Consider the differential equation \displaystyle{\frac{dy}{dt} = t-2} .

Suppose that

Slope =

Suppose (instead) that

Slope =

Suppose that

Slope =

If we only know the differential equation, (but not any points on the solution curve), which of the following could be a solution to the equation? Select all that apply.

** A. ** ** B. ** ** C. ** ** D. ** ** E. ** None of the above

Given this differential equation (but not an initial value or the solution) what information is sufficient to determine the slope of the tangent line to the solution curve at a point on the curve?

** A. ** The ** B. ** The ** C. ** The slope of the solution curve at ** D. ** None of the above

In order to get credit for this problem all answers must be correct.