The amount y of the drug Warfarin in a patient’s body after t hours satisfies the differential equation dy/dt  = −0.02y (a) If a patient takes a 5 mg dose of Warfarin at time t = 0, find the amount of time it takes until 1 mg of the drug remains in the patient’s body. (b) If the amount of Warfarin in a patient’s body is increased, does the rate of dissipation of the drug increase or decrease? Justify your answer.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.