Analysis & Approaches HL · Topic 5 · Calculus

IB Math AA HL Differential Equations Worksheet (with full solutions)

First-order differential equations: separation of variables, Euler's method, slope fields and modelling growth and decay.

26 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

26pages
120marks
3difficulty levels
Yessolutions included
T5Calculus

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What this AA HL differential equations worksheet covers

First-order differential equations: separation of variables, Euler's method, slope fields and modelling growth and decay. The questions follow the order of the AA HL syllabus for Topic 5 (Calculus) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Setting up a differential equation from a rate statement
Separation of variables and finding the particular solution
Euler's method with a given step size
Slope fields and sketching solution curves
Exam tip for this topic. After separating, do not forget the constant — and use the initial condition before rearranging for y.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Calculus

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL differential equations worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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