IB Math AI HL Coupled and Second-Order Differential Equations Worksheet (with full solutions)
HL calculus: systems of coupled linear differential equations, phase portraits, eigenvalue solutions and second-order equations by substitution.
21 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation HL students.
Download the AI HL Coupled and Second-Order Differential Equations worksheet (PDF) ↓ All AI HL worksheets →
What this AI HL coupled and second-order differential equations worksheet covers
HL calculus: systems of coupled linear differential equations, phase portraits, eigenvalue solutions and second-order equations by substitution. The questions follow the order of the AI 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.
Preview
How to use it
- Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
- Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
- Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.
More AI HL worksheets on Calculus
✓ = solutions included
Questions
Is this AI HL coupled and second-order 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: Applications and Interpretation 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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