Hi guys. I'd like to solve the following:
This corresponds to the problem .,
Then the characteristic equations are given by
, , , , .
And it's easy to find the curves (there are two) induced by the initial condition:
Solving for we have
(where the signs correspond to the signs in ).
But I don't know how to put this in closed form (i.e. in the form ). It may just be a simple elementary calculus/algebra block on my part. Any help would be much appreciated!