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Differential Equations

Differential Equations

Word Problems Examples

Example 1

Translate the following English statement into a differential equation:

Jenna's savings account grows at a rate of $300 per year.

Example 2

Translate the following English statement into a differential equation:

"The population is increasing at a rate proportional to the size of the population."

Example 3

Translate the following English statement into a differential equation:

The population is increasing at a rate of 2 percent per year.

Example 4

A population P has a birth rate of 1 percent and 200 people die every year. Find the overall rate of change of the population.

Example 5

Julie makes $200 dollars per week and puts it in her bank account. After making the deposit, she spends 20 percent of the money in her bank account. Model this situation with a differential equation.