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2. Consider the differential equation ? = 1+ y. (a) Carefully draw a direction field: (b) Verify that y = tan(x) is a solution. (c)

2. Consider the differential equation ? = 1+ y. (a) Carefully draw a direction field: (b) Verify that y = tan(x) is a solution. (c) Plot y = tan(x) over your direction field. (d) Take a moment to contemplate the remarkable fact that y = tan(x) has vertical asymptotes, yet the direction field has no discontinuities! (e) For C E R why is y = tan(r - C) also a solution

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