nonhomogeneous 2nd order linear ode with constant coefficients

[sozener1]

from the attachement

second line is a differenitated version of first line

when you differentiate the exponential in the first line do you have to expand the brackets and use product rule to differentiate each term or

do you use product rule straight away???

 

[HallsofIvy]

Have you tried doing it both ways and comparing the two? What makes you think that there would be a difference?