Show that 
is a solution to the differential equation 
.
Definitions:
Alcohol-Based Hand Rub
A hand hygiene practice using liquids, gels or foams containing alcohol, designed to reduce or eliminate harmful germs and viruses on the hands.
Body Fluids
Liquids within the human body that perform essential functions, including blood, saliva, urine, and cerebrospinal fluid.
Intact Skin
Skin that remains unbroken and healthy, providing a natural barrier against infection and injury.
Direct Contact
A mode of disease transmission where infectious agents are transmitted through immediate physical touch or contact with an infected individual.
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