A slope field is sampled at four points with the following measured segment slopes: , , ,

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

Problem

A slope field is sampled at four points with the following measured segment slopes:

(0,1):0

(0,2):0

(1,0):1

(2,0):2

. Based solely on these data, determine whether the governing differential equation is most likely of the form

\dfrac{dy}{dx}=f(x)

\dfrac{dy}{dx}=g(y)

, or

\dfrac{dy}{dx}=h(xy)