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Mathematics
Mathematics
Problem
Consider the differential equation
d
y
d
x
=
x
2
−
y
\dfrac{dy}{dx}=x^{2}-y
d
x
d
y
=
x
2
−
y
with initial condition
y
(
0
)
=
0
y(0)=0
y
(
0
)
=
0
. Using horizontal step size
0.3
0.3
0.3
, what is the best Euler estimate of
y
(
0.6
)
y(0.6)
y
(
0.6
)
? a)
−
0.027
-0.027
−
0.027
b)
0.090
0.090
0.090
c)
0.027
0.027
0.027
d)
0.108
0.108
0.108
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