MAT3706 Ordinary Differential Equations
University of South Africa
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MAT3706 Full study notes 2022
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--231maart 20222021/2022
- MAT3706 
Full study notes 
2022 
Chapter(1( 
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x1 (t) = a11(t) x1 + a12 (t) x2 + :… + a1n(t) xn + Q1(t) 
- Qk(t) are called forcing terms 
- homogeneous when Qk (t) is zero for all k = 1; 2; … ; n 
- Non-homogenous if at least one Q k (t) is not zero 
- Solution is defined and differentiable 
Representation of homogenous system: 
Higher–order system with constant coefficients 
- Has polynomial differential operators 
Determinant of the system: 
Degenerate: If det = 0 
Non–degenerate:...
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$4.49 Meer Info
lectdenis
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Samenvatting
MAT3706 - Ordinary Differential Equations Full_study_notes.pdf
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---30oktober 20212021/2022
- MAT3706 - Ordinary Differential Equations 
Full_study_ 
Chapter(1 
x1 (t) = a11(t) x1 + a12 (t) x2 + :… + a1n(t) xn + Q1(t) 
- Qk(t) are called forcing terms 
- homogeneous when Qk (t) is zero for all k = 1; 2; … ; n 
- Non-homogenous if at least one Qk (t) is not zero 
- Solution is defined and differentiable 
Representation of homogenous system: 
Higher–order system with constant coefficients 
- Has polynomial differential operators 
Determinant of the system: 
Degenerate: If det = 0 
No...
-
$4.49 Meer Info
lectdenis