Question

The following graph (attached) could be the slope field plot for which differential equation below?

(answer choices in attachment)

Answer 1

.

Answer 2

What can you tell me about direction fields and how they relate to D.E?

Answer 3

I have no idea about any of this stuff. I just really need help in passing this quiz i'm taking.

Answer 4

ok, that y' term that they have on the left hand side of the equation can also be written as dy/dx, or change in y over change in x, which is the same thing as slope (is this quiz timed?)

Answer 5

nope.

Answer 6

Ok, so the left hand side of the equation means slope. Those lines that they have on the graph are representing the slope at each of the points. For example, you can see that in quadrant 1 (upper right) the slopes are getting less and less steep as y gets bigger.

Answer 7

You can pick a few points and put them into the equations they give, then look at how the slope on the graph for that point matches up with what the equation says it should be. If they all match, you found the right equation.

Answer 8

One example of how it works is you can look at the points along the positive side of the x axis. As x gets bigger (and y stays 1), the slope gets smaller. That automatically tells you that A can't be your answer because according to A the slopes would be getting bigger (1/1, 4/1, 9/1...)