Consider the differential equation

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Consider the differential equation dydx=k (1−y)\dfrac{dy}{dx}=k\,(1-y), where k>0k>0. Describe how increasing the value of kk affects the overall appearance of its slope field while leaving the equilibrium solution unchanged.

Related theory

Browse the problem library