For d2y + 4dy + 3y = 3e2x the particular integral isdx2dx

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For d²y + 4 dy + 3y = 3e^2x the particular integral is
dx² dx

1. 1 e^2x
  15
2. 1 e^2x
  5
3. 3e^2x
4. C₁e^-x + C₂e^-3x

Correct Option: B

The given differential equaiton may be written as
D²y + 4Dy + 3y = 3e^2x

∴ P.I. =	3e^2x
	(D² + 4D + 3)

Substituting D = 2, we get

P.I. = 3e^2x	1	=	e^2x
	15		5