Worksheet: Slope Fields and Solution Curves

In this worksheet, we will practice drawing slope fields, which help visualize the general solution of first-order differential equations graphically.

Q1:

Consider the given slope field graph. At which point is the differential equation equal to zero?

  • APoint 𝐴
  • BPoint 𝐵
  • CPoint 𝐶
  • DPoint 𝐷
  • EPoint 𝐸

Q2:

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

  • A 𝑦 = 𝑥 + 2 𝑥 3
  • B 𝑦 = 2 𝑥 𝑥 3
  • C 𝑦 = 𝑥 2 𝑥 + 3
  • D 𝑦 = 𝑥 2 𝑥 3
  • E 𝑦 = 𝑥 + 2 3 𝑥

Q3:

Which of the following is the slope field of the differential equation 𝑦 = 2 𝑥 + 3 𝑦 5 ?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following is the slope field of the differential equation d d s i n h 𝑦 𝑥 = 𝑥 ?

  • A
  • B