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- Feb 18th 2011, 03:39 PM #1
## Almost there...

Hey, I got most of the way through this reduction of order problem, but then my brain gave out right at the end.

Given the equation and the solution , write the general solution.

I make the substitution and do all the proper work and get here:

and my brain gives out. I know this is easy, How do I find u?

- Feb 18th 2011, 03:44 PM #2

- Feb 18th 2011, 06:30 PM #3

- Feb 18th 2011, 07:27 PM #4
Right but I think the point of the questions is to see how to get a 2nd linerly inpendant vector when you have a repeated root to the charateristic equation. Without this derivation how would we know what the 2nd vector is? Plus a great gereralization of this is variation of parameters!