One of Poiseuille’s laws for the flow of blood in an artery says that if v(r) is the velocity of flow r cm from the central axis of the artery, then the velocity decreases at a rate proportional to r. That is, v'(r) = −ar where a is a positive constant.* Find an expression for v(r). Assume v(R) = 0, where R is the radius of the artery.

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Artery