Alright, so this is what I've done so far:
- First, form the characteristic quadratic equation, and solve it.
- I solved it using the quadratic formula to get solutions
$-\frac{1}{2} \pm i\frac{\sqrt{3}}{2}$
- Then the answer should be $y(x) = e^{x/2}(A\cos(\sqrt{3}x/2) + B\sin(\sqrt{3}x/2))$ right?
- Webworks gives me two blanks to fill in: It has $y(x) = C_1$ ____ + $C_2$ _____ where $C_1$ and $C_2$ are constants.
- I just distributed the $e^{x/2}$ and put in $e^{x/2}\cos(\sqrt{3}x/2)$ and the same thing except replacing $\cos x$ with $\sin x$. I also tried swapping the answers. Also, I found out it doesn't accept answers with the imaginary unit in them.
- Any idea what format my professor could want the answers in? Am I even doing the problem correctly?
Any help is greatly appreciated! I'll respond quickly
The comment below just solved my problem I believe, thank you!