Question

Which of the following differential equations has the slope field below

Answer 1

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

How to find the differential equation that models the situation?

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

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