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-BARSIC- [3]
2 years ago
10

Which of the following differential equations has the slope field below

Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0

The differential equation that has the given slope is: dy/dx = -xy.

<h3>How to find the differential equation that models the situation?</h3>

We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:

  • In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.
  • In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.

The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:

dy/dx = -xy.

More can be learned about differential equations at brainly.com/question/14423176

#SPJ1

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