Question

Consider the direction field of the differential equation dy/dx = x(y − 8)2 − 4, but...

Consider the direction field of the differential equation

dy/dx = x(y − 8)2 − 4,

but do not use technology to obtain it. Describe the slopes of the lineal elements on the lines

x = 0,

y = 7,

y = 8,

and

y = 9.

x = 0        
y = 7     
y = 8     
y = 9     

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