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03-01-2023
Mathematics

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consider the differential equation 2 dy x y dx . (a) on the axes provided, sketch a slope field for the given differential equation at the six points indicated. (b) find 2 2 d y dx in terms of x and y. determine the concavity of all solution curves for the given differential equation in quadrant ii. give a reason for your answer. (c) let y f x be the particular solution to the differential equation with the initial condition f 2 3. does f have a relative minimum, a relative maximum, or neither at x 2 ? justify your answer. (d) find the values of the constants m and b for which y mx b is a solution to the differential equation

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