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Math Help - Simple Direction Field Question

  1. #1
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    Simple Direction Field Question

    If given these Dif EQ's, I don't quite understand the differences when looking at the direction fields..

    a.) dy/dt = f(t,y)

    b.) dy/dt = f(y)

    c.) dy/dt = f(t)

    So for a, the direction field depends on both t and y.. for b, it depends only on the y value, and in c it depends only on the t value..but (if possible) would it be able to show an illustration. I can't picture it.
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  2. #2
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    Suppose 't' is the horizontal axis and 'y' is the vertical axis.

    b. Doesn't respond to horizontal movement.

    c. Doesn't respond to vertical movement.
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