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).

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).

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For the differential equation d y d t = 1 y 2 (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).

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