A slope field for the differential equation shows a horizontal line at acting as an…

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

Problem

A slope field for the differential equation dydx=y(1−yk)\dfrac{dy}{dx}=y\Bigl(1-\dfrac{y}{k}\Bigr) shows a horizontal line at y=4y=4 acting as an equilibrium solution. Determine the value of the constant kk.

Related theory

Browse the problem library