Consider the initial‐value problem with

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

Problem

Consider the initial‐value problem

\displaystyle \frac{dy}{dx}=x+y

with

y(0)=1

. A table of

(x,y)

values is generated with a constant increment

\Delta x=0.1

. What is the approximate value of

y

when

x=0.2

? (a)

1.24

(b)

1.22

(c)

1.20

(d)

1.21