Differential equations have been used extensively in the study of drug dissolution for patients given oral medications. The three simplest equations used are the zero-order kinetic equation, the Noyes-Whitney equation, and the Weibull equation. All assume that the initial concentration is zero but make different assumptions about how the concentration increases over time during the dissolution of the medication. The zero-order kinetic equation states that the rate of change in the concentration of drug c (in mg/mL) during dissolution is governed by the differential equation dc dt = k where k is a positive constant. Is this differential equation pure-time, autonomous, or nonautonomous? pure time autonomous nonautonomous State in words what this differential equation says about how drug dissolution occurs. The drug concentration increases linearly with time during dissolution. The drug concentration remains constant with time during dissolution. The drug concentration increases exponentially with time during dissolution. The drug concentration decreases exponentially with time during dissolution. The drug concentration decreases linearly with time during dissolution. What is the solution of this differential equation with the initial condition c(0) = 0? c(t) =
Differential equations have been used extensively in the study of drug dissolution for patients given oral medications. The three simplest equations used are the zero-order kinetic equation, the Noyes-Whitney equation, and the Weibull equation. All assume that the initial concentration is zero but make different assumptions about how the concentration increases over time during the dissolution of the medication. The zero-order kinetic equation states that the rate of change in the concentration of drug c (in mg/mL) during dissolution is governed by the differential equation dc dt = k where k is a positive constant. Is this differential equation pure-time, autonomous, or nonautonomous? pure time autonomous nonautonomous State in words what this differential equation says about how drug dissolution occurs. The drug concentration increases linearly with time during dissolution. The drug concentration remains constant with time during dissolution. The drug concentration increases exponentially with time during dissolution. The drug concentration decreases exponentially with time during dissolution. The drug concentration decreases linearly with time during dissolution. What is the solution of this differential equation with the initial condition c(0) = 0? c(t) =
Differential equations have been used extensively in the study of drug dissolution for patients given oral medications. The three simplest equations used are the zero-order kinetic equation, the Noyes-Whitney equation, and the Weibull equation. All assume that the initial concentration is zero but make different assumptions about how the concentration increases over time during the dissolution of the medication. The zero-order kinetic equation states that the rate of change in the concentration of drug c (in mg/mL) during dissolution is governed by the differential equation dc dt = k where k is a positive constant. Is this differential equation pure-time, autonomous, or nonautonomous? pure time autonomous nonautonomous State in words what this differential equation says about how drug dissolution occurs. The drug concentration increases linearly with time during dissolution. The drug concentration remains constant with time during dissolution. The drug concentration increases exponentially with time during dissolution. The drug concentration decreases exponentially with time during dissolution. The drug concentration decreases linearly with time during dissolution. What is the solution of this differential equation with the initial condition c(0) = 0? c(t) =
Differential equations have been used extensively in the study of drug dissolution for patients given oral medications. The three simplest equations used are the zero-order kinetic equation, the Noyes-Whitney equation, and the Weibull equation. All assume that the initial concentration is zero but make different assumptions about how the concentration increases over time during the dissolution of the medication.
The zero-order kinetic equation states that the rate of change in the concentration of drug c (in mg/mL) during dissolution is governed by the differential equation
dc
dt
= k
where k is a positive constant. Is this differential equation pure-time, autonomous, or nonautonomous?
pure time
autonomous
nonautonomous
State in words what this differential equation says about how drug dissolution occurs.
The drug concentration increases linearly with time during dissolution.
The drug concentration remains constant with time during dissolution.
The drug concentration increases exponentially with time during dissolution.
The drug concentration decreases exponentially with time during dissolution.
The drug concentration decreases linearly with time during dissolution.
What is the solution of this differential equation with the initial condition
c(0) = 0?
c(t) =
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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