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Find the solution to the initial value problem (y′−e−t+5)/y=−5,   y(0)=−4 Discuss the behavior of the solution y(t)y(t)...

  1. Find the solution to the initial value problem

    (y′−e−t+5)/y=−5,   y(0)=−4

  2. Discuss the behavior of the solution y(t)y(t) as tt becomes large. Does limt→∞y(t)limt→∞y(t) exist? If the limit exists, enter its value. If the limit does not exist, enter DNE.
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