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Differential EquationsMediumSystems of Differential Equations

Systems of Differential Equations · Medium problem

A drug dose of 1010 mg is swallowed at t=0t=0 (hours). The amount xx in the stomach and the amount yy in the bloodstream satisfy x′=−2x, y′=2x−yx'=-2x,\ y'=2x-y, with x(0)=10, y(0)=0x(0)=10,\ y(0)=0. Find the largest amount of drug, in mg, that is ever in the bloodstream.