Consider the initial value problem.y' + 2/3 y = 1 − 1/2 t, y(0) = y0. Find the value of y0

Consider the initial value problem.y’ + 2/3 y = 1 − 1/2 t, y(0) = y0.
Find the value of y0 for which the solution touches, but does not cross, the t-axis.