Linear Dependence/Independence

The question asks me to determine whether the given set of functions is linearly dependent or linearly independent. If they are linearly dependent I must find a linear relation among them.

So I computed to the 4th derivative of each one of these, and then put them in a 4x4 matrix, in order to solve the Wronskian and see if its nonzero. My only question is, how do I go about solving this 4x4 matrix?

Is there an easier way to do this problem/finding linear dependence and independence?