I have equation that:
I need to find .
I think the answer is
but math book shows me that answer:
There are two different answers taking into account cases where and . Where do these considerations come from?
What I did wrong?
Usually stand for the primitive of the function.
Using the definition of derivative, you can find
You know that for than and than Draw the graph of for example it will appear clear to you.
You thus have
if and if
Now you fin the primitive of these. For example the seconde is With initial condition you find that C = 1
if .
if .
Both cases have to be considered seperately when calculating F(x).
Read this: http://en.wikipedia.org/wiki/Laplace_distribution