Question: Question 1 (10 marks) Consider the differential equation (DE) given by y = y - x -2. (a) Plot the direction field at the

Question 1 (10 marks) Consider the differential equation (DE) given by y

Question 1 (10 marks) Consider the differential equation (DE) given by y = y - x -2. (a) Plot the direction field at the points where y' = 0, y = 1, and y'= -1. (b) Plot the direction field on the x-axis, and the y-axis. (c) Without solving the DE, sketch a graph of any solution curve below the line y = x + 3. (d) Solve the DE using integrating factor. Show all solutions.

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