Find the general solution to the following:

and find the particular solution when A(0)=1.

I have like ten problems this way.

After all my calulations i got

is this right? I'm lost on how to find the particular solution. Can anyone help?

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- Jul 24th 2010, 09:27 PMtigergirlNonhomogenous dynamical systems
Find the general solution to the following:

and find the particular solution when A(0)=1.

I have like ten problems this way.

After all my calulations i got

is this right? I'm lost on how to find the particular solution. Can anyone help? - Jul 24th 2010, 10:57 PMmohammadfawaz
Well, to check your answer, simply try to plug in the result you got in the given difference equation. I think your solution is not 100% correct. The general form of the solution should be . Plug in the given equation and compare to find a,b and c. To find the particular solution, you have to put k = 0 in the general solution. We have to get 1. So, you find the missing parameter. For example, assuming your answer is correct, and we know A(0)=1, then: . Therefore, .

hope this helps