Ah, but you do know that, due to the integrating factor method, that
Does that get you started?
Hi
given the nonhomogeneous linear differential-equation
with
and no explicit solution x(t) of the problem, i like to show that
in addition for i'm able to show that:
and
do you know any theory i'm allowed to use in this case? i just find some results in stabilitytheory for homogeneous case with a constant coefficient a(t).
thanks for any hints or suggestions in advance.
kind regards, debelix
Ah, but you do know that, due to the integrating factor method, that
Does that get you started?
You have a confusing statement in the OP that could use some clarification:
Does that mean you have already shown this? Because, given the conditions of the original problem, you definitely cannot conclude that. You need assumptions on the nature of those two functions.In addition for I'm able to show that:
and
ok, to avoid a confusion (my english isn't the best):
i have
my assumptitions on f are
1.
2. and
3.
the author of the article i'm working with says: "it's obvious that for "
for me, it isn't that obvious
do you have any ideas?
EDIT (forgot the c in assumption 3)