Hi,
This is my first post here, and I was wondering if someone could see something wrong with my answer to the following question.
Find the extremal for when and i.e. free)
My Solution (sorry, it goes for a while )
Let . Then the Euler-Lagrange equation is
which implies
which has general solution .
Now using the endpoint conditions
Transversality Condition
Recall that so
Sub in
Now so
Therefore the extremal is
Have I done this correctly?
Thank-you