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Homework Statement
Solve using variation of parameters
y''' - 2y'' - y' + 2y = exp(4t)
Homework Equations
Solve using variation of parameters
The Attempt at a Solution
I got the homogenous solutions to be 1, -1, and 2.
So, y = Aexp(t) + Bexp(-t) + Cexp(2t) + g(t)
I got W{exp(t), exp(-t), exp(2t)} = 6exp(2t)
My professor did quite an unsatisfactory job explaining variation of parameter for high order equations (spent an hour and 30 minutes trying to do 1 problem, and still didn't finish it correctly). So I just need to be pointed in the right direction.
Thanks