Index
- Conventions
- Basic DE's
- Geometric Methods
- Numerical Methods
- Linear ODE's
- Integrating Factors
- Complex Arithmetic
- Sinusoidal Functions
- Constant Coefficients
- Exponential Input
- Autonomous Equations
- Linear vs. Nonlinear
- Characteristic Equation
- Damped Oscillators
- Exponential Response
- Gain and Phase Lag
- Undetermined Coefficients
- Linear Operators
- Pure Resonance
- Frequency Response
- Applications
- Fourier Series: Basics
- Operations
- Periodic Input
- Step and Delta
- Impulse Response
- Convolution
- Laplace Transform
- Partial Fractions
- Solving IVP's
- Transfer Functions
- Poles
- Linear Systems
- Matrix Methods
- Phase Portraits
- Matrix Exponentials
- Nonlinear Systems
- Linearization
- Limit Cycles and Chaos
Exercises are the problem that I can't solve or get wrong answer