I was never great in diffEQ, but now I have to solve this problem for physics homework and I'm pretty lost.
d^4x/dx^4 - d^2x/dx^2 + a =0
Where a is a parameter.
The Attempt at a Solution
I have tried solutions like e^kt which work accept for the parameter a. The problem asks specifically what happens if a varies, so I cant even treat it like a constant