Consider the differential equation.(a) Show that the constant function y1(t) = 0 is a solu...

Consider the differential equation

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(a) Show that the constant function y1(t) = 0 is a solution.

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(b) Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t ≤ 0, but that are nonzero when t >0. [Hint: You need to define these functions using language like “y(t) = . . . when t ≤ 0 and y(t) = . . . when t > 0.”]

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(c) Why doesn’t this example contradict the Uniqueness Theorem?