2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) such that y'(t) = y(t). (b) Is there any other function that satisfies the condition given in (a) other than what you came up with? (c) Find (if possible) a function y(t) such that its derivative is three times that function itself. That is, find y(t) such that y'(t) = 3y(t). (d) Find (if possible) a function y(t) such that it satisfies the condition given in (c) (i.e., y'(t) y(0) = 5. 3y(t)) AND

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