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Math Help - Slope Field

  1. #1
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    Slope Field

    how do you go about sketching slope field of y'=1-y^2?


    Thank you
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  2. #2
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    y'=1-y^2
    when y = 0, y' = 1 ... sketch a bunch of slopes = 1 along the x-axis

    when y = 1, y' = 0 ... sketch a bunch of slopes = 0 along the line y = 1

    when y = -1, y' = 0 ... sketch a bunch of slopes = 0 along the line y = -1

    when y = 2, y' = -3 ... sketch a bunch of slopes = -3 along the line y = 2

    when y = -2, y' = -3 ... sketch a bunch of slopes = -3 along the line y = -2

    get the idea?
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