Mathematics

Mathematics

Problem

The slope field for the differential equation dydx=y(3−y)\dfrac{dy}{dx}=y(3-y) contains two equilibrium solution curves. Which yy-value corresponds to a stable equilibrium indicated by horizontal segments toward which nearby solution curves tend as xx increases? a) y=0y=0 b) y=3y=3 c) y=1.5y=1.5 d) y=−3y=-3

Browse the problem library