20. Which of the following best represents the particular solution of the differential equation: y" – 6y' + 9y = 6x² + 2 – 12e? (a) yp = Ax? + Bx +C + Ee3z (b) yp = Ar? + Bx + C+ Ex²e3 (c) yp = Ar? + Bx +C + Exez (d) y, = Ar? + Bx + C+ Ere3*

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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20. Which of the following best represents the particular solution of the differential equation:
y" – 6y' + 9y = 6x? + 2 – 12e?
(a) yp = Ax? + Bx + C + Ee3z
(b) yp = Ar? + Bx +C + Er e3*
(c) y, = Ar? + Bx +C + Exe3z
(d) y, = Ar? + Bx + C+ Ere3*
Transcribed Image Text:20. Which of the following best represents the particular solution of the differential equation: y" – 6y' + 9y = 6x? + 2 – 12e? (a) yp = Ax? + Bx + C + Ee3z (b) yp = Ar? + Bx +C + Er e3* (c) y, = Ar? + Bx +C + Exe3z (d) y, = Ar? + Bx + C+ Ere3*
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