A slope field is shown for an unknown differential equation

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

Problem

A slope field is shown for an unknown differential equation. Along the line

x=1

, the segment through

(1,0)

rises steeply with an approximate slope of

3

, while the segment through

(1,2)

rises more gently with an approximate slope of

1

. Determine which solution curve near

x=1

is increasing more rapidly and briefly explain why.