Mathematics

Mathematics

Problem

When sketching the slope field for dydx=y x−1 \displaystyle \frac{dy}{dx}=\frac{y}{\,x-1\,} on the rectangular lattice 0≤x≤30\le x\le 3 and −2≤y≤2-2\le y\le 2 with integer coordinates, list every lattice point where no segment should be drawn because the slope is undefined.

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