Introduction to differential equations
What is an ODE → First-order → Second-order linear → Numerical solutions
- 01
What is an ODE
Describing change through derivatives; existence and uniqueness of solutions.
about 8 min · 1 Interactive experiments · 2 Exercises
- 02
First-order equations
Separation of variables, integrating factors and the geometry of solutions.
about 7 min · 1 Interactive experiments · 2 Exercises
- 03
Second-order linear equations
Why the characteristic equation works: it is an eigenvalue problem.
about 8 min · 1 Interactive experiments · 2 Exercises
- 04
Numerical solutions
Euler and RK4: step size, error and the connection to Taylor expansion.
about 7 min · 1 Interactive experiments · 2 Exercises
Position in the knowledge tree
PublishedPlannedPrerequisite chain
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Foundations of calculus
Foundations of linear algebra
Introduction to differential equations
Planned