Mathematics, 12.11.2020 16:50 alaj6878
Consider the differential equation dy/dt = 2 √ |y|.
(a) Show that the function y(t) = 0 for all t is an equilibrium solution.
(b) Find all solutions. [Hint: Consider the cases y > 0 and y < 0 separately. Then you need to define the solutions using language like "y(t) = . . . when t ≤ 0 and y(t) = . . . when t > 0."]
(c) Why doesn’t this differential equation contradict the Uniqueness Theorem?
(d) What does HPGSolver do with this equation?
Answers: 1
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Consider the differential equation dy/dt = 2 √ |y|.
(a) Show that the function y(t) = 0 for all t i...
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