Final answer:
The slope of the tangent line at any point is determined by the value of y and the term 2yx + yx².
Step-by-step explanation:
The given differential equation is: dy/dx = 2yx + yx².
To determine the correct statement about the slope field, we need to consider the equation and its components. The slope field represents the slopes of tangent lines at different points on a curve. In this case, the slopes are determined by the equation dy/dx = 2yx + yx².
Based on this equation, the correct statement about the slope field is that the slope of the tangent line at any point is determined by the value of y and the term 2yx + yx². This means that the slope field will vary depending on the values of y at each point.