Just want to learn how you use antiderivatives to answer this problem of rectilinear motion: A particle starting from the point (2,1) moves on the xy-plane to generate a curve whose slope at any point (x,y) is given by x^3y^2. Obtain the equation of the curve generated. 2 questions:- can i consider the given slope of the curve to be equal to the slop of the tangent line (dy/dx)?- and how must i solve this through antidifferentiation when there are two variables in the given equation?

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by cristina08 at May 10, 2012