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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.
Essential Questions
Essential Questions
How can slope fields be used to find solution(s) to differential equations?
How can slope fields be used to find solution(s) to differential equations?
Skills
Skills
Estimate solutions to differential equations.
Sketch a slope field of a differential equation.
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