For the differential equation

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

Problem

\dfrac{dy}{dx}=x+y

, three candidate expressions are given: (i)

y=C e^{x}-x-1

(ii)

y=e^{x}-x-1

(iii)

y=3e^{x}-x-1

Identify which expression represents the general solution and briefly explain why.