We've just finished discussing about elimination of arbitrary constants, so I'm confused on how to solve and sketch this type of problem, I was told that the answer in this problem is $xy'-y=0$ but wait, how did that happen?
2026-04-04 01:56:17.1775267777
Sketch and find the differential equation of all lines through the origin
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Observe that $y=cx $ is a solution for every $c $, so allowing $c $ to be arbitrary, we can get any line through the origin.