1. Find all steady states of differential equationx5x24 and find stability. 2. Solve differential equation K(70-N) where ko o.

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…

The differential equation 14=dT/dt+0.017T models the temperature, T, above room temperature, of an electric burner. T is measured in degrees Fahrenheit and t is greater than or equal to zero is in seconds. Find the general solution of the differential equation in terms of a constant k

Solve a) find the general solution for the given differential equations at least for i, ii, or iv.