5. Consider the differential equation dy =t-y. dt 4- y 3. 2 a. Sketch a slope field on the axes at right. b. Sketch the solutions whose initial values are y(0)=-4,-3,..., 4. c. What do your sketches suggest is the solution whose initial value is y(0) = -1? Verify that this is indeed the solution to this initial value problem. 1 t -4-3-2-1 1 2 3 4 -1 -2- -3 -4