If y xe2x is a solution of a linear homogeneous 2nd order D

If y = xe^2x is a solution of a linear homogeneous 2nd order DE, then another solution might be

_________.

y=e^2x

B.y=x

C. y=e^2x sin2x

D. Impossibletotell

E. None

Solution

y=e^2x

therefore option A is correct

this is possible in case of equal real root

.