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Algevia

Calculus

Differential equations

From y' = ky through separation of variables and growth models to Abitur+

Final two years of upper secondary school and exam preparation, mainly advanced level. Differential equations are not part of every syllabus.

The booklet starts with the concept and checking a solution, then the basic equation y' = ky. It continues with separation of variables, bounded and logistic growth and linear equations with a forcing term. The chapters Application, Abitur, Transfer and Abitur+ raise the level step by step. Every problem comes with two hints, an approach, the full solution and the typical mistake.

§01Preview

Actual pages from the product, unaltered.

  • Cover: Differential equations
  • Problem page from the chapter Concept and checking
  • Solution page with hints, approach, full solution and typical mistake

§02Contents

  1. 01Concept and checking1–5/6
  2. 02The basic equation $y' = ky$1–5/6
  3. 03Separation of variables1–5/6
  4. 04Bounded growth1–5/6
  5. 05Logistic growth1–5/6
  6. 06Linear equations with a forcing term1–5/6
  7. 07Application3/6
  8. 08Abitur4/6
  9. 09Transfer5/6
  10. 10Abitur+6/6

§03Distribution of problems

How many problems sit at each level. If you are catching up on foundations, read the figures at 1 and 2; if you are working towards the final exam, those at 4 to 6.

1
Foundations
18
2
Standard
49
3
Application
10
4
Exam level
10
5
Transfer
21
6
Beyond exam level
10

Problems118

§04Topics

  • Differential equations

§05Curriculum reference

No curriculum reference has been recorded for this product yet.

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