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Impulse Response

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    • Unit 1: First Order Differential Equations
      • Conventions
      • Basic DE's
      • Geometric Methods
      • Numerical Methods
      • Linear ODE's
      • Integrating Factors
      • Complex Arithmetic
      • Sinusoidal Functions
      • Constant Coefficient
      • Exponential Input
      • Autonomous Equations
      • Linear VS NonLinear
    • Unit 2: Second Order Constant Coefficient Linear Equation
      • Characteristic Equation
      • Damped Oscillators
      • Exponential Response
      • Gain and Phase Lag
      • Undetermined Coefficients
      • Linear Operators
      • Pure Resonance
      • Frequency Response and Practical Response
      • Applications
      • Exams 2
    • Unit 3: Fourier Series And Laplace Transform
      • Fourier Series: Basics
      • Operations
      • Periodic Input
      • Step and Delta
      • Impulse Response
      • Convolution
      • Laplace Transform
      • Partial Fractions
      • Solving IVP's
      • Transfer Functions
      • Poles
      • Exams 3
    • Unit 4: First-Order Systems
      • Linear Systems
      • Matrix Methods
      • Phase Portraits
      • Matrix Exponentials
      • NonLinear Systems
      • Linearization
      • Limit Cycles And Chaos
    • Final Exam
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