Reduction formulae
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Simultaneous differential equations - Systems of differential equations
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When dealing with systems of differential equations it is appropriate to use the 'dot' notion. That is [Equation goes here - download the original to see it.] and so forth. An example of a system of differential equations that links two functions [Equation goes here - download the original to see it.] and [Equation goes here - download the original to see it.] is [Equation goes here - download the original to see it.] A solution to the first equation necessarily requires a solution to second. In other words we cannot obtain an explicit function [Equation goes here - download the original to see it.] without also simultaneously obtaining an explicit function [Equation goes here download the original to see it.] This unit is concerned with techniques for solving simultaneous differential equations.
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Contents of
Reduction formulae
1 Reduction formulae
2 Simultaneous differential equations - Systems of differential equations
3 Matrix notation- Simultaneous differential equations - Systems of differential equat
4 First order systems - Simultaneous differential equations - Systems of differential
5 Example - Simultaneous differential equations - Systems of differential equations
6 Solution to first-order constant coefficient homogeneous systems
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