A solution to satisfies

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

A solution to

\dfrac{dy}{dx}=-xy

satisfies

y(0)=1

. Starting at

(0,1)

, a student moves along the slope field using three successive tangent segments, each

0.1

unit long in the positive

x

-direction. Which of the following is the best estimate of

y

when

x=0.3

? (a)

1.03

(b)

0.97

(c)

1.00

(d)

0.96