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Thread: Convert non linear to linear form.

  1. #1
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    Convert non linear to linear form.

    Help!

    I need to reduce these non linear equations to linear form so that they meet the form Y=mX+c

    1) y=ln(ax+bx )

    2)y=a/(bx +c)

    3) y=1/(x-a)(x-b)
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  2. #2
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    Re: Convert non linear to linear form.

    In general non-linear equations cannot be reduced or transformed into linear form. That's why they are called non-linear.

    We can do two things

    a) linearize these equations about some point

    b) find a function of $y$ that is linear in $x$

    (b) is what I suspect you want. Do you know?
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  3. #3
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    Re: Convert non linear to linear form.

    the question says.....
    In an experiment sets of values of the related variables (x,y) are obtained. Show how you woiuld determine whether x & y are related by a law of the form where a, b are unknown constants
    1) y= ln(ax^2 + bx)
    2) y= a/(bx+c)
    c) y= 1/(x-a)(x-b)
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