Use the Wronskian to determine whether the functions y_1 = e^{x+2} and y_2 = e^{x+4} are linearly independent. Wronskian = \mathrm{det} \left.\vphantom{\begin{array}{c}\!\ strut\\\!\strut\\\!\strut\\\end{arr ay}}\right[ e^(x+2) e^(x+4) \left.\vphantom{\begin{array}{c}\!\ strut\\\!\strut\\\!\strut\\\end{arr ay}}\right] e^(x+2) e^(x+4) = e^(x+2) * e^(x+4) - e^(x+4) * e^(x+2) The test for linear independence of the set \lbrace e^{x+2}, e^{x+4} \rbrace using the Wronskian is inconclusive because the Wronskian is for all x. If the functions e^{x+2} and e^{x+4} are linearly dependent, find a nontrivial solution to the equation below. If they are linearly independent, enter all zeros to indicate that the only solution to the equation is the trivial solution.