Consider the differential equation

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

Problem

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

. A solution curve passes through

(-1,0)

. Using only information from the slope field, determine whether this curve crosses the

y

-axis (at

x=0

) above or below the

x

-axis. Provide your answer (“above” or “below”) and justify briefly using the sign of the slope between

x=-1

and

x=0