A solution of passes through the point

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

Problem

A solution of

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

passes through the point

(1,2)

. Using one backward tangent-line step to

x=0.5

(so

h=-0.5

), which value best approximates

y(0.5)

? (a)

1.45

(b)

2.5

(c)

1.5

(d)

1.13