Sec 4.5: Annihilator Approach

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Sec 4.5 Annihilator Approach (
Undetermined Coefficient)
Factors of a linear operator with constant
coefficients commutes
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Sec 4.5 Annihilator Approach (
Undetermined Coefficient)
Definition Annihilator
L is said to be an annihilator of the function
f(x)
Find annihilator L
RULE 1
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Sec 4.5 Annihilator Approach (
Undetermined Coefficient)
Find annihilator L
Find annihilator L
RULE 2
Find annihilator L
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Sec 4.5 Annihilator Approach (
Undetermined Coefficient)
Find annihilator L
Find annihilator L
RULE 2
Find annihilator L
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Method ( )
Given a non-homg DE
()
Step 1
Step 2
Step 3
Operate L1 on both sides then find the general
solution for
Step 4
Delete from all duplicated terms in
Step 5
Let linear combination of the
remaining (user A,B,C,.)
Step 6
Subsitute into ()
Step 7
Groups and match ? linear system ( Find
A,B,C,..)
Step8
Use A,B,C to write
Solve
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