**Example:** Suppose the differential equation satisfies the Existence and Uniqueness Theorem
for all values of *y* and *t*. Suppose and
are two solutions to this differential equation.

**1.**- What can you say about the behavior of the solution of the
solution
*y*(*t*) satisfying the initial condition*y*(0)=1?

Hint: Draw the two solutions and . **2.**- Address the behavior of
*y*(*t*) as*t*approaches , and as*t*approaches .

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