Consider the differential equation dy/dx = 2x - y. Let y = f(x) be the particular solution to the differential equation with the initial condition f(2) = 3. Does f have a relative min, relative max, or neither at x = 2?
Since we're trying to find a max/min I don't think it's necessary to find the integral. I tried doing 2x - y = 0, but I'm not sure if I can use the intial condition here. Is the initial condition meant to be used in the antiderivative or can it be used in the derivative itself?
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http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap15_calculus_ab_q4.pdf
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