OK, this one utterly baffles me.
I am given two solutions to an nth-order homogeneous differential equation with constant coefficients. Using the solutions, I am supposed to put a restriction on n (such as n>=5)
I have no idea what method, theorem, or definition is useful to do this.
My current "theory" is that I must find all the different derivatives of the solutions and tally up how many unique derivatives they have. This is wrong, but am I going in the right direction?
The specific solutions for the example are t^3 and (t)(e^t)(sint)
These solutions are to an nth-order homogeneous differential equation with constant coefficients, which means that n >= ?
Thanks in advance.