Mathematics

Mathematics

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

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