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Euler's method with step 0.1 is used for dy/dx = x + y… | StemPy Lab
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Euler's method with step 0.1 is used for dy/dx = x + y, starting at (1, 2). What is the estimate of y at x = 1.2, after two steps?
Mathematics
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High School (11–12)
Functions and Calculus › Differential Equations
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Euler's method with step
0.1
0.1
0.1
is used for
d
y
d
x
=
x
+
y
\dfrac{dy}{dx} = x + y
d
x
d
y
=
x
+
y
, starting at
(
1
,
2
)
(1, 2)
(
1
,
2
)
. What is the estimate of
y
y
y
at
x
=
1.2
x = 1.2
x
=
1.2
, after two steps?
2.70
2.70
2.70
2.64
2.64
2.64
2.60
2.60
2.60
2.30
2.30
2.30
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