Euler'S Method Worksheet With Answers Page 2
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6Calculus Maximus
WS 5.3: Euler’s Method
2. Suppose a continuous function f and its derivative f have values that are given in the following table.
Given that
f
2
5
, use Euler’s Method with two steps of size
to approximate the value of
x
0.5
f
(3)
.
x
2.0
2.5
3.0
0.4
0.6
0.8
f x
f x
( )
5
dy
1
3. Given the differential equation
and
y
0
1
, find an approximation of
y
1
using Euler’s
dx
x
2
Method with two steps and step size
x
0.5
.
dy
4. Given the differential equation
x
y
and
y
1
3
, find an approximation of
y
2
using Euler’s
dx
Method with two equal steps.
Page 2 of 6
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