Hi,

I was given this problem in my diff equation class and I have no idea how to go about proving it. Thanks a lot for your help:

Let A=A(t) be an n x n matrix continuous on (a,b) and let c be in (a,b) and let W(t) be the Wronskian of a set of n solutions of the equationx=Ax.

Show that for any a < t < b, $\displaystyle W(t) = W(c)*exp(\int_c^t \! trace(A(s))ds)$