Question: a) Give an example of an autonomous differential equation y' = f(y) such that y = 1 is an equilibrium solution, namely a source,

a) Give an example of an autonomous differential equation y' = f(y) 


a) Give an example of an autonomous differential equation y' = f(y) such that y = 1 is an equilibrium solution, namely a source, and the solution y(t) with y(0) = 2 exists for all t and approaches infinity for t - 00. b) Give an example of an autonomous differential equation y' f(y) such that y = 1 is an equilibrium solution, namely a source, and the solution y(t) with y(0) = 2 approaches infinity after finite time t.

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