Without solving explicitly, classify the critical points of the given first-order autonomous differential equation as either asymptotically stable or unstable. All constants are assumed to be positive. (Enter the critical points for each stability category as a comma-separated list. If there are no critical points in a certain category, enter NONE.) mdv/dt = mg − kv asymptotically stable v= unstable v= none

Without solving explicitly, classify the critical points of the given first-order autonomous differential equation as either asymptotically stable or unstable. All constants are assumed to be positive. (Enter the critical points for each stability category as a comma-separated list. If there are no critical points in a certain category, enter NONE.)

mdv/dt = mg − kv

asymptotically stable v=

unstable v= none