Querie on sketching direction field: y’ = (x * y) / sqrt(1 - x)

Sophdof1

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Mar 8, 2019
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I have the following differential equation:

y’=(x*y)/sqrt(1-x)

I am wanting to sketch a direction field for it, however:

For example, for the point (2,y) where y is any value .... this means that y’ is undefined.

So if this is the case, then how do I sketch my segment at that point. Is it perhaps a horizontal line??

Thanks
 
I would observe that the domain of the slope function is the rectangle with opposing corners at \((-\infty,-\infty)-(-1,\infty)\), and only plot direction vectors within that rectangle. ;)
 
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