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| Name | Linear algebra & system of first order ODEs. (4) Decouple the system of ODEs |
| Video Uploader | Video From DLBmaths |
| Upload Date | This Video Uploaded At 25-01-2014 22:49:54 |
| Video Discription | Part 4: Using the diagonalisation of the matrix of coefficients to decouple the system of first order linear ordinary differential equations. Using linear algebra to solve a system of first order linear ordinary differential equations. A system of first order linear ordinary differential equations means that the derivative of each function is related to a combination of all the functions. Instead of simply starting with a system of three first order differential equations, I have taken a third order equations and decomposed it into three first order equations. This gives a set whose solution can be checked, as well as illustrating a technique for decomposing a higher order equation. This is quite a lengthy procedure, so I have split it up into 6 stages with a separate video for each. This introduction outlines the stages, so that the videos can be skipped or viewed as appropriate. Some of the videos are viable as stand alone techniques. |
| Category | Education |
| Tags | Linear algebra | ordinary differential equation | system of first order ordinary differential equation | third order ordinary differential equation | matrix | diagonalise a matrix | decompose a third order ordinary differential equation | integrating factor |
