Let with . Using a single tangent-line step of size , which of the following is the…

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

Problem

Let

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

with

y(0)=1

. Using a single tangent-line step of size

h=0.2

, which of the following is the best numerical estimate of

y(0.2)

? (a)

1.24

(b)

1.2

(c)

1.04

(d)

1.02