# Differential Equations

Systems of Equations# Systems of Differential Equations

- Linear Homogeneous Systems of Differential Equations with Constant Coefficients
- Method of Eigenvalues and Eigenvectors
- Construction of the General Solution of a System of Equations Using the Method of Undetermined Coefficients
- Construction of the General Solution of a System of Equations Using the Jordan Form
- Method of Matrix Exponential
- Linear Nonhomogeneous Systems of Differential Equations with Constant Coefficients
- Linear Systems of Differential Equations with Variable Coefficients
- Basic Concepts of Stability Theory
- Equilibrium Points of Linear Autonomous Systems
- Stability in the First Approximation
- Method of Lyapunov Functions
- Routh-Hurwitz Criterion
- First Integrals
- Mass-Spring System
- Double Pendulum
- Home Heating
- Price and Inventory Dynamics

### Related Pages

- Differentiation of Functions
- Applications of the Derivative
- Integration of Functions
- First Order Differential Equations
- Second Order Differential Equations
- Higher Order Differential Equations
- Basic Algebra Formulas
- Trigonometric Identities
- Calculus Formulas
- Basic Geometry Formulas
- Analytic Geometry Formulas
- Matrices and Determinants