The differential equation dy/dx=y-2 is given b) describe the shape and location of the patterns that occur in the slope field c) what general solution is suggested by the slope field?
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The general solution to the differential equation is x=ln |y-2|, y-2=e^x, y=e^x+2. Therefore, the pattern of the slope field will resemble an exponential function with a straight line at y=2, indicating that it has a horizontal asymptote. That's all I know.
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