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IB Maths AI HL Ahl 5 15 Hl Slope Fields Questions

Practise reading slope fields to estimate solution behaviour, interpreting local gradients, and justifying conclusions about direction, equilibrium, stability and long-term…

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation HL
Level
HL

Exam points

  • Read a slope field to estimate or compare solution behaviour and identify equilibrium tendencies.
  • Interpret the local gradient indicated by a slope field and connect it to the differential equation.
  • Use the field to justify qualitative conclusions about direction, stability or long-term behaviour.

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Study AHL 5.15 (HL)—Slope fields conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AI HL Ahl 5 15 Hl Slope Fields Questions question 1

[Maximum number: 2]

Consider the differential equation dy dx=xe2y\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{x}{\mathrm{e}^{2 y}}.

Identify which of the following diagrams, A, B or C, represents the slope field for the differential equation. Give a reason for your answer.

A

B

C

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