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Thread: Linear equations and transient terms?

  1. #1
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    Linear equations and transient terms?

    Hello,

    we are doing linear equations by using the integrating factor.

    Form: y'+p(x)y=q(x)

    During the problem I give the largest interval I over which general soln. is defined. Then the problem wants to determine whether there are any transient terms in the general solution. My professor briefly went over this, but she did not make that much sense to me about determining whether or not there is a transient term in the general solution.

    Do I just take the limit of the general solution from x-> infinity, and if the answer is not 0, then there is a transient term?
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  2. #2
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    Re: Linear equations and transient terms?

    On the contrary. The reason "transient" terms are called that is because they disappear- they go to 0 as x goes to infinity. Of course, the entire solution may or may not go to 0.
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  3. #3
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    Re: Linear equations and transient terms?

    Okay, great, ty.
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