← Practice

AS91579 Integration

Separable differential equations in context

AAchieved

  1. 1A Fiordland stoat population P satisfies dP/dt = −0.15P, where t is the time in months, and P = 400 when t = 0. Find P in terms of t.Free
  2. 2A bacteria colony grows at a rate proportional to its size: dN/dt = 0.2N, where t is in hours. At t = 0, N = 500. Find N when t = 5, giving an exact value.Free
  3. 3dy/dx = −3y, and y = 4 when x = 0. Find y in terms of x.Free
  4. 4A Achieved question, in the pass🔒 Pass
  5. 5A Achieved question, in the pass🔒 Pass
  6. 6A Achieved question, in the pass🔒 Pass
  7. 7A Achieved question, in the pass🔒 Pass
  8. 8A Achieved question, in the pass🔒 Pass

MMerit

  1. 9A Merit question, in the pass🔒 Pass
  2. 10A Merit question, in the pass🔒 Pass
  3. 11A Merit question, in the pass🔒 Pass
  4. 12A Merit question, in the pass🔒 Pass
  5. 13A Merit question, in the pass🔒 Pass
  6. 14A Merit question, in the pass🔒 Pass
  7. 15A Merit question, in the pass🔒 Pass
  8. 16A Merit question, in the pass🔒 Pass
  9. 17A Merit question, in the pass🔒 Pass
  10. 18A Merit question, in the pass🔒 Pass
  11. 19A Merit question, in the pass🔒 Pass
  12. 20A Merit question, in the pass🔒 Pass
  13. 21A Merit question, in the pass🔒 Pass
  14. 22A Merit question, in the pass🔒 Pass
  15. 23A Merit question, in the pass🔒 Pass
  16. 24A Merit question, in the pass🔒 Pass
  17. 25A Merit question, in the pass🔒 Pass
  18. 26A Merit question, in the pass🔒 Pass
  19. 27A Merit question, in the pass🔒 Pass
  20. 28A Merit question, in the pass🔒 Pass
  21. 29A Merit question, in the pass🔒 Pass
  22. 30A Merit question, in the pass🔒 Pass

EExcellence

  1. 31A Excellence question, in the pass🔒 Pass
  2. 32A Excellence question, in the pass🔒 Pass
  3. 33A Excellence question, in the pass🔒 Pass
  4. 34A Excellence question, in the pass🔒 Pass
  5. 35A Excellence question, in the pass🔒 Pass
  6. 36A Excellence question, in the pass🔒 Pass
  7. 37A Excellence question, in the pass🔒 Pass
  8. 38A Excellence question, in the pass🔒 Pass
  9. 39A Excellence question, in the pass🔒 Pass
  10. 40A Excellence question, in the pass🔒 Pass
  11. 41A Excellence question, in the pass🔒 Pass
  12. 42A Excellence question, in the pass🔒 Pass
  13. 43A Excellence question, in the pass🔒 Pass
  14. 44A Excellence question, in the pass🔒 Pass
  15. 45A Excellence question, in the pass🔒 Pass
  16. 46A Excellence question, in the pass🔒 Pass