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GeneralMath

Differential Equations

Differential Equations covers first- and second-order ODEs, Laplace transforms, systems, and applications to physics, engineering, and modeling.

Difficulty

Easy

Popularity

50%

Past questions

3

Study tips

5

Key Topics

First-Order EquationsSecond-Order Linear EquationsLaplace TransformsSystems of ODEsSeries SolutionsModeling Applications

Exam Format & Dates

When Offered

School-determined (typically semester finals in December and May/June)

Total Duration

Typically 1.5–2 hours per final exam

Scoring

Percentage / letter grade (A–F)

Pass Score

70% = passing | 90%+ = A

Administered by: Your school / districtNext date: Set by your school
SectionDurationContentWeight
Midterm Exam~75 minutesMCQ + short answer30%
Final Exam (cumulative)~2–3 hoursMCQ + problems/essays40%
Coursework / ProjectsOngoingAssignments & labs30%

Exam Breakdown & Insights

Midterm Exam30%
Final Exam (cumulative)40%
Coursework / Projects30%
2/5

Difficulty · Manageable

50

Popularity score

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1 votes

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Study Tips

  1. 1

    Show every step of your working — most exams award method marks even when the final answer is wrong.

  2. 2

    Memorize key formulas by using them repeatedly, and know exactly which ones are provided on the formula sheet.

  3. 3

    After solving a problem, check your answer by substitution or estimation to catch sign and arithmetic errors.

  4. 4

    Review class notes within 24 hours of each lesson — quick review dramatically improves retention.

  5. 5

    Use homework as diagnostic practice: redo any problem you got wrong until it feels easy.

Past Exam Questions

MediumFirst-Order Equations2023

Define the key terms involved in First-Order Equations and state any formula or rule you would use, explaining what each symbol represents.

HardSecond-Order Linear Equations2022

A problem involves Second-Order Linear Equations. Set it up carefully, solve it showing every step of your working, and check that your answer is reasonable.

MediumLaplace Transforms2024

Prove or justify a general result relating to Laplace Transforms, then apply it to a specific case and interpret what the result means in context.

Common Mistakes to Avoid

  • Skipping steps in working, which throws away method marks when the final answer is wrong.

  • Not sanity-checking answers for reasonableness (wrong units, impossible magnitudes, extraneous solutions).

  • Dropping negative signs and misapplying the order of operations under time pressure.

Official Resources

Free, official study material for Differential Equations — always start with the source your exam board publishes.

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