# 2nd Order Linear O.D.E. Help

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• Oct 20th 2008, 12:22 AM
mr fantastic
Quote:

Originally Posted by U-God
Thanks again,

I handed my work in and it all looks good, however some of my friends said that they did it by using the form $\displaystyle x (A \cos x + B \sin x)$.
You said here that that form wouldn't work and to move on to the next form up, so out of interest when I got home I tried it with form: $\displaystyle x (A \cos x + B \sin x)$ and lo and behold I got the same answer as with form: $\displaystyle (x + C x^2) (A \cos x + B \sin x)$.

Does that mean I did something wrong?
Cheers,

It's the most general form .... If you got the same answer using $\displaystyle x (A \cos x + B \sin x)$ that would mean C = 0.

Actually I thought I read somewhere in a thread that trying $\displaystyle x (A \cos x + B \sin x)$ didn't work, but I must have only imagined I saw it.
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