In the context of a slope field for a first-order differential equation
MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations
Problem
In the context of a slope field for a first-order differential equation dxdy=f(x,y), which of the following best describes an equilibrium solution?
(a) A vertical line on which every segment of the slope field is vertical.
(b) A solution curve that passes through the origin, regardless of its slope.
(c) A horizontal line along which every segment of the slope field has zero slope.
(d) An isolated point where the plotted slope is zero even though nearby slopes are not.