Use Figure 1. Which differential equation best matches the slope field?
- Ady/dx=2x+3y
- Bdy/dx=y+2
- Cdy/dx=-x+ycorrect
- Ddy/dx=y-x^2-2
Why C is correct
The displayed slope field has zero slopes follow the line -x+y=0, which matches dy/dx=-x+y.
AP Calculus AB Unit 7: Differential Equations
Unit 7 covers differential equations: slope fields, separation of variables and exponential models. Slope-field questions are graphical reasoning rather than computation — you read the behaviour of solutions off the field.
40 questions2 CED topics100% with a figure
How this unit behaves
What 40 questions on it look like
With only 2 topics, this unit is narrow enough to master completely — an unusual opportunity in a course this size.
100% of the questions come with a figure — a graph, diagram or data display. Reading the figure correctly is most of the work before any content knowledge applies.
Questions per CED topic.
From the bank
Three real differential equations questions
Drawn from the practice pool, not from the mock papers.
Use Figure 1. Which differential equation best matches the slope field?
- Ady/dx=-2-y
- Bdy/dx=y+1
- Cdy/dx=y-x^2-1
- Ddy/dx=2x+ycorrect
Why D is correct
The displayed slope field has zero slopes follow the line 2x+y=0, which matches dy/dx=2x+y.
Use Figure 1. Which differential equation best matches the slope field?
- Ady/dx=x+2ycorrect
- Bdy/dx=-1-y
- Cdy/dx=y+0
- Ddy/dx=y-x^2+0
Why A is correct
The displayed slope field has zero slopes follow the line x+2y=0, which matches dy/dx=x+2y.
40 questions on this unit, free to start.
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FAQ
Differential Equations questions
How do I read a slope field?
Each segment shows the solution’s slope at that point. Follow the segments to trace a solution curve through a given initial condition.
What differential equations does AB cover?
Separable ones. Separate the variables, integrate both sides, then apply the initial condition to find the constant.
Last reviewed 2026-08-28. Unit and topic names follow the College Board course framework. Question counts describe the PrepScore practice bank, not the exam.
Same course
Other AP Calculus AB units
Practise differential equations until the reasoning is automatic.
Real AP questions with a full explanation on every answer, and a mistake bank that only clears when you get it right.