For the differential equation dxdy=y2−4, let y(0)=1. Which of the following long-term behaviors is most consistent with the slope field and the given initial condition?
a) The solution decreases without bound, so y→−∞ as x→∞.
b) The solution decreases and approaches y=−2 as x→∞, without crossing that value.
c) The solution decreases and approaches y=0 as x→∞.
d) The solution eventually increases without bound, so y→∞ as x→∞.