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Advanced · calculus, statistics, university maths

Differential equations

Advanced

Equations that describe change, used throughout science and engineering.

Topics, in order

  1. Separable and first-order linear equations
  2. Second-order linear equations
  3. Laplace transforms
  4. Systems and phase portraits
  5. Series solutions
  6. Fourier series and the heat equation

My results

Final exam

A few questions from every topic, to check you are ready to move on.

Take the final exam ›

Learn from

  • MIT OpenCourseWare 18.03
  • Paul's Online Math Notes
  • Boyce and DiPrima, Elementary Differential Equations

Move on when

You can solve a damped spring equation and describe how it behaves.