Let with . Starting at with , a student generates three successive points using…

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

Problem

Let

y'=x+y

with

y(0)=1

. Starting at

x_0=0

with

y_0=1

, a student generates three successive points using variable increments

h_1=0.30

h_2=0.10

, and

h_3=0.20

. What is the student’s approximate value of

y

x=0.60

after these three steps? (a)

2.03

(b)

1.83

(c)

1.60

(d)

1.71