Question

The slope field to a differential equation is shown below. Which of the following differential equations could be a solution to that differential equation?

Answer 1

y = 2 + sin x

y = 5 - sin x

y = 3 + cos x

y = 1 - sin x

Answer 2

I have graphed all of these. I am not sure what to do because none of them match this picture

Answer 3

Am I supposed to find the derivative of each of these and then graph it?

Answer 4

I think that it is y=3+cos(x) due to the way that it curves