Handout 8 introduced a fast method of solving linear equations with constant coefficient.

The example used was of repeated roots, where Q( r)=Q`( r) = 0.

I am wondering for a question like Problem 3 in Term test 1, how can we apply this method?

I tried to apply the equation but I got a solution of particular solution totally different from the answer key.

something like (3t^2 - 5t^2 e^(-2t))/(5t-1)

Thanks.