a) Sketch by hand a slope field for the differential equation y'= x/y. Use it to sketch the four solutions that satisfy the initial conditions y(0) = 1, y(0) = -1, y(2) = 1, and y(-2) = 1. Use a grapher to create a slope field for the particular solutions in part (a) and include a screen capture of the slope field. Verify your solutions in parts (a) and (b) by solving the differential equation explicitly. What type of curve is each solution b) curve?

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