Consider the differential equation
.
(a) Show that the constant function y1(t) = 0 is a solution.
(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.”]
(c) Why doesn’t this example contradict the Uniqueness Theorem?
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.