Form of Particular Solution Key

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Last updated 4:51 AM on 4/10/26
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12 Terms

1
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1 (Any Constant)

A

2
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R1x + R2 (For Example)

Ax+B

3
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R1x² + R2x (For Example)

Ax²+Bx+C

4
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x²-x+1

Ax³+Bx²+Cx+D

5
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sin(4x)

Acos(Rx) + Bsin(Rx)

6
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cos(Rx)

Acos(Rx) + Bsin(Rx)

7
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eRx

AeRx

8
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(Rx-J)eJx

(Ax + B)eJx

9
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x²eRx

(Ax²+Bx+C)eRx

10
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eRxsin(Jx)

AeRxCos(Jx) + BeRxSin(Jx)

11
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Rx2Sin(Jx)

(Ax²+Bx+C) Cos(Jx) + (Ex²+Fx+G) Sin(Jx)

12
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xeRxcos(Jx)

(Ax+B)eRxCos(Jx) + (Cx + E)eRxSin(Jx)