Question: please answer the question below 8. (a) Sketch the direction field for the differential equation y' =x -yz +1 Note: You only need to draw

please answer the question below

8. (a) Sketch the direction field for the differential equation y' =x -yz +1 Note: You only need to draw short line segments for points with x, y between -2 and 2. (b) Use part (a) to sketch the solution curve that passes through (0, 1). 9. Determine whether the statement is true or false. The function f(x) = - is a solution of the differential equation xy' + xy = y

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