Question in Description

Question

Consider the differential equation 

Sketch a slope field for the given differential equation on your paper for the domain [−3, 3] and the range [−3, 3].

Part A: List five coordinates and the corresponding slope of their segments.

Part B: Using the slope field that you drew, describe all points in the xy-plane for which the slopes are negative.

Answer 1

For example, at the points with x coordinate 0, dy/dx = 0. So, at those points draw horizontal line segments.

At the point (1,1), dy/dx = 1²(1+2) = 3. So, at the point (1,1) draw a small line segment with slope 3.

At the point (1,-1), dy/dx = 1²(-1+2) = 1. So, at the point (1,-1), draw a small line segment with slope 1

etc