# When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?

##### 1 Answer

May 13, 2018

Horizontal segments occur then the slope (

#yx^2 + xy^2 = 0#

#xy(x + y) = 0#

Thus whenever

Here is the final slope field.

Hopefully this helps!