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# 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 |

### 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. |