Visual Guides
Interactive references covering core topics in ordinary differential equations.
→
ODE Basics
Core definitions and notation: what an ODE is and what it means to solve one.
→
1st Order ODEs
A decision guide for choosing a solution method for first-order equations.
→
ODE Applications
Worked models built from first-order ODEs: population growth, Newton's cooling, and more.
→
Euler's Method
Numerical approximation for initial value problems, step by step.
→
2nd Order ODEs
Solution methods for second-order linear equations.
→
Fixed Points and Bifurcations
Classifying equilibria and how they appear or vanish as a parameter moves.
→
Linear and Nonlinear Systems
Phase-plane behavior of planar systems, linearized near equilibria.
→
Laplace Transform
Transform methods for solving linear ODEs with initial conditions.