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Mathematics
Mathematics
Problem
For the differential equation
d
y
d
x
=
x
y
−
2
\dfrac{dy}{dx}=xy-2
d
x
d
y
=
x
y
−
2
, list all lattice points with integer coordinates satisfying
−
2
≤
x
≤
2
-2\le x\le 2
−
2
≤
x
≤
2
and
−
2
≤
y
≤
2
-2\le y\le 2
−
2
≤
y
≤
2
at which the slope in its slope field equals zero.
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