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Mathematics
Problem
A function
y
(
x
)
y(x)
y
(
x
)
satisfies
d
y
d
x
=
x
1
+
y
2
\dfrac{dy}{dx}=\dfrac{x}{1+y^{2}}
d
x
d
y
=
1
+
y
2
x
with
y
(
0
)
=
0
y(0)=0
y
(
0
)
=
0
. Which of the following is the best approximation of
y
(
1
)
y(1)
y
(
1
)
? a)
0.82
0.82
0.82
b)
0.52
0.52
0.52
c)
1.14
1.14
1.14
d)
0.41
0.41
0.41
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