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Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

Steve Brunton via YouTube Direct link

Method 4: Write as a Matrix System of Equations

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Method 4: Write as a Matrix System of Equations

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Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

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  1. 1 Introduction
  2. 2 Deriving the Spring-Mass Equations from F=ma
  3. 3 Method 1: Guess the Solution!
  4. 4 Method 2: Taylor Series Solution
  5. 5 Method 3: Guess Again!
  6. 6 Method 4: Write as a Matrix System of Equations

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