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Differential equations

What you have to know :

  • You must be able to integrate

    (If not check this lesson)

  • You must be able to Rearrange Formulae. 

    (If not check this lesson)

  • How to plot linear graphs

    (If not check this lesson)

  • Topic on Oxford book 11.4

Separable differential equations
1. Watch this video
2. Watch this presentation
3. Watch this solved problem
4. Watch this solved problem 2

What you have to know :

  • How to plot linear graphs.

    (If not check this lesson)

  • Oxford book exercises : 11M.

Slope fields
1. Watch this video

What you have to know :

  • How to plot linear graphs.

    (If not check this lesson.)

  • To see how to solve this exercise using Ti84 check this file

  • Oxford book exercises : 11N.

Euler's Method
1. Watch this video
2. Check this solved problem

What you have to know :

  • How to find eigenvalues and eigenvector of a matrix.

    (If not check this lesson.)

  • How to solve simultaneous equations.

    (If not check this lesson.)

  • How to solve simultaneous equations.

    (If not check this lesson.)

System of differential equations
1. Watch this video
2. Watch this solved problem
3. Check this solved problem

What you have to know :

  • How to find eigenvalues and eigenvector of a matrix.

    (If not check this lesson.)

  • How to solve simultaneous equations.

    (If not check this lesson.)

Phase portrait
1. Watch this video
2.Check this solved problem

What you have to know :

  • How to find percentage error

    (If not check this video)

Euler's method for coupled differential equations
1. Watch this video
2.Check this solved problem with GDC

What you have to know :

  • How to solve differential equations using separable variables

Lotka-Volterra differential equations
1. Watch this video

What you have to know :

  • How to solve system of differential equations

Second order differential equations
1. Watch this video

What you have to know :

  • How to integrate

    (If not check this lesson)

  • How to find the magnitude of a vector

    (If not check this lesson)

Exponential motion
1. Watch this video

What you have to know :

  • How to integrate

    (If not check this lesson)

  • How to find the magnitude of a vector

    (If not check this lesson)

  • How to manipulate trigonometric expressions

    (If not check this lesson)

Trigonometic motion
1. Watch this video

Now Lets Practice!

  • Solve the problems.

     

Separable Differential equations and Euler's method

Now Lets Practice!

  • Solve the problems.

     

Second Order, Eigenvalues/Vectors, equilibrium
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