For a differential equation with an initial condition at

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

Problem

x=0

, two numerical approximations of

y(1)

were obtained: • Using a uniform step of

h=0.2

, the approximation is

1.713

. • Using a uniform step of

h=0.1

, the approximation is

1.678

. The exact value is known to be

1.660

. If the required tolerance is an absolute error less than

0.025

, which step size meets the tolerance while requiring the least number of steps? (a) Both

h=0.2

and

h=0.1

(b)

h=0.1

only (c) Neither

h=0.2

nor

h=0.1

(d)

h=0.2

only