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Lesson: Slope Fields and Solution Curves Mathematics

In this lesson, we will learn how to draw slope fields, which help visualize the general solution of first-order differential equations graphically.

Lesson Plan

Students will be able to

draw slope fields for first-order ordinary differential equations,
understand how the slope field relates to the general solution to a differential equation.

Q1:

Consider the given slope field graph. Which of the following differential equations is represented on the graph?

Q2:

Which of the following is the slope field of the differential equation ?

Q3:

Consider the given slope field graph. Which of the following differential equations is represented on the graph?