Solve the initial-value problem. 
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Definitions:
Equal Length
Describes two or more objects or segments having the same measurement from end to end or boundary to boundary.
Necessary Condition
A prerequisite necessity for the truth or occurrence of an event or statement.
Effect
A change that is a result or consequence of an action or other cause.
Triggering Event
An occurrence that sets off a specific reaction or series of events, often used in psychological or sociological contexts.
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