Ordinary Differential Equations
Before this course
Derivatives, integrals and exponential functions.
Review a prerequisite lesson →- 01First-Order Equations & Initial Values
Separate a simple equation, apply an initial condition and verify by differentiation.
- 02Second-Order Equations & Linear Systems
Use characteristic roots for constant-coefficient equations and read simple system stability.
- 03Laplace Transforms & Euler Steps
Transform simple initial-value equations and compare exact solutions with an explicit numerical step.
After these topics
General systems, resonance, Laplace transforms with forcing and existence/uniqueness theory.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.