GeoGebra for Differential equations (FM Conference 2023)

GeoGebra Institute of MEI, Feb 1, 2023

Table of Contents

  1. 1st order differential equations
    1. Visualising dy/dx=2x
    2. Visualising dy/dx=2y
    3. Visualising dy/dx=3x²/y
  2. Using the CAS view
    1. CAS view: general solutions
    2. 2nd order DEs
    3. 2nd order differential equations
    4. Second Order Linear DE solver
    5. Coupled Differential Equations

1.

1st order differential equations

  • 1. Visualising dy/dx=2x
  • 2. Visualising dy/dx=2y
  • 3. Visualising dy/dx=3x²/y

1.1.

Visualising dy/dx=2x

[list][*]Enter the function: [b]f(x,y)=2x[/b][/*][*]Add the tangent field: [b]SlopeField(f)[/b][/*][*]Add a point: [b]A=(0,1)[/b][/*][*]Plot the particular solution through A: [b]SolveODE(f,A)[/b][/*][/list]
[b]Completed version (for reference)[/b]
– GeoGebra Institute of MEI

1.2.

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1.3.

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2.

Using the CAS view

  • 1. CAS view: general solutions
  • 2. 2nd order DEs
  • 3. 2nd order differential equations
  • 4. Second Order Linear DE solver
  • 5. Coupled Differential Equations

2.1.

CAS view: general solutions

– GeoGebra Institute of MEI

2.2.

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2.3.

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2.4.

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2.5.

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Information