Existence and Uniqueness of Solutions: Example1
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.
- 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 .
- Address the behavior of y(t) as t approaches ,
and as t approaches .
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