Euler's Method
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find
y
2
y_{2}
y
2
using Euler's Method with
h
=
0.1
h=0.1
h
=
0.1
,
y
1
=
0
y_1=0
y
1
=
0
, and
f
(
x
,
y
)
=
x
y
+
1
f(x,y)=\frac{x}{y+1}
f
(
x
,
y
)
=
y
+
1
x
at
x
1
=
0.1
x_1=0.1
x
1
=
0.1
.
QUESTION
Find
y
2
y_{2}
y
2
using Euler's Method with
h
=
0.2
h=0.2
h
=
0.2
,
y
1
=
2.2
y_1=2.2
y
1
=
2.2
, and
f
(
x
,
y
)
=
y
−
x
f(x,y)=y-x
f
(
x
,
y
)
=
y
−
x
at
x
1
=
1.2
x_1=1.2
x
1
=
1.2
.
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
.
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ANSWER
y
1
=
1.1
y_1 = 1.1
y
1
=
1.1
. Using
y
1
=
1
+
0.1
(
0
+
1
)
=
1.1
y_1 = 1 + 0.1(0 + 1) = 1.1
y
1
=
1
+
0.1
(
0
+
1
)
=
1.1
.
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