Question

Which of the following could be the slope field for the differential equation y ' = x^2y?

Answer 1

@wio

Answer 2

@iambatman

Answer 3

@jdoe0001

Answer 4

@johnweldon1993

Answer 5

@dan815

Answer 6

draw little arrows with slope x^2 y
that is, near the x-axis and along the y-axis, draw horizontal arrows
make the arrows have positive slope in the region above the x-axis
they will tilt "more up" as you move to the left or right,
they will tilt down below the x-axis. (mirror image to the top)

Answer 7

The first picture does not match

Answer 8

I think it is Graph IV @phi

Answer 9

So if it needs to be positive in the 2nd region, then it would be graph III.

Answer 10

Wait, I think I am referring to these wrongly.

Answer 11

I originally thought it was the second graph shown.

Answer 12

to be sure, this one looks like a good choice:

Answer 13

Yes, that is the one I originally meant by graph IV.

Answer 14

Would you mind helping me with my other question?

Answer 15

@phi