AP Calculus BC 7.3: Slope Fields

The depth of seawater at a location can be modeled by the function H that satisfies the differential equation $\frac{d H}{d t}=\frac{1}{2}(H-1) \cos \left(\frac{t}{2}\right)$, where H(t) is measured in feet and t is measured in hours after noon ( t=0 ). It is known that H(0)=4.

A portion of the slope field for the differential equation is provided. Sketch the solution curve, y=H(t), through the point (0, 4).