But i do not know how to introduced the !! Anyone help!! can any1 provide me some solution??
The ODe of the electric circuit is:
multiply the equation by:
as you might notice the left hand side became a perfect differential. Now we integrate both sides from to arbitrary time t:
# RC is the time constant of the circuit which is usually denoted as
# This integral is called the convolution integral, and
is the impulse response of the circuit, these are very important concepts which you'll probably meet in your future studies.