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Mathematics
Mathematics
Problem
Consider the differential equation
d
y
d
x
=
x
+
y
\dfrac{dy}{dx}=x+y
d
x
d
y
=
x
+
y
with
y
(
0
)
=
1
y(0)=1
y
(
0
)
=
1
. Using a single step of size
h
1
=
0.1
h_1=0.1
h
1
=
0.1
, determine the numerical approximation to
y
(
0.1
)
y(0.1)
y
(
0.1
)
.
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