Find the solution of the differential equation that satisfies the initial condition 
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Definitions:
Capacity
The maximum level of output that a facility, system, or machine can produce under specific conditions over a given period.
Load Smoothing
A strategy to balance workload or production levels to minimize peaks and troughs, ensuring consistent use of resources over time.
Bill of Material
An all-encompassing register of foundational materials, pieces, and recipes necessary for erecting, generating, or fixing a product or service.
Lead Time
The time interval from initiating a process to its completion, often critical in manufacturing, supply chain management, and project planning.
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