(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve using variation of parameters

y''' - 2y'' - y' + 2y = exp(4t)

2. Relevant equations

Solve using variation of parameters

3. 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

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Solve 3rd order ode using variation of parameters

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