A modification of the above differential equation is dy dt -k(y-a) - where k 0 and...

 

Transcribed Image Text:

A modification of the above differential equation is dy dt -k(y-a) - where k 0 and a are constants. 1-400 (a) Which values of k is the equilibrium point stable? Evaluate lim y(t). (b) Which values of k is the equilibrium point unstable? Evaluate lim y(t). t-00 Ilint: there is no need to solve for y(t) to evaluate the above limits. A modification of the above differential equation is dy dt -k(y-a) - where k 0 and a are constants. 1-400 (a) Which values of k is the equilibrium point stable? Evaluate lim y(t). (b) Which values of k is the equilibrium point unstable? Evaluate lim y(t). t-00 Ilint: there is no need to solve for y(t) to evaluate the above limits.