Differential+Equations+(Separation+of+Variables)

=__Differential Equations__= Sometimes, taking the antiderivative is not limited to one variable. In other words, sometimes one must derive more than one variable. An antiderivative is basically integrating dy/dx, and this can include x or x and y. The tratitional antiderivative includes only x, but seperation of variables allows those miltivariable curves to be integrated.

The process of seperating the variables includes putting all the x variables of one side of the equation sign and all the y variables on the other side of the equal sign. Then, multiply both sides by dy. Following this step, integrate both sides. If an original point is known then the "C" value present in an antiderivative can be calculated.


 * Example One **