Cases for linear equations and undetermined coefficients

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20 Terms

1
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2 real distinct terms r1 and r2

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2
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Real Repeated R

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3
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complex a +- ib

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4
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complex 0 +- ib

no e^x because x = 0

<p>no e^x because x = 0</p>
5
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what is D

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6
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What do you do if there is resonance (the lhs contains the rhs)

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7
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RHS is k (constant) what is the guess

A

8
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if its x², guess must be Ax²+Bx+C

<p>if its x², guess must be Ax²+Bx+C</p>
9
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<p></p>

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10
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11
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12
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solve each individually 

<p>solve each individually&nbsp;</p>
13
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what is the particular solution

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14
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what is the formula to find it

<p></p>
15
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what is W

top left*bottom right - bottom left * top right

<p>top left*bottom right - bottom left * top right</p>
16
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how do you find C1’ and C2’

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17
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then what do you do?

solve for C1 and C2, and plug in

<p>solve for C1 and C2, and plug in</p>
18
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coochie euler 2 real roots

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19
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coochie euler repeating root

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20
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coochie euler complex roots

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