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but i am not sure if it is right setup.

y''+9y'=162sin(9t)+1296cos(9t)

the roots for complementary function are 0,-9

so it has distinct roots.

my setup is;

[Asin(9t)+Bcos(9t)]+[Asin(9t)+Bcos(9t)]

Axsin(9t)+Bxcos(9t)

am I going about it the right way?

Thank You