Solve the differential equation using the method of variation of parameters. 
Definitions:
Younger Adults
Individuals typically in their late adolescence to early 30s, often characterized by physical maturity and the onset of adulthood responsibilities.
Oxygen
A gaseous element essential for cellular respiration and energy production in living organisms, also used medically to support breathing.
Catheter
A flexible tube inserted into the body for removing fluids or introducing medication.
Trachea
The windpipe, a tube that connects the pharynx and larynx to the lungs, allowing for the passage of air during respiration.
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