Question

When will the slope field for the differential equation `(2x)/(4y-xy)` have vertical segments?

Answer 1

I’m assuming the differential equation is `dy/dx = (2x)/(4y -xy)`

We know that slope will be vertical when `dy/dx` is undefined.

This will occur when `4y-xy = 0-> y(4 -x)=0 ->y=0 or x = 4`

Hopefully this helps!