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Math · Advanced Math
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16. Consider the initial value problem where fi(t) 3-k 3+k (t)]/2k with 0 k s 1 Lua (a) Find the solution y p(t, k) of the initial value problem. (b) Calculate lim ,o p(t, k) from the solution found in part (a). (c) observe that lim ,0 fe(t) o(t -3). Find the solution (t) of the given initial value problem, with fk(t replaced by 6(t 30. Is it true that po(t) lim ,0 p(t, k? (d) Plot p(t, 3), p(t, 1), and po(t) on the same axes. Describe the relation between p(t, k) and po(t).

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