Question: Differential Equation Problem 1. (1 point) A patient is given warfarin at a constant rate of 4 mg/day. The drug is metabolized by the body

Differential Equation

Problem 1. (1 point) A patient is given warfarin at a constant rate of 4 mg/day. The drug is metabolized by the body at a continuous rate of 2.3 % per day. (a) If W(t) is the amount (in mg) of morphine in the patient's body, write out a differential equation that describes the rate of change of the drug level in the patient's body over time. Formatting note: your differential equation should involve the capitalized letter "W\" dW dt _ (b) Identify the equilibrium level of the drug for the patient. Equilibium level is mg (c) Use separation of variables to find the solution to the differential equation you built in part (a), given the initial condition W(0) = 0. Formatting note: Your answer should be a function of the variable "t". W(t) = mg

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