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Math Help - Help with differential equation

  1. #1
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    Help with differential equation

    I am having trouble figuring out this problem. I've done differential equation problems before, but this stumps me.

    The number of viruses in a bacterium satises the differential equation
    dy/dt
    = e^(2t)

    Solve this equation and sketch some members of the family of solutions for 0 </=
    t </=1.


    What do all the curves have in common (consider their slopes at each point in time)?
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  2. #2
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    Dear jyu484,

    Because of the lack of time I attached this file instead of typing the solution. If you have any problems regarding this matter please feel free to ask me.

    Hope this helps.
    Attached Thumbnails Attached Thumbnails Help with differential equation-dsc02404.jpg  
    Last edited by Sudharaka; December 29th 2009 at 04:49 AM.
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  3. #3
    MHF Contributor

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    Quote Originally Posted by jyu484 View Post
    I am having trouble figuring out this problem. I've done differential equation problems before, but this stumps me.

    The number of viruses in a bacterium satises the differential equation
    dy/dt
    = e^(2t)

    Solve this equation and sketch some members of the family of solutions for 0 </=
    t </=1.


    What do all the curves have in common (consider their slopes at each point in time)?
    Just integrate: y= \int e^{2t}dt.
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