x/y^2 has positive values in QI
x/y^2 has negative values in QII,QIII
For any constant x, the slopes get less steep farther from the x-axis
so, what do you think?
The differential equation dy/dx = x/y^2
Possible answers:
I. will have a slope field with negative slopes in quadrant I
II. will have a slope field with positive slopes in all quadrants
III.will produce a slope field with columns of parallel tangents
IV. None of these
6 answers
My answer is III. Is that correct?
I think I like D
If you look at the slopes in any column (constant x) they are not parallel
desmos.com can produce slope fields
If you look at the slopes in any column (constant x) they are not parallel
desmos.com can produce slope fields
thank you Oobleck. I opened a new tab with Desmos.com but I don't know how to use it. Can you tell me how can I do for dy/dx= x/y^2 in desmos.com pleaseeee
just do
google "desmos slope fields"
and it will provide many hits. The top one in my list was
https://www.desmos.com/calculator/p7vd3cdmei
and then I just changed the formula
generally, googling "desmos xxx" will provide good help
google "desmos slope fields"
and it will provide many hits. The top one in my list was
https://www.desmos.com/calculator/p7vd3cdmei
and then I just changed the formula
generally, googling "desmos xxx" will provide good help
thank you so muchhhh
1 answer