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Mathematics
Mathematics
Problem
A function
y
(
x
)
y(x)
y
(
x
)
satisfies
d
y
d
x
=
x
2
−
1
\dfrac{dy}{dx}=x^{2}-1
d
x
d
y
=
x
2
−
1
with
y
(
2
)
=
5
y(2)=5
y
(
2
)
=
5
. Using one step of size
h
=
−
0.2
h=-0.2
h
=
−
0.2
beginning at
x
=
2
x=2
x
=
2
, approximate
y
(
1.8
)
y(1.8)
y
(
1.8
)
.
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