Since derivatives describe a function's rate of change, it's common that differential equations describe a system in which something is changing . Typically, we wish to solve differential equations for the function which they describe. A slope field gives graphical information about the behavior of a differential equation over a wide range of conditions.
Numerical solutions approximate the solution to a differential equation.
Depending on the parameters of the numerical algorithm, the answer may be more or less correct. Copyright 1995 by PWS Publishing Company, a division of International Thomson Publishing Inc.