Let (x(t), y(t)) be a nontrivial solution of the following nonautonomous system. dx dy a-Vaa-'X Suppose that (t) = x(t + y) and 1410) = y(t + y), where 7 0. Show that (11)\"), w(t)) is not a solution of the system. Find expressions for '(t) and w'(t) for a reason why (t) and Mt) cannot be a solution of the system. ll 4 4\"\") V Y l ll 4 IN!) Y V V = V V This results in a contradiction because the system. , so while would solve the rs equation in the system, does not satisfy the second equation in the system. Therefore (4)\"), w(t)) is not a solution of