Which of the following differential equations has the slope field below

Mathematics

1 answer:

Nookie1986 [14]1 year 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

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Step-by-step explanation: