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Numerical Solving ODEs in Excel

Numerical Solving ODEs in Excel. Solving a System of ODEs Using the Runge-Kutta Method. Brought to You By Chris Mark and Katie Feldt. Fourth-Order Runge-Kutta: RK4. Fourth-Order Runge-Kutta: RK4. Fourth-Order Runge-Kutta: RK4. Modeling in Excel: An Example. Example Problem

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Numerical Solving ODEs in Excel

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  1. Numerical Solving ODEs in Excel Solving a System of ODEs Using the Runge-Kutta Method Brought to You By Chris Mark and Katie Feldt

  2. Fourth-Order Runge-Kutta: RK4

  3. Fourth-Order Runge-Kutta: RK4

  4. Fourth-Order Runge-Kutta: RK4

  5. Modeling in Excel: An Example Example Problem x’ = 3x – 2y x(0) = 3 y’ = 5x – 4y y(0) = 6 Known Solution Edwards, C. Henry and David E. Penney. Differential Equations: Computing and Modeling, Third Edition. Upper Saddle River: Pearson Education, Inc., 2004. 266-268.

  6. Modeling in Excel

  7. Modeling in Excel

  8. Modeling in Excel

  9. Modeling in Excel

  10. Modeling in Excel

  11. Error Analysis

  12. Thank you for tuning in!

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