(1 point) Consider the system of differential equations

dx/dt =2y

dy/dt=2x.

Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation.

Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=2 and y(0)=3, what are x and y?

x(t)= y(t)=