The differential equation is accompanied by the initial condition

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

Problem

The differential equation

\dfrac{dy}{dx}=x^2-y

is accompanied by the initial condition

y(0)=1

. Using the slope field, which point is most consistent with the location of the solution curve after a small increase in

x

? (a)

(0.1,1.0)

(b)

(0.1,1.1)

(c)

(0.1,0.9)

(d)

(0.1,0.99)