anyone good with basic differential equations?

[bignateyk]

this may be a long shot, but I am having trouble with this differential equation problem, which is pretty basic.

Initial Value Problem:

dy/dt + ay = f(t)
y(0) = y0

The question is, does the limit as t --> infinity depend on the value of y(0)?

I tested a few sample cases, and the ones I tested didnt seem to depend on y(0), but I dont know how to find out for the problem in general. If anyone could help me, I would greatly appreciate it.

 

[VictorLazlo]

Well this topic fell off the front page like a rock. Although I believe this group of individuals may not be up to the challenge of answering your question, I'll give you a bump anyway.

 

[FelixDeCat]

do your own homework

 

[waylman]

this question is SO EASY I refuse to answer :wine:😉

 

[Ogg]

Yes
And I got that way cause of practice and more importantly cause no one would do it for me so I hold a grudge against you.

 

[GiLtY]

Originally posted by: bignateyk
this may be a long shot, but I am having trouble with this differential equation problem, which is pretty basic.

Initial Value Problem:

dy/dt + ay = f(t)
y(0) = y0

The question is, does the limit as t --> infinity depend on the value of y(0)?

I tested a few sample cases, and the ones I tested didnt seem to depend on y(0), but I dont know how to find out for the problem in general. If anyone could help me, I would greatly appreciate it.

I think y(0) = y0 is the condition for you to solve for an exact solution, because if you solve the differential solution you'll get a general solution with a constant (I use C for the constant). With y(0) = y0 (assume y0 is some number), you can solve the general solution for a specific solution.

--GiLtY

 

[bignateyk]

Originally posted by: FelixDeKat
do your own homework

actually it isnt a homework problem... its just a problem from in the book that I am using to study with. Our homework isnt graded anyways. If you dont know how to do it or for some reason find no need to help me, then dont post.

Originally posted by: GiLtY
I think y(0) = y0 is the condition for you to solve for an exact solution, because if you solve the differential solution you'll get a general solution with a constant (I use C for the constant). With y(0) = y0 (assume y0 is some number), you can solve the general solution for a specific solution.

--GiLtY

Yeah, I know all that, I am just having trouble solving this particular equation. Thanks though.

 

[FelixDeCat]

Originally posted by: bignateyk

Originally posted by: FelixDeKat
do your own homework

actually it isnt a homework problem... its just a problem from in the book that I am using to study with. Our homework isnt graded anyways. If you dont know how to do it or for some reason find no need to help me, then dont post.

Thanks for the extended explanation of your request for assistance with your HOMEWORK. The next time you feel the need to act like an ass towards someone whos trying to help you with your apparent lack of character (as demostrated by your lack of voracity with regard to this matter as I see it), dont post.

Thank you.

 

[bignateyk]

bump