1. 6.4 day 1 Separable Differential Equations
Jefferson Memorial, Washington DC
Greg Kelly, Hanford High School, Richland, Washington
Photo by Vickie Kelly, 2007

2. 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.)

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:
Combined constants of integration

4. Example:
Separable differential equation
Combined constants of integration

5. p Example: We now have y as an implicit function of x.
We can find y as an explicit function of x by taking the tangent of both sides.
Notice that we can not factor out the constant C, because the distributive property does not work with tangent. p