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Thread: Calculus - Solving equation with y sub zero in it

  1. #1 Calculus - Solving equation with y sub zero in it 
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    Solve for t: y0e-kt = y0 / 2 y0 > 0, k >0

    I have no idea how to approach this problem. I don't even know what category this falls under so I'm having trouble googling info this type of problem.[/b]


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  3. #2  
    Forum Masters Degree organic god's Avatar
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    in my experience y sub 0 usually indicates the value of y at time = 0 and is usually some constant.

    I think your problem is related to decay processes and the t value here represents the half life of your sample.


    everything is mathematical.
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  4. #3  
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    Mod note: This looks like homework. Let me urge all members to restrict their responses to HINTS ONLY. Thank you.
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  5. #4  
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    Its not homework its a question from a sample exam paper. Its supposed to be y0^e-kt. I couldn't [SUP] tags to work on this forum.
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  6. #5  
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    Same thing. [sup] tags have been disabled because we have a LaTex facility.

    Your question, then is, if

    , then solve for .

    This is an elementary half-life problem whose solution is simple algebra. Where are you stuck?
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  7. #6  
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    I did a bit of algebra and got

    but I'm assuming they gave me the info
    y0 > 0, k > 0
    so I can solve for k and fully solve for t.

    EDIT: Can't get the latex to work.
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  8. #7  
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    the tags will work after a few posts of yours. It's afaik a precaution to prevent spammers from posting offensive pictures
    Wise men speak because they have something to say; Fools, because they have to say something.
    -Plato

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