Sec%208.3.2%20non-Homog%20Linear%20System

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Sec 8.3.2 non-Homog Linear System
System of Linear First-Order DE (constant Coeff)
Distinct real Eigenvalues (8.2.1)
repeated real Eigenvalues (8.2.2)
Non-real Eigenvalues (8.2.3)
System of Linear First-Order DE (Non-homog)
Variation of Parameters (8.3.2)
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Homogeneous nXn Linear System
Remarks
nXn Homog System
IF
Fundamental set of solutions
General solution
Fundamental Matrix
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NOTE
nXn Homog System
General solution can be rewritten in matrix form
as
Properties
1) Fundamental matrix is non-singular
2) Fundamental matrix satisfies the system of DE
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How to find a particular solution
Variation of Parameters
nXn non-Homog System
forget constants of integrations
Solve
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How to find a particular solution
Variation of Parameters
nXn non-Homog System
forget constants of integrations
Solve