Find the general solution of the given differential equation y ' ' 2y ' 3y 3te t I was able to determine the complementary solutiony c C 1 e 3t C 2 e t How do I solve for the particular solutiony p I have y p Ate t , but I am hazy on thedetails after this ...

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Find the general solution of the given differential equation:y''-2y'-3y=-3te -t I was able to determine the complementary

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Question:

Find the general solution of the given differential equation:y''-2y'-3y=-3te^-t

I was able to determine the complementary solutiony_c=C₁e^3t+C₂e^-tHow do I solve for the particular solutiony_p?
I have y_p=Ate^-t , but I am hazy on thedetails after this.