Determine if the following sets of functions are linearly dependent or linearly independent. f(t) = cos(t), g(t) = sin(t), h(t) = -sin(t) For a particular differential equation, two solutions were found (see below) but need to be verified if they form a fundamental set of solutions. Show if this is or is not the case for the following set of solutions. y(t) = e-5t, y(t) = e-t For a particular differential equation, two solutions were found (see below) but need to be verified if they form a fundamental set of solutions. Show if this is or is not the case for the following set of solutions. y(t) = cos(t), y2(t) = cos(t)