Question 1
What is a slope field used for in differential equations?
Question 2
If a differential equation gives $\frac{dy}{dx} = x + y$, what slope should be drawn at the point $(1,2)$ in the slope field?
Question 3
What does a solution curve represent in a slope field?
Question 4
If two different solution curves on a slope field never intersect, what important idea does this illustrate?
Question 5
Which description best matches an initial condition?