Differential Equations- Vector Differential Equations- Defective Coefficient Matrices

Опубликовано: 11 Март 2026
на канале: Math All Day with Dr. George Sweeney
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In this video, I discuss how to solve systems of homogeneous differential equations when the coefficeint matrix is defective. These are only systems with constant coefficients.
00:00 Method for finding additional solutions
08:38 Ex1: 1 missing solution
12:54 Ex2: 3x3 1 missing solution
18:21 Generalizing to multiple solutions
24:30 Ex3: 4x4 2 missing solutions
33:13 Conclusion