1. Differential Equations
AP Calculus
Mrs. Mongold

2. What is a Diff EQ?
A differential equation is an equation containing derivatives or differentials.
A relation such that:

3. How to solve a diff eq Use a technique called: separation of variables
Separate the variables
Integrate both sides with respect to their variables
Solve for the constant if a condition is given.

5. Separable Differential Equations
A separable differential equation can be expressed as the product of a function of x and a function of y.
Example:
Multiply both sides by dx and divide both sides by y2 to separate the variables. (Assume y2 is never zero.)

6. Separable Differential Equations
A separable differential equation can be expressed as the product of a function of x and a function of y.
Example:
Combined constants of integration

7. If y(1) = 1/3

8. If y(0) = 2

10. Homework
Worksheet