Solve the separable differential equation (dx)/(dt) = x^(2) (1)/(9).
a. What is the solution to the given differential equation?

a) x(t) = (3t)/(3t - 1)
b) x(t) = (3t - 1)/(3t)
c) x(t) = (3t)/(3t + 1)
d) x(t) = (3t + 1)/(3t)