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Mathematics
Mathematics
Problem
When sketching the slope field for
d
y
d
x
=
y
x
−
1
\displaystyle \frac{dy}{dx}=\frac{y}{\,x-1\,}
d
x
d
y
=
x
−
1
y
on the rectangular lattice
0
≤
x
≤
3
0\le x\le 3
0
≤
x
≤
3
and
−
2
≤
y
≤
2
-2\le y\le 2
−
2
≤
y
≤
2
with integer coordinates, list every lattice point where no segment should be drawn because the slope is undefined.
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