Determine general and particular solutions for problems involving differential equations in context.
Example Problems
The population of an algae culture increases at a rate that is proportional at any time to the population at that time. The culture contained 500 cells initially, and the population triples every 9 hours.
What is the population of the algae culture after 15 hours?
What is the population of the algae culture after 15 hours?
The number of bacteria in a petri dish increases at a rate that is proportional at any time to the number at that time. The dish contained 1,200 bacteria initially, and the population quadruples every 20 minutes.
How many bacteria are in the dish after 50 minutes?
How many bacteria are in the dish after 50 minutes?
The balance of Lane's savings account increases at a rate that is proportional at any time to the balance at that time. The account held $8,000 initially, and it grows by 5% every year.
What is the balance of Lane's savings account after 6 years?
What is the balance of Lane's savings account after 6 years?
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