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4 determine a differential equation y fx y that will...

Question: 4 determine a differential equation y fx y that will...

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(4) Determine a differential equation y f(x, y) that will have the following character- istics in its slope field (on a rectangular region containing the origin in the interior). Put your answer in the box provided. (a) The slopes are 0 along the line y = z. (b) The slopes are positive in quadrant 2 (c) The slopes negative in quadrant 4 (d) The slopes go towards 0 as the distance from the origin increases (except along the line u = r).

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