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Really Quick Differential Equation question

2,981
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!!Really Quick Differential Equation question...

1. Homework Statement
Alright so this is what I have for this problem. As you can see I used -i to find my Eigenvectors.....now when I find my solution and plug it back into the original, I am getting the opposite of what I am supposed to get.

Was I supposed to use -t instead of +t in my solution since I used lambda=-i to find it?
Or did I make some stupid algebraic error again?


Picture3-4.png


THanks!
 

Answers and Replies

2,981
2
I am thinking I should have used cos(-t) and sin(-t) since I used [itex]-i\Rightarrow \alpha=0\ \beta=-1[/itex]
 
2,981
2
I am thinking I should have used cos(-t) and sin(-t) since I used [itex]-i\Rightarrow \alpha=0\ \beta=-1[/itex]
I replaced t with -t and this worked. So I will assume my reason was correct.
 

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