Asked by Justin

The differential equation dy/dx= -x/y

I. will have a slope field with negative slopes in all quadrants
II. will have a slope field with positive slopes in all quadrants
III. will produce a slope field with rows of parallel tangents


Choices:
A. I only
B. II only
C. III only
D. None of these

Please help!! thank you in advance and I greatly appreciate it. :)
Answered by oobleck
dy/dx= -x/y
I. is clearly false, since in QII and QIV -x/y > 0
II. is clearly false, since in QI and QIII -x/y < 0
III. is clearly false, since for a given constant value of y, dy/dx depends on x

Take a visit to https://www.desmos.com/calculator/p7vd3cdmei and type in your function for dy/dx.
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