For the differential equation dy dt = 1 − y2 (a) Sketch a slope field for this differential equation by hand. Include t values [−2, 2] and y values [−2, 2] (your axes should be a 4×4 grid). (b) Describe any shortcuts or patterns you used to make the task easier. (c) Sketch two different possible solutions for y(t) on the axes you drew in part (a).