100-level Mathematics Revision Exercises

Differential Equations

These revision exercises will help you practise the procedures involved in solving differential equations. The first three worksheets practise methods for solving first order differential equations which are taught in MATH108. The next six worksheets practise methods for solving linear second order differential equations which are taught in MATH109.

  1. Separation of variables (solutions)
  2. Method of integrating factors (solutions)
  3. First order differential equations (solutions)
  4. D-operator method (solutions)
  5. Auxiliary equation method: One (solutions)
  6. Auxiliary equation method: Two (solutions)
  7. Non-homogeneous second order DEs (solutions)
  8. Second order differential equations (solutions)
  9. Revision: second order differential equations (solutions)

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