Euler's Method
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the effect of decreasing the step size
h
h
h
?
QUESTION
Find
y
1
y_{1}
y
1
using Euler's Method with
h
=
0.1
h=0.1
h
=
0.1
,
y
0
=
1
y_0=1
y
0
=
1
, and
f
(
x
,
y
)
=
x
+
y
f(x,y)=x+y
f
(
x
,
y
)
=
x
+
y
at
x
0
=
0
x_0=0
x
0
=
0
.
QUESTION
What is the purpose of the step size
h
h
h
in Euler's Method?
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ANSWER
Determines the increment between x-values. Smaller steps provide more accurate approximations but require more calculations.
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