Find the solution of the system x²=4y,y²=2x, where primes indicate derivatives with respect to t, that satisfies the initial condition x(0)=2,y(0)=2.
x = ____
y = ____
Based on the general solution from which you obtained your particular solution, complete the following two statements: The critical point (0,0) is
A. asymptotically stable
B. stable
C. unstable