So I have a diff eq(adsbygoogle = window.adsbygoogle || []).push({});

dy/dx = ky - w

where K and W are constant's

I wanna draw a phase portrait

so i set ky - w = 0

and determine the expression equals 0 at y = w/k

so I wanna study the behavior of the solution greater w/k

and less than w/k

so I plug (2w/k) and (-2w/k) and check the sign

so k(2w/k) - w = w Positive

and

k(-2w/k) - w = -3w Negative

Did I determine this correctly? I feel like I am doing something horribly wrong here

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# Phase portrait

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