1. Differential Equations by Separation of Variables
M.L.King Jr. Birthplace, Atlanta, GA
Greg Kelly
Hanford High School
Richland, Washington
Photo by Vickie Kelly, 2002

2. Differential Equations
Diffy Q’s!
We already know how to solve Diffy Q’s of the form
Just take the Antiderivative!

3. 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.)

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

5. Example:

6. In another generation or so, we might be able to use the calculator to find all integrals.
Until then, remember that half the AP exam and half the nation’s college professors do not allow calculators.
You must practice finding integrals by hand until you are good at it! p