Let x and y be functions of t. Find the general solution of the system of equations below by first converting the system into second-order differential equations involving only y and only x. Find a particular solution for the initial conditions. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. x=2y, y' = 8x; x(0) = 12, y(0) = -16 Solve for x(t). Choose the correct answer below. OA. x(t)=Aet + Be B. x(t)=Ae4t+ Be 4 8t 4t C. x(t) A cos (4t) + B sin (4t) D. x(t) A cos (8t) + B sin (8t) Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t)=