As discussed in the previous unit, differential equations relate a function of an independent variable and the functions derivatives. A slope field is a graphical representation of a differential equation on a finite set of points in the plane.
Slope fields provide information about the behavior of solutions to first-order differential equations.
Solutions to differential equations are functions or families of functions.
How can slope fields be used to find solution(s) to differential equations?
- Estimate solutions to differential equations.
- Sketch a slope field of a differential equation.