The family of functions

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

The family of functions y=Ce3xy = Ce^{3x}, where CC is an arbitrary constant, is given. Which of the following first-order differential equations is satisfied by every member of this family? (a) dydx−3=0\dfrac{dy}{dx}-3=0 (b) dydx−3y=0\dfrac{dy}{dx}-3y=0 (c) dydx+3y=0\dfrac{dy}{dx}+3y=0 (d) dydx−3xy=0\dfrac{dy}{dx}-3xy=0

Related theory

Browse the problem library