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Second-Order ODE: Spring-Mass-Damper

Second-Order ODE: Spring-Mass-Damper

Steve Brunton via YouTube Direct link

Using Initial Conditions to Find Undetermined Coefficients

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Using Initial Conditions to Find Undetermined Coefficients

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Second-Order ODE: Spring-Mass-Damper

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  1. 1 Deriving the Spring-Mass-Damper Equations from F=ma
  2. 2 Solve the Equation by Guessing Solution xt = expa*t
  3. 3 The Characteristic Equation
  4. 4 Using Initial Conditions to Find Undetermined Coefficients
  5. 5 Writing as a Matrix System of Equations
  6. 6 Matlab Code Example
  7. 7 Python Code Example

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