Asked by Anonymous
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?
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?
Answers
Answered by
bobpursley
http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap15_calculus_ab_q4.pdf