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    I am struggling a bit at the moment with differential equations, and wondering if anyone could help me with the following questions.

    Given that y(o) = 50

    y(t) + 0.5y(t-1) = 6

    verify using t = 1 and t = 0 and analyze the stability of the system.

    Describe in the nature of the time path and produce a graph of the latter

    Thank you for your help i advance, and if you recommend any websites where i could further my knowledge it would be much appreciated
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    Are you able to write down y(1), y(2), etc?
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    (Original post by BabyMaths)
    Are you able to write down y(1), y(2), etc?
    i get y(t)=-23^t + 4 but i have a feeling thats really wrong
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    (Original post by BabyMaths)
    Are you able to write down y(1), y(2), etc?
    i get y= -19 and y(2) = 15.5
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    (Original post by ilikemaths1)
    i get y= -19 and y(2) = 15.5
    Keep going.

    Do it on a calculator.

    50=

    6-ANS/2
    =
    =
    =
    ....eventually...?
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    (Original post by BabyMaths)
    Keep going.

    Do it on a calculator.

    50=

    6-ANS/2
    =
    =
    =
    ....eventually...?
    eventually 4, what does that show?
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    You are asked to describe etc..

    BTW, is part of the question missing?
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    (Original post by BabyMaths)
    You are asked to describe etc..

    BTW, is part of the question missing?
    how do you verify the answer?

    and the nature bit? :/

    And onpe that seems to be all of it
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    Strange. If that's the whole question there doesn't seem to be anything to verify.

    Your thread title suggests there should be a differential equation knocking around somewhere.

    With just the behavior at t=0,1,2,3,4.. what can we say? It settles down to y=4 but what is y when t=101.1?

    Sorry. I'm babbling.
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    (Original post by BabyMaths)
    Strange. If that's the whole question there doesn't seem to be anything to verify.

    Your thread title suggests there should be a differential equation knocking around somewhere.

    With just the behavior at t=0,1,2,3,4.. what can we say? It settles down to y=4 but what is y when t=101.1?

    Sorry. I'm babbling.
    oh okay no problem, what you said was helpful anyways so thank you
 
 
 
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Updated: January 2, 2013
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