### All AP Calculus BC Resources

## Example Questions

### Example Question #1 : Modeling By Solving Separable Differential Equations

Solve the separable differential equation

with the condition .

**Possible Answers:**

**Correct answer:**

Explanation:

To solve the separable differential equation, we must separate x and y, dx and dy respectively to opposite sides:

Integrating both sides, we get

The rules of integration used were

,

The constants of integration merged into one.

Now, we exponentiate both sides of the equation to solve for y, and use the properties of exponents to simplify:

To solve for C, we use our given condition:

Our final answer is

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### All AP Calculus BC Resources

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